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Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched capacitor filter Wilbur, Mickey Joe D. Monterey, California. Naval Postgraduate School http://hdl.handle.net/10945/9151

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Page 1: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Calhoun: The NPS Institutional Archive

Theses and Dissertations Thesis Collection

1998-03-01

The VLSI implementation of a GIC switched

capacitor filter

Wilbur, Mickey Joe D.

Monterey, California. Naval Postgraduate School

http://hdl.handle.net/10945/9151

Page 2: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched
Page 3: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

DUDLEY KNOX LIBRARY^^POSTGRADUATE SCHOOLMONTEREY CA 93943-5101

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Page 5: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched
Page 6: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

NAVAL POSTGRADUATE SCHOOLMONTEREY, CALIFORNIA

THESIS

THE VLSI IMPLEMENTATION OF A GICSWITCHED CAPACITOR FILTER

by

Mickey Joe. D. Wilbur

March 1998

Thesis Advisor: Sherif N. Michael

Approved for public release; distribution is unlimited.

Page 7: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched
Page 8: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

REPORT DOCUMENTATION PAGE Form Approved OMB No. 0704-0188

Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instruction, searching existing data sources,

gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this

collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215

Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302, and to the Office of Management and Budget, Paperwork Reduction Project (0704-0188) Washington DC20503.

1 . AGENCY USE ONLY (Leave blank) 2. REPORT DATEMarch 1998.

3 . REPORT TYPE AND DATES COVEREDMaster's Thesis

TITLE AND SUBTITLETHE VLSI IMPLEMENTATION OF A GIC SWITCHED CAPACITOR FILTER

6. AUTHOR(S) Wilbur, Mickey J. P.

FUNDING NUMBERS

7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)

Naval Postgraduate School

Monterey CA 93943-5000

PERFORMINGORGANIZATIONREPORT NUMBER

9. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSORING/MONITORINGAGENCY REPORT NUMBER

11. SUPPLEMENTARY NOTES The views expressed in this thesis are those of the author and do not reflect the

official policy or position of the Department of Defense or the U.S. Government.

12a. DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution is unlimited.

12b. DISTRIBUTION CODE

13. ABSTRACT (maximum 200 words)

In this research, the design and VLSI implementation of a digitally programmable active analog filter,

based on the Generalized Immittance Converter (GIC) circuit, are presented. The programmable features

include the filter type (band-pass, high-pass, low-pass or notch), the center or cut-off frequency, and the

quality factor. Switched capacitor networks are used to implement resistances. The design was first

simulated and then implemented on a wire-wrap board and tested. The circuit was then modeled and re-

simulated using the Cadence Design Tools software package. Once the modeled circuit passes all design

rule checks the final chip design was then submitted for fabrication. This research project will help

provide a knowledge base for using Cadence software for VLSI CMOS design. Once the chip has been

fabricated and tested it will provide a base for further development of stray insensitive VLSI design of

analog circuits.

14. SUBJECT TERMS switched capacitor, GIC, VLSI, Cadence. 15. NUMBER OFPAGES 152

16. PRICE CODE

17. SECURITY CLASSIFICA-

TION OF REPORTUnclassified

18. SECURITY CLASSIFI-

CATION OF THIS PAGEUnclassified

19. SECURITY CLASSIFICA-

TION OF ABSTRACTUnclassified

20. LIMITATION OFABSTRACTUL

NSN 7540-01-280-5500 Standard Form 298 (Rev. 2-89)

Prescribed by ANSI Std. 239-18 298-102

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11

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Approved for public release; distribution is unlimited

THE VLSI IMPLEMENTATION OF A GICSWITCHED CAPACITOR FILTER

Mickey Joe D Wilbur

Lieutenant, United States Navy

B.S.E.E.T, Memphis State University, 1991

Submitted in partial fulfillment of the

requirements for the degree of

MASTER OF SCIENCE IN ELECTRICAL ENGINEERING

from the

NAVAL POSTGRADUATE SCHOOLMarch 1$>8

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Page 12: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

ABSTRACT

In this research, the design and VLSI implementation of a digitally programmable

active analog filter, based on the Generated Immittance Converter (GIC) circuit, are

presented. The programmable features include the filter type (band-pass, high-pass, low-

pass or notch), the center or cut-off frequency, and the quality factor. Switched capacitor

networks are used to implement resistances. The design was first simulated and then

implemented on a wire-wrap board and tested. The circuit was then modeled and re-

simulated using the Cadence Design Tools software package. Once the modeled circuit

passes all design rule checks the final chip design was then submitted for fabrication. This

research project will help provide a knowledge base for using Cadence software for VLSI

CMOS design. Once the chip has been fabricated and tested it will provide a base for

further development of stray insensitive VLSI design of analog circuits.

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VI

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TABLE OF CONTENTS

I. INTRODUCTION 1

A. BACKGROUND 1

B. THESIS ORGANIZATION 2

II. THE PROGRAMMABLE GENERALIZED IMMITTANCE CONVERTERDEVELOPMENT 3

A. BASIC FILTERS 3

B. PASSIVE AND ACTIVE FILTERS 6

C. THE GIC FILTER 7

D. SENSITIVITY 11

m. SWITCHED CAPACITOR NETWORKS 19

A. INTRODUCTION TO SWITCHED CAPACITORS 19

B. THE TWO-PHASE NON-OVERLAPPING CLOCK DESIGN 22

C. CONTINUOUS/DISCRETE 27

D. BILINEAR TRANSFORMATION SIDE EFFECTS 30

E. THE BILINEAR SWITCHED CAPACITOR RESISTOR 30

F. SPICE SIMULATION OF THE BILINEAR SWITCHED CAPACITORRESISTOR : 34

VI. THE OPERATIONAL AMPLIFIER 39

A. INTRODUCTION 39

B. EXAMINING THE OPERATIONAL AMPLIFIER 39

1. Input Bias Current 40

2. Input Offset Voltage 40

3. Common Mode Rejection Ratio (CMRR) 41

4. Input Impedance 41

5. Output Impedance .-. 42

6. Frequency Response 42

7. Slew Rate 42

8. Finite Dc Gain 43

9. Finite Linear Range 43

C. METAL OXIDE SEMICONDUCTOR (MOS) OPERATIONALAMPLIFIER 43

D. TESTING THE OPERATIONAL AMPLIFIER 44

V. DESIGNING THE GENERALIZED IMMITTANCE CONVERTER FILTER.. 55

A. INTRODUCTION 55

B. PROGRAMABILITY 55

C. PROGRAMMABLE FILTER TOPOLOGY 56

D. PROGRAMMABLE POLE FREQUENCY TOPOLOGY 59

E. PROGRAMMABLE POLE QUALITY FACTOR TOPOLOGY 62

F. CONSTRUCTION AND TESTING OF THE PROGRAMMABLE GICCIRCUIT 64

VI. VLSI LAYOUT 67

A. INTRODUCTION 67

Vll

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B. SEMICONDUCTORS 67

C. METAL OXIDE SILICON TRANSISTORS 70

D. DESIGN LIMITATIONS 73

E. CADENCE DESIGN TOOLS 77

F. VLSI LAYOUT 78

VII. CONCLUSIONS AND RECOMMENDATIONS 83

A. CONCLUSIONS 83

B. RECOMMENDATIONS 84

APPENDIX A. PROGRAMMABLE GIC FILTER 85

APPENDLX B. PROGRAMMABLE GIC FILTER LAYOUT 121

LIST OF REFERENCES 141

INITIAL DISTRIBUTION LIST 143

VHl

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I. INTRODUCTION

A. BACKGROUND

In the 1 960's most electrical circuits and systems were designed and implemented using

analog devices such as communications filters. As circuit technology has progressed through

the 70's and 80's, new design alternatives are available to practicing engineers. In particular,

significant advances have been made in the development of digital components, making them

smaller, lighter and faster than their analog counterparts. As a result of this reduction in size

and improved speed, many applications were being converted from analog technology to

digital. Now in the 1990's digital circuits are capable of performing even more complex

functions. For example, digital filters now routinely replace analog filters in a variety of circuits.

Establishing the proper interface between very complex digital circuits and analog

circuits is critical to developing the systems required in today's world marketplace. In particular,

analog circuits are still vital in a variety of applications including spacecraft control, remote

sensing, and communications equipment. In the past, interfacing an analog system to a digital

system was normally accomplished by separate components. Now it is possible to integrate the

interface into the design of the digital component. By integrating the analog interface, circuit

size and weight are minimized.

Very Large Scale Integration (VLSI) techniques provide the capability to integrate

analog and digital circuits on the same microchip. High-power Computer Aided Design (CAD)

tools and simulation models are tools readily available to the designer ofVLSI components. By

using these tools, it is possible to design high performance inexpensive interface technology.

For instance, a circuit designer can develop and build a programmable stray insensitive mixed-

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signal (Digital/Analog) VLSI filter on a single microchip. The research work presented in this

thesis reports on the design of a stray insensitive Programmable General Immittance Converter

(GIC) circuit using the Cadence VLSI Complementary Metal Oxide Semiconductor (CMOS)

design package. [1]

B. THESIS ORGANIZATION

The goal of this thesis is to design, manufacture and test a digitally programmable stray

insensitive GIC filter. Basic filter structures and the reasons for choosing the GIC design are

discussed in Chapter II. In Chapter III the advantages and operation of switched capacitor

filters are explained. Chapter IV examines the operational amplifier and provides test results to

validate the applicability of its application in the GIC filter design. Chapter V details the design

and testing of a digitally programmable GIC filter. Design limitations and VLSI layout of the

GIC filter are documented in Chapter VI. Finally, conclusions and recommendations for future

work are outlined in Chapter VII.

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II. THE PROGRAMMABLE GENERALIZED IMMITTANCECONVERTER DEVELOPMENT

A. BASIC FILTERS

A filter is a device that consists of a group of components including resistors,

capacitors, inductors and sometimes active devices such as operational amplifiers. The primary

purpose of most filters is to modify the amplitude response of a circuit to a signal so that

certain frequencies are attenuated or blocked, while others pass through unchanged. Most

filters are placed in a group based on frequency ranges that are attenuated or passed. According

to this classification, there emerge four basic filter topologies whose ideal frequency response

characteristics are described in Table 2.1. These include low-pass, high-pass, band-pass and

notch filters. For instance, a low-pass filter is one that attenuates the high-frequency

components of a signal while passing through the low-frequency components

A circuit designer attempts to implement an approximation to the ideal characteristics

illustrated in Table 2.1. An ideal filter would pass only the desired frequencies and attenuate all

others. In order to achieve near ideal filter response, the filter circuit generally becomes more

complex, contains more components and is more expensive. With this background in mind,

the variation in the quality of each component will have to be examined.

The Quality factor, or "Q", is a parameter used to describe the selectivity performance

of a filter. For a first order filter, the Q parameter relates the distance of the filter pole to the

joy - axis . For a more selective filter the Q value must be high. A high Q implies that the poles

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RC Low-Pass Filter Ideal Response

R V

r

+

CL

Frequency

Low-pass

RC High-Pass Filter Ideal Response

C V

1 1

1 1 J

R

i

Frequency

High-pass

RLC Band-Pass Filter Ideal Response

R V1 1

L

r

+

L_i_

c

-

Frequency

Band-pass

RLC Notch Filter Ideal Response

C V

1 I—1 1

LT A

R

i i

FnNot

equency

ch Filter

Table 2.1: Four Basic Filters with Frequency Response

Page 20: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

of the filter have to be closer to the jco - axis . The Q of a filter can be calculated by taking the

inverse of the normalized bandwidth of the filter. Calculations for the normalization can be

achieved by using the half power (3dB) point of the filter. Figure 2.1 illustrates the Q

calculation. [2]

Q =COo

(Eq.2.1)

OdB

-3dB

GaindB

CO „"*- B W = —2-

Qs N

J

\ 1

{co - 1 co co o + 1

Frequency

Figure 2.1: Q Factor for Band-Pass Filter

Filters are designed to accept or reject a frequency or range of frequencies. Typically

the filter is described mathematically in the frequency domain through the use of transfer

functions. The order of the denominator polynomial of the transfer function determines the

order of the filter. The second-order bi-quad transfer functions are considered to be the basic

building blocks for filters. Transfer functions for the four basic filter structures are presented in

Table 2.2. The designer may choose a higher order filter but the complexity of the system

would increase since realization would require additional components. [3]

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Filter Topology Transfer Function

Low-pass

2ft)2

IK r\P

IlvS) —, ft)_

S +-TS + CD

Qp

High-pass

IKs)2'

2

n ( s )—

, ft).

S +—-S + CO

2p

Band-pass

2ft)

n(S ) —, ft)_

S +—TS + G)

Notch

llf c\ nn(S) —

ft)2 P

Qp

Table 2.2: Four Filter Topologies with Corresponding Transfer Functions

B. PASSIVE AND ACTIVE FILTERS

Prior to advances in solid-state technology, inductors and capacitors were used

exclusively for realizing simple filters. These components proved to be effective for realizing

low-pass, high-pass, band-pass, and notch filters. These passive LC circuits normally work well

at high frequencies, but LC circuits have very poor performance at low frequencies. Inductors

are not practical for low frequency applications because of the required large size and non-ideal

characteristics. Therefore, considerable interest has been placed on designing inductorless

filters. The operational amplifier (OP AMP) is the major component in inductorless filter

design.

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OP AMPs, resistors and capacitors are the major components of an active-RC filter

(inductorless filter circuit). The basic idea is to realize, using feedback techniques, transfer

functions previously only attainable using both inductors and capacitors. This design can also

be implemented using switched capacitor technologies. Many different circuits have been

designed to realize an inductorless filter. However, the GIC filter is the least sensitive to the

non-ideal characteristics of the operational amplifier. [4]

C. THE GIC FILTER

Filters are designed in various configurations. The most popular configurations include

the Bessel-Thompson, Chebyshev, and Butterworth filters. Engineers like to exploit certain

characteristics, like filter sensitivities, for specific applications. Performance may be viewed in

terms of sensitivity. The variation of components with temperature, fabrication process and

parasitic capacitance will all effect the filter performance. Sensitivity calculations should be

compared to actual operating parameters of a comparable filter design. Sensitivity calculations

are used when optimizing a filter design. A detailed calculation of sensitivity for a highpass

filter, as an example, will be covered later in this chapter.

A well known circuit that is very tolerant to the non-ideal operational amplifier

characteristics is the Generalized Impedance Converter introduced by Antoniou [4]. The GIC

filter design is based on the properties of Antoniou's Generalized Impedance Converter. The

GIC filter design was introduced by Mikhael and Bhattachararyya [4] and proved to be very

insensitive to non-ideal component characteristics and variations in component values. Figure

2.2 shows the general topology of the GIC filter.

Page 23: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Figure 2.2: Generalized Immittance Converter Filter Topology

The transfer functions relating vin

to voltages v, and v2are given by

_ vt

717475 + 7377(72 + 76)- 7375781 ~ v

in

' Y \Y4(Y5 + Y6) + Y2Y3(Y7 + 78)(Eq. 2.2)

v, YIY4Y5 + YIY5YSY + Y2Y3Y7 - YIY6Y1

Vin

7174(75 + 76) + 7273(77 + 78)(Eq. 2.3)

Filter

Type

Yl Y2 Y3 Y4 Y5 Y6 Y7 Y8

Lowpass G C C+G/Qp G G O GHighpass G G C G G C G/QpBandpass G G C G G G/Qp CNotch G G C G G C G/Qp

Table 2.3: GIC Filter Admittance Values

Page 24: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

From the admittance values listed in Table 2.3, the filter topologies depicted in Table

2.1 can be realized. The outputs for the low-pass and notch filter topologies are taken from Ti,

while the outputs for the high-pass and band-pass topologies are taken from T2. Nodal analysis

can be used to derive the transfer functions for each filter with the outputs taken from Ti or

T2. In the previous transfer functions (Equations 2.2 and 2.3), operational amplifiers were

assumed to be ideal in order to simplify the derivation of the GIC filter equations. Comparing

the equations for Ti for both the ideal and non-ideal case, we can be shown that the difference

between the two frequency response plots is very small (Figure 2.3a and 2.3b). As a result of

this excellent sensitivity property, the GIC filter is used in this research. Figure 2.4

demonstrates the four different topologies.

Page 25: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

GIC as a High-Pass Filter

10 10

frequency (Hz)

Figure 2.3a: Ideal vs Non-Ideal Frequency Response

GIC as a High-Pass Filter

15

10-

m

CD

"S cB **

co>(0

-5

!

Ideal

Non-Ideal

;

10

frequency (Hz)

Figure 2.3b: Magnified Frequency Response Comparison

10

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X

< >-^AA/^-i-[^

<> G

a).

r-U-MV2

1 1 Ic).

-° T,

<>W\AA-*-

b).

ui J>~f—

f

c

"I

U2

-o T,

d).

T,

Figure 2.4: Four Topologies of the GIC Filter: a.) Low-Pass Filter, b.) High-Pass Filter

c.) Band-Pass Filter, d.) Notch Filter

D. SENSITIVITY

Since component values vary, the actual response of the filter deviates from the ideal.

In order to quantify and predict the deviations of the filter, the designer must examine the

sensitivity of the circuit. Component sensitivity can be calculated by using the classical

sensitivity function

A y/ dyxsi-LIM^-l

y(Eq. 2.4)

AX->0

where x represents the resistor, capacitor or Gain Band-Width-Product of the operational

amplifier andj represents the parameter of interest such as co or Q . For example (Eq. 2.5)

and (Eq. 2.6), show the non-ideal sensitivity results for a high-pass filter [5]:

11

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wfJf

wLC7dwt

G2 C3 C7

_ C1V1 /2 ( O -3/ G12 G4 2 G6 1

K BC1 G12 G4 2 G6 2

:7

G2 2 C3 2

=-- (Eq.2.5)

G2 2 C3 2

^ WP

WP G6^

J-M-io, o< C6

wo *56 J Ql 2G4 2

G6G6* flU 2/^^2GFG4

V

= - (Eq.2.6)G2 2 C3 2

C7'

G2 2 C3 2 C7 2

One can also calculate the passive sensitivity using the ideal transfer function:

7,=2j'

CO.

^J-'+Wr(Eq. 2.7)

By cascading two GIC filters, a 4th-order filter can be realized. By using (Eq. 2.7), the

sensitivities for such a 4th-order filter can be calculated:

wn wn w,

L~L~ci~Wo fcl ~/G1G4G6

V G2C3

f_iV7-% G1G4G6

,4/ V G2C3

C7 ~/2 -3/ ,

C7

(Eq. 2.8)

Wn W,, W,

f= f_

f=Gl ^0 _ gj

i"i" is"^o <?G1 "JG1G4G6VG2C3C7

^4 JVG2C3C7

- G1 1/^11- 1/W/4 4/7^7 /4

(Eq.2.9)

12

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w„

J=G8 CI

GS GSCI

QP

\ QPG8° = l (Eq. 2.10)

The previous method illustrates analytical calculations of GIC filter sensitivities. A

graphical method may also be used. Using the GIC non-ideal transfer function (Eq. 2.11)

Ti=-((Y7Y1 + Y3)(Y2 + Y5 + Y6)(1/A1))+((Y1Y4Y5) +

((Y2 + Y5 + Y6)(Y4 + Y7 + Y8)(Y 1 + Y3)( 1/(A 1A2))) + Y 1 (Y2 + Y5 + Y6)(Y4+ Y7 + Y8)( 1/A 1 ))

+

(Y3 Y7(Y2 + Y6)) - Y3 Y5 Y8))

(Y3(Y2 + Y5 + Y6)(Y4 + Y7 + YS)(l I A2)) + (YIY4(Y5 + Y6)) + (Y2Y3(Y7 + K8))

ox

(Eq. 2.11)

where A\ = A2 =— , and varying each of the filter components listed in Figure 5 by ten percent,s

we obtain the transfer function frequency response which is illustrated in Figures 2.6 through

2.13. A MATLAB program, is used to calculate the sensitivity for a 4th-order high-pass filter

while varying eight different component values by ± 10%. The MATLAB program outputs

two graphs (graph 1 depicts filter response of filter and graph 2 is the magnification of graph 1)

per component depicting variations in sensitivity. Figure 2.6a and 2.6b show the

Figure 2.5: 4th Order High Pass filter

13

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effects of an increase or decrease of 10% on R2. Upon comparing these frequency response

plots to those in Figure 2.7 through 2.13, it is clear that variations in the R2 component has the

largest impact on the magnitude response.

1 0% Variation in R2

~ 10CD

§>°

C8

-10

/

1 1 1 1 T 1 -T 1

"T^-— .;.

;

10% Increase:

—— Non-Ideal

. 10% Decrease

10"

frequency (Hz)

10J

Figure 2.6: a) 10% Variation in R2 b) Magnified 10% Variation in R2

14

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10% Variation in R22

_ 10CD

2.<DT33

% °CO

-10

<

y^" r̂T

/10% Increase:

— Non-Ideal

- 1 0% Decrease

10 10

frequency (Hz)

15

10

^——3^ -:

;

yy^y^10

Figure 2.7: a) 10% Variation in R22 b) Magnified 10% Variation in R22

10% Variation in R4

10CD

CDD

s, oCO

-10

- ' 11 '

- I 1

/ 10% Increase

—— Non-Ideal

- : 1 0% Decreas*f a

10' 10

frequency (Hz)

15

10

Ii i i i

Z~-~~~—•*"

10'

Figure 2.8: a) 10% Variation in R4 b) Magnified 10% Variation in R4

15

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10% Variation in R24

~ 10m

(DD

I o(0

-1010'

1 1 1

10% Increase:

—— Non-Ideal

10% Decrease

10=

frequency (Hz)

15

10

10

Figure 2.9: a) 10% Variation in R24 b) Magnified 10% Variation in R24

10% Variation in R8

_ 10CD

<DTJ3

K, o

-10

J10% Increase:

- Non- Ideal

10% Decrease

10' 10=

frequency (Hz)

Figure 2.10: a) 10% Variation in R8 b) Magnified 10% Variation in R8

16

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10% Variation in R28

~ 10CD

re

-10

i . i . . , .

»5^- -

//'

10% Increase:

—— Non-Ideal

. 10% Decrease

10' 10

frequency (Hz)

Figure 2.11: a) 10% Variation in R28 b) Magnified 10% Variation in R28

10% Variation in C3

^ 10m;o

<DT33

1. oCO

-10

Z-Si

r

'

.

10% Increase:

—— Non-Ideal

f- 10% Decrease

10 10"

frequency (Hz)

15

10

.-.^ZZZZ

yy^yy/y<S/yy

/

,•>

10

Figure 2.12: a) 10% Variation in C3 b) Magnified 10% Variation in C3

17

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1 0% Variation in C23

^ 10m2,o3

CO

-10

"'/'

ii 1

•:• •-——10% Increase:

—— Non-Ideal

—f- 10% Decrease

10"

frequency (Hz)

10"

Figure 2.13: a) 10% Variation in C23 b) Magnified 10% Variation in C23

This chapter has set forth the evidence required to show that the GIC filter is a very

attractive candidate for use with a non-ideal OP AMP and with components that may vary.

The next chapter introduces the characteristics and operation of the switched capacitor

implementation of the programmable GIC filter.

18

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III. SWITCHED CAPACITOR NETWORKS

A. INTRODUCTION TO SWITCHED CAPACITORS

In semiconductor fabrication, it is very difficult to control the exact thickness, length,

and width of the materials used in fabricating resistors. As a result, there are often large

variations in the values of resistance implemented in VLSI designs. A resistor is relatively-

simple to create, but its value can vary up to 50%. The resistance of a uniform slab of

conducting material may be expressed as

\ohms (Eq. 3.1)

where p = resistivity, t = thickness, 1 = conductor length, and w = conductor width. One

method used, which provides good results, is laser trimming, but it is very expensive and still

not exact. The switched capacitor technique seeks to replace the resistor in the circuit in order

to provide a more accurate design. In today's VLSI designs, CMOS capacitors can be

constructed within a tolerance of 0.1%. In order to tie together this discussion on component

variations, the following example is presented. The filter center frequency for a given filter is

set by the following RC product:

*>.=— (Eq-3.2)

Certainly ifR varies by as much as 50%, then 0) will also vary by as much as 50%. For

precision designs one needs accurate values for all components. A designer will also require a

predictable integrated circuit (IC) fabrication process [6]. The first step toward achieving very

accurate parameter values is to realize 0)Q using a ratio of capacitors. In the following, it will be

shown that a switched capacitor, Cr, can represent an equivalent resistor value, R, such that

19

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R =( 1 ^

fcCR

(Eq. 3.3)

where fcis the switching frequency. Therefore,

CQ„ =1

% C C-%/.. (Eq. 3.4)

Thus, ifwe can implement a resistor with a switched capacitance then the large variation in

center frequency can be eliminated.

Switched capacitor circuits operate on the principle that capacitors store a charge Q

with a potential difference V. With a slight bias in one direction to achieve a net transfer of

charge, one can achieve electric current flow. Therefore, if a capacitor CR is connected to a

node with voltage Va , it stores Qa= CRVa

. When connecting it to a subsequent node with

voltage Vb, the capacitor will recharge to Qb= CRVb . The charge transferred from Va to Vb is

AQ = Qa-Q

b =CR (va -Vb ).

Figure 3.1 illustrates the switched capacitor network, with, the switch being clocked on and off

v, -

swo o- o V,

Figure 3.1: Switch Capacitor Network

20

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at a rate fc= j/C . The clock frequency has to be much greater than the highest frequency

component \fc» f ) of the input signal. As a consequence, the voltage signals will not

change significantly over a switching period. Therefore, the average rate of transfer of charge

Q over the period T is considered current flow and may be expressed by

I=^- = AQfc= fc

CR (v, -V2 )

(Eq. 3.5)

Dividing the potential difference by I, we obtain the expression for resistance

V -V 1

R = - - = (Eq.3.6)I fc

cR

Actual implementation of the previous switching circuit is shown in Figure 3.2, where two

Metal Oxide Semiconductor (MOS) switches are used to accomplish the switching task. This

circuit requires two non-overlapping clock signals, Oj and 2 , as depicted in Figure 3.3. The

MOS transistors are switched on (T for closed) and off CO' for open). In Figure 3.2, when

t = nT, switch Si is closed momentarily to instantaneously charge the storage capacitor CR to

.. 1 1s,

TI

Figure 3.2: Switched Capacitor with npn Transistors

21

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Von..

Voff .

Vonl

Voff

t/Tt \

trrI

Figure 3.3: Non-Overlapping Clock Output

the value Va(nT). The capacitor then transfers all of the charge to node Vb t seconds later

when switch S2is closed. In order for this to work properly, the non-overlapping two-phase

clock of Figure 3.3 is required to prevent a direct short circuit that may occur if both switches

are closed simultaneously [1].

B. THE TWO-PHASE NON-OVERLAPPING CLOCK DESIGN

The two-phase clock is one of the most important parts of the Complementary Metal

Oxide Semiconductor (CMOS) switched capacitor GIC filter design. MOS and CMOS devices

will be discussed in detail in Chapter VI. The clock has to be non-overlapping and must have a

sufficiendy long duty cycle to allow proper charge transfer. Figure 3.4 shows the two-phase

22

Page 38: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

elk t>^0

>—1>

>—

>

=C> >—|>

>—\>

*1

-o

<Do

Figure 3.4: Two-Phase Non-Overlapping Clock Circuit

non-overlapping clock circuit. This design is based on a cross-coupled RS flip-flop. The

external elk input is fed into an inverter and a NOR gate, producing opposite signals through

the flip-flop. [7]

During initial Spice simulations the speed of each inverter pair was adjusted to ensure

non-overlapping clock outputs. The speed of the inverters was adjusted by the size ofNMOS

or PMOS devices used. The Spice simulation schematic is shown in Figure 3.5.

23

Page 39: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

\r-f- ±r ifF"

^4 IF

,-£ nr T.I

,-t ill in _O

St

ilr JJ

^o _5 I

O CM

i s

T.AJ

i±r

,.££FL

fp-

ilP"

_ t-iFP*

H

Figure 3.5: Spice Two-Phase Non-Overlapping Clock Schematic

24

Page 40: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Simulation of the two-phase clock was initiated with an input clock pulse of +5 volts at

a frequency of 1 MHz. This clock enabled the overall circuit to provide two separate clock

signals. The two signals were even and odd phases, non-overlapping at 1 MHz and are shown

in Figure 3.6. Magnification of Figures 3.6 is provided in Figures 3.7 and 3.8. [8]

Date/Time• c

run: 11/07/97 09:30:19:\Mickey\thesis\Thesis_l\2PH_CLK\Clk_2p.9ch

Temperature : 27.0

6.0V

(A) Cllc_2p. ant

4.0V

2.0V-

ov-

-2.0V-i

-4.0V-

i

-6.0V-I

i

1

i

'

)

1

1

1

i

1

1

i

M !

«

>

1

i

1

1

I

II

1

,

:

i

1

i

!,

s . 5us 1 . Ous 1 . 5us 2.0us 2 . 5us 3 . Ous 3 . 5us 4 . OusD V(M0:d) • V(M14:d)

TimeDate: November 07, 1997 Time: 09:32:32

Figure 3.6: Two-Phase Non-Overlapping Clock Spice Simulation Output

25

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• C:\Mickey\thesis\Thesis_l\2PH_CLK\Clk_2p.schDace/Time run: 11/07/97 09:30:19 Temperature: 27.0

5.0V

SEL»ov-

10V-

0V-

1

-10VHo.c

(A) Clk_2p.dat

a V(V5:*)

l

us 2 us 0.4us . 6us 0.8us 1 . Cusa V(M0:d) <• V(M14:d)

TimeDace: November 07, 1997 Time: 09:39:22

Figure 3.7: a). Input Clock Signal b). The Magnified Spice Output of the Two-PhaseNon-Overlapping Clock

C:\Mickey\thesis\Thesis_l\2PH_CLK\clk_2p.achDate/Time run: 11/07/97 09:30:19 Temperature : 27.0

6.0V-

4.0V-

2.0V-

ov-

-2.0V-

-4.0V-

-6.0V-I0.9"

(B) Clk_2p.dat

/I

t .

ii

(

.

Sus 0.980us 0.990US l.OOOus l.OlOus 1.020USV(M4:d) o V(M14:d)

TimeDate : November 07, 1997 Page 1 Time : 09:41:25

Figure 3.8: The Magnified Spice Output of the Two-Phase Non-Overlapping Clock

26

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C. CONTINUOUS/DISCRETE

Since switched capacitor networks use sampled-data techniques similar to digital filter

applications, the z-transform is the appropriate analysis tool. When applying the z-domain

analysis to a continuous system, the transformation must be such that it maintains the

s-domain equivalency. Ifwe consider a model of a continuous-time filter with a transfer

function Ha(sa), the system response is then determined by the following system of first-order

differential equations

dx (t) / \-£l = gi (t), i=l,2,...,N. (Eq.3.7)

where x, are the state variables of the filter. The g(t) terms are the linear functions of the state

variables x,(t) and the input signal. Using the Laplace transformation, we obtain from (Eq. 3.7)

SaXi(Sa) = G,(Sa), i =1, 2, .., N. (Eq. 3.8)

where xi(t) = for t < and an analog model is indicated by using the subscript (a) [9].

Equations of a sampled-data system, which can realize the same continuous-time filter

previously mentioned, are related to each other by a first-order difference equation. The

difference equation can be found by integrating (Eq. 3.8) and using (n-l)T and nT as the limits

of integration. The integration yields

Cwa dt = X'

{nT)~ X'

{nT ~ T)=Z-w 8 >^

>

i=1> 2

>-' N

- &* 3 -9)

The approximation of the integral may be accomplished using either Euler or

trapezoidal formulas. In general, the trapezoidal formulas are more accurate. This method can

be used if the area under the curve for \n — \)T < t < nT is approximately that of a trapezoid.

From this approximation, (Eq. 3.9) becomes

27

Page 43: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

rr

g|.(^=^b r.(nT-r)+^.(nr)].

J(,n-l)T 7(Eq. 3.10)

Therefore, from (Eq. 3.9) and (Eq. 3.10), the following equation holds:

^(nr)-^(nr-r)=-^(nr-r)+g,.(nr)].

A graphical representation of the trapezoidal method is illustrated in Figure 3.

^k,(nT-T)+ g,(nT)]

Figure 3.9: Trapezoidal Integration Technique

Upon application of the z-transformation, (Eq. 3.11) becomes

l

Xt(z) = GXz)

(Eq.3.11)

(Eq. 3.12)T z + l

By using the trapezoidal integration technique (the Bilinear Transform), designers can show a

relationship between the variable s in the s-domain and the variable z in the z-domain. In

particular,

2 z-\s„ = (Eq. 3.13)

T z + \

There are two requirements for the transformation method. The first requirement is to

map stable s-domain functions into stable z-domain functions. The second requires mapping

the jco — axis in the s-plane to the unit circle in the z-domain. The first of these requirements

28

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ensures the network stability. The second of these requirements will ensure the preservation of

gain response. A designer can test the ability of the transformation techniques to meet the

requirements by setting s = —<7 + JCO and analyzing z for different stable values of s.

With s = jC0a ,

1 + JCOaT/

l-JO>a T/= 1 (Eq. 3.14)

Stable s-plane poles are mapped into stable z-domain poles by using the above bilinear

transformation method. This same method also maps the s-plane JO) — axis to the unit circle

in the z-plane. Figure 3.10 shows the results of the bilinear transformation. This technique is

considered to be satisfactory for performing the mapping function. The bilinear transformation

technique is a preferred choice in switched capacitor network applications [9].

F(oo)t

Dx

-ooH

G(-oo)

S-Plane

A Re

Figure 3.10: Bilinear Transformation Results

29

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D. BILINEAR TRANSFORMATION SIDE EFFECTS

The transformation from the s-domain to the z-domain has some drawbacks. Even

though the mapping of s-plane poles to z-plane poles meet the aforementioned requirements,

some imperfections or side effects must be discussed. By solving (Eq. 3.15) for s,

2 z-15. = T~I7' (Eq.3.15)

T z + 1

• T/substituting e

j0)for z and dividing both the numerator and denominator by 1e ' 2

, we

obtain

co T coT-i- = tan— (Eq.3.16)

Further, solving (Eq. 3.16) for CO , we get

2 ScoT'co = — tan"

1 -s- (Eq.3.17)

The difference between a given frequency in either network, analog or switched capacitor, is

described in (Eq. 3.17). The major drawback, commonly called warping, comes from the

transformation of a straight line from the s-domain to the unit circle in the z-domain. The

designer needs to minimize potential warping by maintaining a clock frequency at least ten

times greater than that of the analog signal frequency [10].

E. THE BILINEAR SWITCHED CAPACITOR RESISTOR

This section covers the development of the floating bilinear switched capacitor resistor.

This type of resistor is used in the implementation of the GIC filter. The switched capacitor

network depicted in Figure 3.1 1 will be studied using nodal analysis. The 'e' in the Figure

30

Page 46: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

denotes 'even phase' while 'o' denotes 'odd phase'. As illustrated in Figure 3.11, two separate

nodal equations can be generated: one for when the 'o' switches are closed and one for when

+

- o-

<?^o-*-?^

kP^o-J-cK'

R +

-o -

Figure 3.11: Floating Bilinear Resistor

the 'e' switches are closed. The clock period shown in Figure 3.7a is denoted by T , where the

period T =y~ . The sampling rate is kT where Aq(kT) represents the instantaneous charge at

either node for the even and odd sampling periods.

For even kT times:

Aq; (kT) = Cv\ (kT)- Cv° [(k - \)T}- Cv\ (kT)- Cv° [(k - \)r]

Aq\ (kT) = Cv\ (kT)- Cv°2[(k - l)r]- Cv{ (kT)- Cv° [(k - l)r]

For odd kT times:

Aq° (kT) = Cv° (kT)- Cv{ [(k - lfi]- Cv° (kT)- Cve

2[(k - \)r]

Aq° (kT) = Cv°2(kT)-Cv e

2[(k - l)r]- Cv,° (kT)- Cv{ [(k - l)r]

(Eq. 3.18)

(Eq.3.19)

(Eq. 3.20)

(Eq. 3.21)

31

Page 47: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

From the z-transform, where Z[u(kT)]= U(z) and Z[u[(k - l)r]]= z' 2U(z), the

nodal charge equations can be found. With Q=CV, the charge equations for the floating

bilinear switched capacitor resistor of Figure 3.11 are shown to be as follows:

AQ;(z)=CVl

e

(z)+ Cz~i/2

Vl°(z)-(cV'(z)+ Cz~y2V2°(z)) (Eq. 3.22)

A<2,° (z) = CVX

°(z)+ Cz~YlV

x

e

(z)- (CV° (z)+ Cz~YlV e

2 (zj) (Eq. 3.23)

&Q e

2 {z)= CV2

e(z)+Cz~y%°(z)-(cV

l

e

{z)+Cz~y2V°{z)\ (Eq. 3.24)

Ae|(z)=CV/(z)+Cz"%(z)-fcyi''(z)+Cz"%(z)l (Eq. 3.25)

The above equations can be simplified by adding the two equations governing each node.

AG, (z) = cf 1 + z~^V (z)- cfl + z~Yl V2 (z) (Eq. 3.26)

A<22 (z)=C^l + z"

Xy2

(z)-C^l + z^yi fe) (Eq.3.27)

Reducing (Eq. 3.26) and (Eq. 3.27), we get

AG, (z)= ERft (z))- raft (z)), (Eq. 3.28)

Afi2 (z)= raft2 (z))-raft (z)). (Eq. 3.29)

Combining the above equations, we obtain

AG1-AG2

= [(raft(z))-raft(z)))-(raft(z))-raft(z)))] (Eq.3.30)

AG = raAV, - YRAV2

(Eq. 3.31)

Given that z = e^ for a half clock cycle, (Eq. 3.32) is obtained:

YR = c(\ + z~y2

) (Eq.3.32)

32

Page 48: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

/On the other hand, given z = e for a full clock cycle:

YR = c(l + z~}

) (Eq. 3.33)

Before finishing the nodal analysis on the floating bilinear resistor, we.must first find

the element transformations for each component The following element transformations can

be found in Ref. [10, 11]. It can be shown that due to the sampling the switch capacitor

networks are time dependent. Studying the current and voltage relationship across a resistor,

capacitor and inductor the following bilinear transformation equivalences can be easily derived.

Capacitor Resistor Inductor

Laplace

DomainC G/

/

s

Yhs 2

Bilinear

TransformationC(l + z-) Gz{\ + z~

l

)

2 4L(l-z~l

)

Table 3.1: Z-domain Scaled Admittances (from Ref. [11])

Now using the bilinear resistor equation from Table 3.1,Gt(\ + z~

1

)-»V\

, and setting it

equal to the admittance of a resistor [11], the following simplification can occur. Equation 3.35

shows that a desired admittance can be achieved with appropriate clock frequencies.

For half a clock cycle:

Grjl + z'1

)c(i + .-)= (Eq. 3.34)

where

2CG =—

T(Eq. 3.35)

33

Page 49: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

and for a full clock cycle:

1(Eq. 3.36)

The GIC or switched capacitor filter network can be realized best by reducing the warping

effects and then choosing a capacitor to fit your circuit.

F. SPICE SIMULATION OF THE BILINEAR SWITCHED CAPACITORRESISTOR

Two transistors biased on and off with the non-overlapping clock signals Oj and <J>2

will realize the bilinear resistance for a GIC filter. The input signals in_even and in_odd are(f) x

m_even

in_odd

VSSi

P27l=2e-6w=3e-6

OfJ

N22

w=3e-6l=2e-6out

tt=im=2e-6w=3e-6 w= :

in

W=3e-6 „_l=2e-6i P26

ru.

.-„ |: =2e-6-7-M25132 w=3e-6

2e-63e-6

,-pj25

1 P28

l=2e-6W=3e-6

^Eir

VDD!

l=2e-6W=3e-6 t N24

£

out

Figure 3.12: Bilinear Switched Capacitor Resistor

34

Page 50: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

and2

respectively. The Spice simulation was initiated with the two phase non-overlapping

clock operating at 100 kHz. A lnf switched capacitor is used to realize the resistor. The value

ofR implemented is

R =

KACj

= // = AOOkHz _ 2500Q

.

(Eq. 3.37)AC 4(ln/

)

*4 ;

For the given circuit considered, the resistance network yields a voltage divider that will

theoretically scale the input by one half. With an input sine wave of lOOmV, it can be

concluded that a 50mV output is expected. The Spice simulation schematic is shown in Figure

3.13, and the simulation output results are shown in Figure 3.14. The output is indeed one half

the input, thus validating (Eq. 3.37). An additional simulation was completed with the

following changes: the clock frequency is increased to 200 kHz and the switched capacitance is

decreased to 0.5nf. Again the output shows a fifty-percent reduction in the input signal at the

(see Figure 3.15) output. The Spice netlist and output files for these simulations are listed in

Appendix B. [8]

The next Chapter introduces the operational amplifier and why we chose the

Silvernagle operational amplifier for this research.

35

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a:oh-co

LUa:

en<LU

CO

i

oooo2CLCL<a:LU>o

I

zozLUCO<XCL

O

-1

i_r .iij

6 8 i-fc

^w-—

i

U.3ri

1^

£ 2

4 J~t 1 I

^Ir^F

«T T9= 8 5

o

ir

Ji

~Lir

9

iIFC"

£l*-.

l\

S:-0-

FHH-ifPlffi

^n .IP7

i sTli «

•T!

iir ifH

HJ^L-JI

H

Ji

t^9 x4^

Figure 3.13: Spice Simulation of the Bilinear Switched Capacitor Resistor

36

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Date/Time run: 02/16/98 12:4C:\Mickey\thes19\Thes1s Simulations\Topology\SW_Cap_3b. sch

Temperature: 27.0

ate: February 16, 1998 Page 1 Time: 12:42:08

Figure 3.14: Spice Simulation Output of the Bilinear Switched Capacitor Resistor with

fc =100kHzandCR =lnf

* C:\Mickey\thesis\Thesis Siraulations\Topology\SW_Cap_3-schData/Tima run: 02/16/98 11:59:50 Temperature: 27.0

2us<- V(R5:2) o V(V10:»)

(A) SW_Cap_3.dat

Date: February 16. 1998 Page 1 Time: 12:02:03

Figure 3.15: Spice Simulation Output of the Bilinear Switched Capacitor Resistor with

fc = 200 kHz and Cr = 0.5 nf

37

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38

Page 54: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

IV. THE OPERATIONAL AMPLIFIER

A. INTRODUCTION

In 1 965, Fairchild Semiconductor introduced the JJA109 , the first widely used

monolithic OP AMP. Although highly successful, this first generation OP AMP had many

disadvantages. This led to the development of a more improved OP AMP known as the

/L4741 in 1970. Because it is inexpensive and easy to use, the /JA741 has been widely used in

numerous applications. Many other 741 -derived designs have appeared from various

manufacturers. Inevitably, general purpose OP AMPs were redesigned to optimize or add

certain features. Special function ICs that contain more than a single OP AMP were developed

to perform complex functions such as a flash AD converter. One should expect to see a

continued rapid development of more and more highly complex integrated circuits on a single

microchip. These chips will continue to combine OP AMPs with digital circuitry. In fact, with

improved Very Large-Scale Integrated (VLSI) technology, it is inevitable that entire systems

will be fabricated on a single chip. [5]

B. EXAMINING THE OPERATIONAL AMPLIFIER

Real OP AMPs depart from the ideal in two important ways: limitations on operating

frequency (bandwidth) and on output voltage swing (usually closely related to the voltage

supplied). The following nine subsections define terms associated with OP AMP

characterization.

39

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1. Input Bias Current

lB2

LB1

Figure 4.1: Circuit Symbol For The OP AMP

Ideally the input bias currents (/ Bi ) and (i B2 ) should be zero (referring to Figure 4.1),

but in real-world applications the OP AMP requires small dc currents for operation. Typical

values are 10 to 100 nA for bipolar input devices, and less than 0.001 pA for MOSFET input

devices. The average value I B is defined as the input bias current.

j _ J fil~*~ * B2

B ~~2

(Eq.4.1)

The difference between the two input bias currents is called input offset current and is defined

as

* os ~ V B\ * B2\ (Eq. 4.2)

For example, for the 741 OP AMP, the input bias current is on the order of 40 nA and the

input offset current is on the order of 5 nA.

2. Input Offset Voltage

Given that there is no differential voltage between the inverting and non-inverting

inputs of the OP AMP, ideally there would be no output voltage. However, OP AMPs

generally require several mV of differential input to zero out the output. This nulling input

signal is defined as input offset voltage, vos

. It ranges from 1 to 5 mV for bipolar input devices

and 1 to 20 mV for FET devices.

40

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3. Common Mode Rejection Ratio (CMRR)

A common-mode signal is a signal common to both inputs of the OP AMP

simultaneously. This can be expressed by connecting both inputs together as shown in Figure

4.2 and supplying an input signal vjn

. The CMRR is evaluated from

Figure 4.2: CMRR Circuit

CMRR = 20 log (Eq. 4.3)

where A is the differential gain of the open-loop OP AMP and Acm is the ratio y . The/ in

CMRR is a measure of the ability of an operational amplifier to reject signals, such as noise,

present simultaneously at both inputs.

4. Input Impedance

The ratio of input voltage to input current is called the input impedance. For an ideal

amplifier, it should be infinite, but typically it ranges from 100 kQ to 2 MQ for the 741 OP

AMP and essentially infinite for CMOS OP AMPs.

41

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5. Output Impedance

Output impedance is the ratio of open-circuit output voltage to short circuit output

current. For an ideal amplifier, it should be zero, but typically it ranges from 40 to 100 Q. for

bipolar OP AMPs. For a real MOS OP AMP output impedance is usually resistive and on the

orderofl00to5,000Q.

6. Frequency Response

The frequency response characteristics of an OP AMP is a vital operating parameter.

Because of stray parasitic capacitance, the open-loop transfer function of an OP AMP has

additional poles. For the 741 OP AMP, these poles are typically at 2-3 MHz and 8 MHz. A

741 OP AMP rolls off at -20-dB/decade (typical for internally compensated) with a

bandwidth of 1 MHz. This effect can be described in terms of the Unity Gain Bandwidth,

which is defined as being the frequency at which the frequency response magnitude is equal to

unity. Typical values for MOS OP AMPs are in the range of 1-10 MHz. Measuring the Unity

Gain Bandwidth can be achieved by connecting the OP AMP in the voltage-follower

configuration.

7. Slew Rate

(dv\Slew rate is the rate of change of the output voltage with respect to time

kdt

In

particular, the output is measured following the application of a large input signal (a prefect

step input function). Typical values are on the order of a few /.. For MOS OP AMPS, slew

rates of 1 -20 "/.. can be obtained./lis

42

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8. Finite DC Gain

For practical OP AMPS, dc voltage gain is finite. Actual values for low frequency and

small signals range from an absolute value of 100 to 106

.

Gain(dB) = 20 log-*- (Eq. 4.4)

9. Finite Linear Range

The linear relationship between the input and output voltages are only valid for a finite

range. This range can be equal to a value just below the dc power supplied to the OP AMP

shown in Figure 4.3. For example, the range for a flA74\ is around 12 V for the positive

lB2

LB1

+15V

-r -15V

Figure 4.3: OP AMP Connected To Dc Power Supply

supply and -11 V for the negative supply. This value is not constant for all OP AMPs and each

type of OP AMP has a different linear range. Finite linear range is the maximum output

voltage without clipping.

C. METAL OXIDE SEMICONDUCTOR (MOS) OPERATIONALAMPLIFIER

MOS OP AMPs consist of a number of metal-oxide-semiconductor field effect

transistors (MOSFET). Upon superimposing several layers of conducting, insulating and

43

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transistor forming material together, semiconductor fabricators can realize electronic

components such as OP AMPs. These OP AMPs have virtually no resistors or other

components with the exception of the MOSFETs. This technology is increasing in popularity

because MOSFET elements permit a much greater complexity and take up less chip space

(chip real estate). This facilitates more complex circuitry, smaller gate sizes, and faster speeds in

the same amount of area. The function of the MOSFET differs from that of a PNP transistor

because Bipolar Junction Transistors (BJT) are current devices and MOSFETs are voltage-

controlled devices. The MOSFET is turned on with an applied electric field created by the gate

voltage. The MOS transistor is turned on and off by the gate controlling the passage of current

between the source and the drain. This process will be discussed in-depth in Chapter VI.

D. TESTING THE OPERATIONAL AMPLIFIER

Silvernagle initially developed the operational amplifier considered in this thesis.

However, the layout in Cadence was completed without the aid of Silvernagle's OP AMP

layout. The schematic of the OP AMP is shown in Figure 4.4, and the VLSI layout is shown in

Appendix D. Research efforts regarding the Silvernagle OP AMP can be found in Ref.[12].

H r<Mi=i0u

"6

N0w=10u

l= 460u

H" w =27u

I

—' 1= 10u

Nft

*=60l t _Jf L = 60u'= '0U

' t]\m • * IE i'"' "

€ma

w=66w=66uI=l0d=10u

II

ff

HS

Kn

ew=10ul=176u

H5

LLf^*H(

fJ5"

71u

» • « »

e«f=164u= 10u

H5

N6w=50ul=9u

Figure 4.4: Schematic View OfThe Silvernagle Operational Amplifier

44

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An ideal OP AMP (Figure 4.5) may be modeled as a voltage-controlled voltage source

with an infinite voltage gain. The input resistance is considered to be infinite and the output

Figure 4.5: Ideal OP AMP

resistance is considered to be zero. Unfortunately, Spice does not allow infinite values, so the

infinite gain voltage source can not be modeled as such. A designer must compromise and use

a finite voltage gain around 10 yd . When these constraints are used on the OP AMP, it can

no longer be called ideal, but rather pseudo-ideal [8].

The simulation schematic in Spice is shown in Figure 4.6. This circuit was investigated

by applying a 0.1 mV input sine wave at 100 Hz. This input signal was supplied to the positive

input terminal with the negative input terminal grounded. It is anticipated that the OP AMP

45

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Figure 4.6: Silvernagle OP AMP Simulation In Spice

46

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will amplify the input by a factor of at least 1000 times. Results of this investigation are

documented in Figure 4.7.. Once it was determined the circuit was operating correcdy it was

then tested for slew rate and Gain-Band-Width Product (GBWP) [8].

Date/Time run: 02/07/97 08:45:03• C:\MSIM63A\OPAMP\OPAMPl.SCH

Temperature : 27.0

(A) C:\MSIM63A\OPAMP\OPAMPl . DAT

TimeDate: February 07, 1997 Page 1 Time: 08:47:17

Figure 4.7: Spice Output Signal From The Silvernagle OP AMP

A cause of non-linear distortion is slew rate. A designer can find the slew-rate by

applying a progressively larger step input into the OP AMP, with the OP AMP in a unity-gain

follower configuration, as shown in Figure 4.8 where /?, = °° and R2= . The resulting

output should show a linear slope when compared to the input step. The results should closely

mimic the plots illustrated in Figure 4.9.

47

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1

Figure 4.8: Non-Inverting Configuration

The following derivation shows mathematically how a step input can uncover slew-rate in an

OP AMP [5]. The amplifier's closed-loop transfer function may be expressed by

i+R

>

*i(Eq.4.5)

+

(i+\

where (Eq. 4.5) is a non-inverting amplifier configuration. Upon setting 1^=0 and R,= <*= , the

unity gain follower circuit is obtained and the above equation reduces to

V (s) 1

v,M,

(Eq. 4.6)

+CO.

The output response, given a step input, is given by the following equation.

v,W=vi-«'/r(Eq. 4.7)

With T = y , Figure 4.9 illustrates the anticipated results.

48

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- t

(a)

tV

-*- t

(b)

tV

I - t

(c)

Figure 4.9: Slew Rate With Step Input A) Step Input B) Output With V;Small

C) Output With V; Large

Slew-rate limiting caused from sinusoidal inputs is also a problem for OP AMPs.

Using the unity-gain follower configuration from before and applying a sinusoidal input given

by

Vj = Vtsin cot

,

(Eq. 4.8)

we obtain the derivative of the input signal as

dvj

dt= coVcoscot (Eq. 4.9)

When the maximum amplitude of the derivative of the input signal, COVi

, exceeds the OP

AMPs slew-rate it will produce a distortion in the output as shown in Figure 4.10.

49

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Output signal

Slew-rate limited

t

Figure 4.10: Slew Rate With Sinusoidal Input

Internal amplifier saturation effects are one cause of slew-rate limiting, which will

ultimately determine the high-frequency operation of the OP AMP. The slew-rate test was

performed in Spice with the circuit schematic illustrated in Figure 4.1 1. The observed slew rate

was compared for several OP AMPs and the results are included in Table 4.1. [5, 13]

50

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>«N lO

i

>1

1

1

1 ! ,1

1

1 1-1 , 'N 1

J CO_ .Q ^—> <2 >10 o

4

CLco

i o ^ 3

<.

C-

J l± 5-1 :ino i r»

9 cd OCO J 1 zo

OCOoo

1

CO —ia *

'

pH

t

s r*

1

:r~ a 1 j:i~o> —

|

CL ° —i

— °O co a »-

z o a

o;> z.O CO

oo

CMUl

a<

Jji

m» i J

5 ST"Cvj

az C3

az

U-coo

CO UJ (0O z2

os

a aoI]:i

CO

o2

<oO

zCO

o

ID —a

21 .

T ^'

L/

'

11

aCOn0.

i

•i 1

/

l:

i

l:

i

i

_1 I!""

_ [i [1T- I <NO ! a CN CO

<-T—

.CO a

S " » O9? o ZCO £i 5

>CO3

COo5O \ 03

32(0

o

1.

ii

Figure 4.11: Spice Unity-Gain Simulation

51

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Type ofTest OP AMP Results

Slew Rate

Rising Edge LF411ACN 12.81V/usec

Silvernagle 3.85V/usec

10101 BPC (741) 1 .26V/usec

Table 4.1: Test Results For Slew Rate Lirniting

The next simulation performed with Spice was the gain band-width-product test. The

simulation in Spice was configured as detailed in Figure 4.6 with an input sinusoid of .lmV at

100 Hz. Using the AC sweep function from 10 Hz to 1 MHz with 100 step size, the gain

band-width-product was then plotted using the add trace feature and with the gain =

dBVV,

The gain band-width-product of the Silvernagle OP AMP is shown in Figure

4.12. The results from testing the Silvernagle and other OP AMPs are listed in Table 4.2. The

Silvernagle OP AMP compared favorably with the other commercial OP AMPs. [8]

It was determined as the result of testing that the Silvernagle OP AMP outperformed

the 741 OP AMP in both slew rate and unity gain-band-width while complexity remained the

same. Therefore, the Silvernagle OP AMP was chosen as a suitable choice for integration. The

next chapter details the design of the programmable GIC filter.

52

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* C:\Mickey\thesis\Thesis Simulations \OpAmp\Opampl . schDate/Time run: 02/19/98 14:10:53 Temperature: 27.0

Date: February 19, 1996 Page 1 Time: 14:19:56

Figure 4.12: Silvernagle Opamp Gain Bandwidth Product

Type of Test OPAMPGain Band-width Product LF411ACN 7.15 MHz

Silvernagle 2.13MHz, fM =41\.12Hz

10101 BPC 0.9 MHz

Table 4.2: Test Results For Gain Bandwidth Product

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54

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V. DESIGNING THE GENERALIZED IMMITTANCECONVERTER FILTER

A. INTRODUCTION

This research project has two goals. The first goal is to conduct simulations and

build a programmable switched capacitor GIC filter on a wire-wrap board for testing. The

second goal is to apply the knowledge gained from testing to enable integration of the filter

onto a chip.

B. PROGRAMMABILITY

One of the many advantages of switched capacitor filters is the ease with which they

can be programmed to perform different functions. However, in order to completely

understand the advantage offered by switched capacitor filters, the following several

concepts must first be examined. The center frequency and quality factor for the GIC filter

are given by (Eq. 5.1) and (Eq. 5.2):

">„=§ (Eq-5.1)

G,=7T (Eq.5.2)

where G is the bilinear switched capacitor admittance, G is the quality capacitor

admittance, and C is referred to as the frequency capacitor. These quantities are interrelated

by

r 4C 4Cr

ACG

q =~f-(Eq.5.4)

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4Cr

^n = ~p CT

QP

4CrT

»,.=**,=CT

U0.6366C

r fr*

J

(Eq. 5.5)

(Eq. 5.6)

(Eq. 5.7)

(Eq. 5.8)

By adjusting the ratio of the three separate capacitances, C , Crand C , the designer has

the ability to adjust the quality factor \Qp ) of the circuit, the corner frequency [f ) and

even the filter type.

C. PROGRAMMABLE FILTER TOPOLOGY

The intended design must be capable of realizing the four filter types: high-pass, low-

pass, band-pass and notch. A proposed control scheme for this design uses a two-bit signal,

shown in Figure 5.1. The programmable GIC control circuits used an eight-switch DIP

package for switches S, through S 8. The desired filter type is set by the particular switch

combination.

To realize the four topologies of the GIC filter shown in Figure 5.2, the admittances

must be replaced with the discrete values found in Table 5.1. These components consist of

admittance G, admittance G and capacitor admittance C. The digital logic controls the

placement of the components through the use of digital Quad Bilateral Switches

(CD4066BC). The components that make up the digital logic are NAND gates

(CD4011BCN) and inverters (CD4049CN).

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^=D>

S6, S10

S16

>o— S15S2.S18

>o— S1,S17S3, S12, S14S4,S5,S8,S11,S13

£>>— S7, S9

Figure 5.1: Digital Circuit Topology

Figure 5.2: Generalized Immittance Converter

Filter

Type

Yl Y2 Y3 Y4 Y5 Y6 Y7 Y8

Lowpass G C C+G/QP G G O GHighpass G G C G G C G/QpBandpass G G C G G G/QP CNotch G G C G G C G/Qp

Table 5.1: GIC Filter Admittance Values

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Figure 5.3 shows that there are 18 switches to control [11, 14]. These 18 digital

switches can be configured in different arrangements to realize the four-desired filter types.

Given the proper digital logic, the four different filter topologies are obtainable through only

2-bits of information. The active switch positions for each topology are shown in Table 5.2.

The data sheets for all of these components are listed in Appendix A.

s, s2Topology Active Switc ties

Notch Filter S2 S3 S6 S10 S12 S14 S15 S18

1 Fiigh-Pass Filter SI S3 S6 S10 S12 S14 S16 S17

1 Band-Pass Filter SI S3 S7 S9 S12 S14 S16 S17

1 1 Low-Pass Filter S2 S4 S5 S8 Sll S13 S16 S18

Table 5.2: Truth Table For Programmable Topology

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1 —o^o , &^S2

Vin

>-

S9 iS10

Figure 5.3: GIC Filter With Programmable Topology

D. PROGRAMMABLE POLE FREQUENCY TOPOLOGY

Programming the filter pole frequency was accomplished by using the circuit shown

in Figure 5.4. Using a three-bit control signal, implemented with DIP switches S6 , S7 , and S8 ,

the designer is able to control six digital switches that provide up to eight separate pole

frequencies. As demonstrated in Figure 5.5 each switch, S6 , S7 , and S8 , activates two digital

switches simultaneously. The DIP switches direcdy control a bank of parallel connected

capacitors. The value Cfrepresents a unit capacitance of 3000 pF where 2C

fand 4C

f

represent 6000 pF and 12000 pF, respectively. The digital switches are realized through the

59

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of Figure 5.6 documents the entire circuit. The data sheets for all components are in

Appendix D.

S21

S20

S19

C,

Figure 5.4: Capacitor Network For Pole Frequency

s6 >s7 >s« >

*- S24/S21

* S23/S20

S22/S19

Figure 5.5: Digital Logic Circuit for Pole Frequency

The DIP switch position and corresponding pole frequency are shown in Table 5.2.

Because of the warping effect described in chapter three the clock frequency should be

approximately 1 times the pole corner frequency, but due to limitations encountered with

the digital switches on the wire-wrap board 1 00 kHz was the highest clock frequency which

provided adequate results. The results anticipated from the fabricated semiconductor chip

should allow the clock frequency to be > 1 MHz. [11, 14]

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s6s7 s8

Active Switches Capacitance Frequency

None C = 3nF 90.00 kHz

1 S19,S22 2C= 6nF 51.60 kHz1 S20, S23 3C= 9nF 35.40 kHz1 1 S19,S20,S22,S23 4C = 12nF 26.55 kHz

1 S21, S24 5C = 15nF 22.80 kHz

1 1 S19, S21, S22, S24 6C = 18nF 18.45 kHz

1 1 S20, S21, S23, S24 7C = 21nF 15.60 kHz

1 1 1 SI 9, S20, S21, S22, S23, S24 8C = 24nF 13.95 kHz

Table 5.3: Frequency vs. Capacitance

1

SI

G

( i—O^O—f —•— ©*>

S13

Ks3C1C'1T1

. 4 rt^< o i>

S5

S18

*r&A T

u*.S2

Vin >

S7

S6 -±r

S9

S12

S10

S17

Figure 5.6: GIC Filter With Programmable Topology And Pole Frequency

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E. PROGRAMMABLE POLE QUALITY FACTOR TOPOLOGY

The pole quality factor is programmed by a three-bit control signal from DIP

switches S3, S4 , and S5. This allows the selection of eight different pole quality factors over

the range of 0.8 < Qp< 5.0 . The pole quality factor circuit is realized through the use of

five unit capacitors (C Jand a network of switches and digital control logic (shown in

Figure 5.7). A decision was made to stay with the stated small change in pole

S43

<I S42

C, C, iJV ' o

I

Figure 5.7: Network For Quality Factor

quality factor, Q , to minimize the amount of digital control logic as shown in Figure 5.8. It

should be noted that by adding levels of selectivity to the circuit, the maximum pole quality

factor for the circuit is not increased.

62

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s3

s4

s5

>>

>4>•—

- S48

> S51

- S49

- S45

+» S46

£*> - S50

PvSc^^ 54'

Figure 5.8: Digital Logic Circuit For Quality Factor

TheQ s3 s4 s5

S45 S46 S47 S48 S49 S50 S51

0.8 1 1 1 1 1 1

1 1 1 1

2 1 1 X X 1

3 1 1 1 1 1 1

4 1 1 1 1 X5 1 1 1

Table 5.4: Quality Factor

The control signals are selected to provide a simplified digital logic circuit. Table 5.4

describes the state of the switches for each control signal and the resulting pole quality

factor. Figure 5.9 shows a programmable GIC filter with digital switches and components

that will realize the filter type, center or cutoff frequency and the quality factor. A complete

and tested Programmable General Immittance Converter filter is shown in Appendix A.

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S15 S31 -L- S3

3*o. 12^ J?<Si S33 S34

S35 -L- S36

S29 S30

S3 2

S25 S26

S27 -L S28

S37 S38

S39—I— S40

S8

Sll

<£ S41 3^o_ HHh S43

S44

Figure 5.9: GIC Filter With Programmable Topology, Pole Frequency AndQuality Factor

F. CONSTRUCTING AND TESTING OF THE PROGRAMMABLEGIC CIRCUIT

The components were selected so that the circuit of Figure 5.9 could realize a

second-order GIC filter with the following programmability:

• Filter Topology

• Pole Frequency

• Pole Quality Factor

As seen in the circuit layout of Appendix A, the OP AMPS used are LF41 1ACN and the

capacitors for the bilinear and variable bilinear resistors are 3 nF. The clock speed was set

for 100 kHz. Using a HP 3585B Spectrum Analyzer, two sets of output responses were

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generated. The first data set is compared at different frequency values where Q=5. The

second set of output responses is compared with the frequency constant (~8.8 kHz) and Q

is varied. The output graphs appear as anticipated and are recorded in Appendix A. The next

chapter covers the implementation of the GIC on a chip. [11, 14]

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66

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VI. VLSI LAYOUT

A. INTRODUCTION

The second goal of this research project was to integrate a programmable

Generalized Immittance Converter (GIC) filter into a semiconductor chip. The design

considerations of this chapter combine the GIC filter material discussed in Chapter II, the

switched capacitors techniques introduced in Chapter III, the operational amplifier details

presented in Chapter IV, the networks that achieve GIC programmability as detailed in

Chapter V, and the design limitations encountered in Very Large Scale Integration (VLSI).

B. SEMICONDUCTORS

Silicon (SI) in its pure state has a resistive property somewhat like an insulator and is

essential for the Metal Oxide Silicon (MOS) process. The reason for using SI is that it is

abundantly available and can be manufactured to a very high purity level. As shown in

Figure 6.1 an atom of pure silicon has a total of fourteen electrons, four of which are in the

outer valence shell. Pure silicon is formed by a process termed covalent bonding.

G>

.,•'"'""G>~~ \

/ 0"""

,-o-..., X \

'l4P+>

V14N

o,'"

-O'

I 9 9

j3 /

""

o~

Figure 6.1: Bohr concept of an Atom of Silicon

67

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The central silicon atom in Figure 6.2 is shown as sharing electrons from each of the

four neighboring silicon atoms. Each of the four neighboring atoms, in turn, is sharing one

of the electrons of the central atom's valence shell for bonding purposes. Thus, none of the

atoms exclusively have eight electrons in its valence shell but shares electrons with

neighboring atoms. The process of sharing electrons to fill the outer valence shell is termed

covalent bonding.

o ©. o\

// _

/ \

I

I

©'-- Si _ _ Si

i \

O Xs5 OFigure 6.2: Depiction of Covalent Bonding in Silicon Atoms

A valence electron in a neighboring atom can leave its covalent bond quite easily to

fill a hole. When the free electron leaves its bond, a hole is left behind. The hole has

effectively moved in the opposite direction. This process can continue, with the holes

moving to the right as electrons progress to the left. Thus, this mechanism does not involve

the movement of positive charge or holes only. The charge motion, or current, in pure

silicon is the sum of the free electron flow and the hole flow.

Pure intrinsic silicon has very low conductivity, and thus it is classified as an

insulator. The conductivity can be increased significantly, making the silicon a

semiconductor, by the addition of certain materials known as impurities or doping agents.

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The silicon is then called extrinsic, or a doped semiconductor. The added impurities are

either pentavalent (5 valence electrons) or trivalent atoms (3 valence electrons).

Phosphorus is a pentavalent material it has five electrons in its outer valence shell.

When a small percentage of phosphorus is added to pure silicon, the phosphorus atoms

displace some of the silicon atoms, forming the arrangement shown in Figure 6.3. Since only

Pentavalent atom

Extra Electron

Figure 6.3: N-Type Semiconductor

four of the five electrons are needed for covalent bonding, one electron is donated to the

crystalline structure. At room temperature, this fifth unbonded electron is easily detached

from its parent atom to become a free electron. The phosphorus impurity is called a donor

n-type impurity material. The atom itself is ionized, acquiring a bond positive charge that is

not free to move.

The next in the process involves the addition of aluminum, a trivalent impurity, to

silicon. Since there are only three electrons in the aluminum atom's valence shell, the

substitution of an aluminum atom for a silicon atom leaves an incomplete bond. This bond

is usually completed when a neighboring silicon atom donates an electron. The aluminum

atom thus acquires a bound negative charge, and a hole is left where the electron came from

as shown in Figure 6.4. Since the aluminum atom has created a hole that can accept

69

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electrons, aluminum is known as an acceptor impurity. The aluminum impurity has caused

the p-type silicon to have many more holes than free electrons.

Trivalent atom

Hole

Figure 6.4: P-Type Semiconductor

The majority carrier in the n-type material is the electron and holes are the majority

carrier for the p-type silicon. The n-type and p-type silicon materials have much greater

conductivity then that of pure silicon. [6]

C. METAL OXIDE SILICON TRANSISTORS

Layers of p-type silicon, n-type silicon, silicon dioxide (an insulator), polysilicon

(doped SI) and metal creates the MOS structure. A very thin smooth layered circular wafer

of p-type or n-type silicon forms the substrate (also known as bulk) structure. The substrate

of a wafer and polysilicon has the same crystal structure. As a result, polysilicon can be

grown in very thin smooth layers while still maintaining its structural integrity. Lacing

polysilicon with metal reduces its high resistivity to create a non-uniform polysilicon. The

non-uniform polysilicon is frequendy used as a conductor and is used to construct gates and

capacitor plates.

An N-type Metal Oxide Silicon (NMOS) transistor is illustrated in Figure 6.5. The

NMOS structure consists of a moderately doped p-type silicon substrate into which two

70

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Source

Conductor

Insulator

Figure 6.5: NMOS Transistor

heavily doped n+ regions, called the source and the drain, are diffused. Between these two

regions lies a narrow region of p-type substrate, called the channel, covered by a polysilicon

gate. A thin layer of silicon dioxide (Si02) insulates the channel from the gate. If a positive

voltage is applied between the source and the drain (V^ ), with the gate bias zero, no current

will flow (only in enhancement mode devices). But if sufficient positive voltage is applied to

the gate with respect to the source, current will flow from drain to source as shown in Figure

6.6.

71

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Source

R

D

Figure 6.6: Current Flow for an N-Channel Enhancement Mode Transistor

A p-type Metal Oxide Silicon (PMOS) transistor is fabricated on an n-type substrate

with p+ regions for the drain and source, and hole flow for current. A PMOS transistor

operates on the same principle as the NMOS except that the required voltages for vG5 and

vDS are negative and the threshold voltage vt

is negative. The PMOS transistor is illustrated

in Figure 6.7. A p-channel transistor will turn off when the gate is grounded, and a positive

voltage is applied to the source. A negative gate voltage draws holes into the region below

the gate, resulting in the channel changing from n-type to p-type. With this a conduction

path is created between the source and drain allowing current to flow [6].

As the name implies, Complementary Metal Oxide Silicon (CMOS) technology

employs MOS transistors of both polarities. Although CMOS circuits are somewhat more

difficult to fabricate than NMOS, the availability of complementary devices makes possible

many powerful circuit-design possibilities. A CMOS cross section is shown in Figure 6.8.

72

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Gate

SiO

Drain o /^\ Source

Conductor

Insulator

.N-doped semiconductor substrate.

Figure 6.7: PMOS Transistor

Gate Gate

DrainSource

Conductor

A ^ P-doped semiconductor substrate jf A

Thick Si02(isolation) $[Q

D.

N-doped semiconductor substrate

Figure 6.8: Cross Section of a CMOS Integrated Circuit

DESIGN LIMITATIONS

A parasitic circuit effect called latchup exists in CMOS technology. At a minimum

this type of effect would require a power down to reset the device, but the worst case would

result in the destruction of the chip as a result of shorting the power supply lines. In earlier

73

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manufacturing of CMOS devices, latch-up was a significant problem, but today it has been

almost eliminated by following a few basic rules that are summarized in this section.

The reason latchup occurs may be explained by reviewing the CMOS inverter

structure shown in Figure 6.9. The inverter is constructed with NMOS and PMOS

transistors and a parasitic circuit made up of a npn-transistor, a pnp-transistor, and two

resistors. Under certain conditions, the parasitic circuit looks and responds very similar to

that of a Silicon Controlled Rectifier (SCR). It possesses a voltage and current characteristics

that above a "critical voltage (known as the triggerpoint) the circuit snaps and draws a large current while

maintaining a low voltage across the terminals also know as the holding voltage" [7]. This is obviously a

short circuit. These bipolar and resistor devices are the unwanted byproducts of producing

MOSFETS [7].

Out in

'ss

P-substrate

-^AAA

NPNY

'DD

K/c

PNP

N-well

Figure 6.9: CMOS Inverter

The key to reducing the occurrence of latchup is the additional placement of

substrate contacts, which are contacts that connect the substrate (or bulk) to the appropriate

74

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supply source Vss or Vdd. Eliminating latch-up can be accomplished by designing in

accordance with Principles ofCMOS VLSI Design [7], as described below:

• Every well (either p- or n- substrate) must have a substrate contact (a contact is a

physical connection) of the appropriate supply source Vss or Vdd.

• Every substrate contact should be connected to metal directly to a supply pad.

• Place the substrate contacts as close as possible to the source connection of the

transistors. This reduces the value of Rsubstmte and Rweu (Rsubstate and Rweu are the

byproducts of producing MOSFETS). A very conservative rule would place one

substrate contact for every supply connection.

• A less conservative rule than the above places a substrate contact for every 5-10

transistors or every 25-lOO^i . This may be applied by grouping like transistors

with a single contact or using the physical measurement of the chip in microns.

• Lay out n- and p-transistors with packing (tightly arranged) of n-devices toward

Vss and packing of p-devices toward Vdd. Avoid structures that intertwine n-

and p-devices in checkerboard styles.

Another problem is I/O latchup. A way to combat this problem is to reduce the gain

of the parasitic transistors. This can be achieved through the use of guard rings. A p+ guard

ring is placed around a n+ source/drain, while n+ guard ring is placed around a p+

source/drain. As depicted in Figure 6.10 guard rings act as "dummy-collectors" that reduce the

gain of the parasitic transistors. These rings acting as collectors prevent minority carriers

from effecting their respective transistor base, but minority carriers can flow underneath the

75

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Guard Rings

Figure 6.10: a). n+ Guard Ring b). p+ Guard Ring

guard rings. However through the use of double guard rings, this effect can be eliminated.

This technique has the disadvantage of sacrificing real estate for internal structures.

The most common place for latchup to occur is in an I/O cell that produces a large

amount of current flow, such as an inverter with a heavy load. For this condition there are

two ways to remove latch-up possibilities. The first approach involves a redesign to reduce

the overall current flow and minimize parasitic effects. In the second approach, I/O latch-up

can be eliminated or reduced if the circuit is designed in accordance with Principles ofCMOS

VLSI Design [7], as described below:

• Physically separate the n- and p-driver transistors (i.e., with the bonding pad).

• Include p+ guard rings connected to Vss around n-transistors.

• Include n+ guard rings connected to Vdd around p-transistors.

• Source diffusion regions of the n-transistors should be placed so that they lie

along equipotential lines when current flows between Vss and the p-wells; that is,

source fingers should be perpendicular to the dominant direction of current flow

76

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rather than parallel to it. This reduces the possibility of latchup through the n-

transistor source due to an effect called "field aiding" (the effects of parallel

metal supply lines contributing a parasitic effect).

• Shorting n-transistor source regions to the substrate and the p-transistor source

regions to the n-well with metallization along their entire lengths will aid in

preventing either of the transistor junctions from becoming forward-biased and

hence reduces the contribution to latchup from these components.

• The spacing between the n-well n+ and the p-transistor source contact should be

kept to a minimum. This allows minority carriers near the parasitic pnp-transistor

emitter-base junction to be collected and reduces Rweu. The rules for the 1 fl

process (a process that the smallest transistor size can be 1 \X ) suggest one

contact for every 10 JJ, -50 JJ, (length).

• The separation between the substrate p+ and the n-transistor source contact

should be minimized. This results in reduced minority carrier concentration near

the npn-emitter-base junction. Similar spacing to those suggested above applies

for processes in the 1 [i range.

Following the above rules should eliminate all possible latchup effects in a CMOS design.

E. CADENCE DESIGN TOOLS

When creating a new design using the Cadence software, there are seven steps that

must be completed to ensure a working circuit prior to fabrication. These seven step are

listed below:

• Creating a new library

77

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• Creating a cell category

• Creating a new design using Composer

• Creating a symbol with Composer

• Simulating the design with Spectre

• Creating the layout with Virtuoso

• Simulating the layout with Spectre

Tutorials and user manuals are available to supplement the details of these individual steps

[15]. Various details on the use of Cadence in circuit design are also available in Ref. [7].

F. VLSI LAYOUT

The floor-plan and pad assignment for the two programmable GIC filters and two

OP AMPS are illustrated in Figure 6.11 while the VLSI layout for the 40 pin chip is shown

in Figure 6.12. The two programmable GIC filters that are arranged in Figure 6.12 show cell

#1 located at the top of the pad ring and cell #2 located at the bottom. The two OP AMP

cell is centered between the two programmable filters. The filters were broken down into

separate sections, to help the pictorial location of the separate cells.

The following list contains sections of the programmable GIC filter cell:

Two Phase Clock

Bilinear Switched Capacitor

Quality Logic

Frequency Logic

Topology Logic

Variable Bilateral #1

Variable Bilateral #2

Opamp #1

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• Opamp #2

The higher operating frequency cells and digital logic cells were located as far away from the

analog sections as possible. This arrangement helps to reduce any possibility of latch-up. The

final layout was submitted to MOSIS for fabrication. The layout for each cell and cell

components are located in Appendix B. The final chapter will discuss the conclusions and

recommendations found during this research effort.

79

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GIC Filter

Cell#l<

PADVdd

GND1 CLK1 INI Digital

VddDigital

VssOutl Dip

8Dip

3 DiPePADVdd

Dip,

Dip5

Dip,

Dip2

+ in

in

Dip7

Analog

Vss 2

Analog

Vdd 2

Two Phase

Clock

Bilinear Switched

Capacitors

Opamp #1

Opamp#2

Quality

Logic

Frequency

Logic

Topology

LogicVariable Bilateral #1 Variable Bilateral #2

Op AmpOpamp #3 GIC Filter

Cell #2*Cell Opamp #4

\

Two Phase

Clock

Bilinear Switched

Capacitors

Opamp #1

Opamp #2

Quality

Logic

Frequency

Logic

Topology

LogicVariable Bilateral #1 Variable Bilateral #2

Analog

Vddl

Analog

Vss 1

Dip?

Out 3

Out 4

Dip2

Dip,

Dip5

Dip4

PADGND DiPe Dip

3Dip

8Out 2

Digital

Vss

Digital

VddIN 2 CLK2 GND 2

PADGND

Figure 6.11: Floor Plan of a Two-Stage Programmable GIC Filter with Two OPAMPS

80

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Figure 6.12: VLSI layout of the Two-Stage Programmable GIC Filter with Two OPAMPS

81

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82

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VII. CONCLUSIONS AND RECOMMENDATIONS

A. CONCLUSIONS

The goals of this research were to design and implement a VLSI, digitally

programmable, two-stage, Generalized Immittance Converter Filter using the Cadence

design tool software package. This programmable filter product will be very beneficial in

applications involving signal processing, controls and communications systems. Once

fabricated, these semiconductor chips can be used for studying the effects of stray

capacitance on the integrated circuit design. The testing of the filters can add to the research

data and help further the use of bilinear-switched capacitors in integrated filter designs.

Testing these microchips can also demonstrate bandwidth limitations of an integrated

programmable GIC filter.

It was mathematically shown that a circuit built with resistors could be transformed

into a new circuit using switched capacitors. Also, through the use of digital logic, the

programmability of the GIC filter was realized. Once the circuit was constructed on a wire-

wrap board and tested, it re-enforced the programmability concept of the GIC filter.

Through the use of Spice simulations, Cadence simulations and then finally a working

programmable GIC filter on a wire-wrap board, viability of the design was proved. The final

proof of concept can be achieved once the filter is fabricated on a microchip and tested.

The Cadence design tool software package was found to have several advantages

over the older software package MAGIC; however, the learning curve was steep and

significant amount of time was required to learn to use it. Cadence is a complete design tool

software package. It has its own simulation software integrated into the Virtuoso Layout

Editor. Virtuoso provides for a hierarchical integrated circuit (IC) layout that can also

83

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provide a verification environment that supports all IC design techniques. After laying out

the design, Cadence can simulate the layout using the same file that was used on the

schematic. This is done with Spectre, the circuit simulator that uses direct methods to

simulate analog and digital circuits. The ability to simulate either schematic or layout in the

same software package is an excellent feature. It gives the designer the ability to compare the

layout to the schematic prior to fabrication.

B. RECOMMENDATIONS

The design and simulation using the Cadence software package of the stray

insensitive GIC circuit is the initial step in the development of an analog/digital circuit on a

microchip. Increasing the knowledge base for the Cadence software package through the use

of dedicated classroom instruction will gready benefit the research and development of the

GIC filter design. Adding one or two labs (Analog/digital simulations using Cadence

software) to an already long but outstanding course, EC4870, will gready enhance a

designer's ability to achieve fabrication success.

84

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APPENDIX A. PROGRAMMABLE GIC FILTER

A. PROGRAMMABLE GIC

1. Operational GIC

85

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2. Programmable Gic Circuit Board Layout

U13 U9 U14 U19 U12

U8 Resistor

Bank for

theQ

U15

Iso

Caj

Bai

ado

jaci

ik

n

or U2C

Resistor

Bank for

Limiting

Current

Ull

Variable Bilinear U7 U16 U21 U10

Capacitor Bank

U6 U17

1—

1

"1 Dips

I 1PROGRAMMABLE 1 1

1-8

U5

GICU4i_j Bilinear \m

Resistor

Bank

Ul, U2 - LF41 1ACN Operational Amplifiers U3, Ull - CD401 1 Quad Two Input NAND Gate

U4, U10, U21 - CD4049CN Hex Inverting Buffer U12 - CD4001BEX Quad Two Input Nor Gate

U5, U6, U7, U8, U9, U13, U14, U16, U16, U17, U18, U19, U20 - Quad Bilateral Switch

86

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Page 104: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

B. GIC OUTPUT GRAPHS WITH Q=5

1. High Pass Filter

REF 22. 5 dBm5 dB/DIV

MARKER 48 OBO. O HzRANGE 30.0 dBm 15.35 dBm

^-v

/• v

\v^ M

/'/ (000) 48000 Hz

(001) 26720 Hz(010) 18080 Hz(Oil) 13680 Hz(100) 11200 Hz(101) 9280 Hz(110) 7920 Hz(11 1)6960 Hz

III1 1 J

CENTER 40 OOO. O HzRBW 300 Hz VBW 1 KHz

SPAN BO OOO. O HzST 1.8 SEC

2. Low Pass Filter

REF 21. 5 dBm5 dB/DIV

MARKER 57 200. O HzRANGE 30.0 dBm 16.30 dBm

(000) 57200 Hz(001) 34320 Hz(010) 23920 Hz(011) 18080 Hz(100) 15120 Hz(101) 12480 Hz(110) 10640 Hz(11 1)9280 Hz

CENTER 40 OOO. O HzRBW 300 Hz VBW 1 KHz

SPAN 80 OOO. O H:

ST 1. 8 SEC

87

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3. Band Pass Filter

REF 6. 5 dBm2 dB/DIV

MARKER 48 080. HzRANGE 30. O dBm 3. 10 dBm

A<I \

lv\/\ 1

\\

(000) 48080 Hz -(001) 26560 Hz(010) 17680 Hz(Oil) 13360 Hz(100) 10800 Hz(101) 8960 Hz(110) 7680 Hz v(11 1)6720 Hz

IAAV

Ml/ ,

i

// \\CENTER 40 OOO. O Hz

RBW 300 Hz VBW 1 KH;SPAN 80 OOO. O Hz

ST 1.8 SEC

4. Notch Filter

REF 12. 5 dBm2 dB/DIV

MARKER 53 BOO. O HzRANGE 20. O dBm 3. lO dBm

<

4il« > « (000) 53440 Hz

(001) 31040 Hz

(010) 21440 Hz(011) 16160 Hz

(100) 13440 Hz

(101) 11200 Hz

(110) 9520 Hz

(111) 82400 Hz

CENTER 40 OOO. O HzRBW 300 Hz VBW 1 KH:

SPAN SO OOO. O HzST 1.8 SEC

88

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C. GIC OUTPUT GRAPHS WITH Q = 0.8 - 5

1. High Pass Filter

REF 16. O dBm2 dB/DIV

MARKER 8 736. 6 HzRANGE 25.0 dBm 14.86 dBm

START 100. HzRBW 100 Hz

l/*\|

/If L--CC1 -^

i

i

If /1 I \ ,—<=>—

,

"-•^SSSLJ^

(Oil) Q- 0.8

(010) Q = 1

(100) Q = 2

(lll)Q = 3

(001) Q = 4

(000) Q = 5

=====J. e

"

1

!

I

] |

VBW 300 H:

STOP 20 000. H:

ST 4. O SEC

2. Low Pass Filter

REF 19.0 dBm MARKER 8 875.9 Hz2 dB/DIV RANGE 15.0 dBm 18.44 dBm

1

1

1

^\\ \

|

j

(011)Q = 0.8

(010) Q=l(100)Q = 2

(111)Q = 3

(001)Q = 4

(000) = 5

— -

\^^

START 10O. O. HzRBW 100 Hz VBW 300 Hz

STOP 20 000. O HzST 4. O SEC

89

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3. Band Pass Filter

REF 5. O dBm2 dB/DIV

MARKER 8 4-97. 8 HzRANGE 20. dBm 2. 90 dBm

START 1O0. O HzRBW 100 Hz VBW 300 Hz

STOP 20 000. O H:ST 4. O SEC

4. Notch Filter

REF 8. 5 dBm2 dB/DIV

MARKER 9 811. 2 HzRANGE 20. O dBm -9. 78 dBm

(011)Q = 0.8

(010) Q=l(100) Q = 2

(111)Q = 3

(001)Q = 4

(000) Q = 5

START 100. O HzRBW 100 Hz VBW 300 Hz

STOP 20 000.

O

ST 4. SECHz

90

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D. COMPONENT DATA SHEETS

<* National SemiconductorFebruary 1 995

LF41 1 Low Offset, Low Drift

JFET Input Operational Amplifier

General DescriptionThese devices are low cost high speed. JFET input opera-

tional amplifiers with very low input onset voltage and guar-

anteed input onset voltage drift. They require low supply

current yet maintain a large gain bandwidth product and fast

slew rate. In addition, well matched high voltage JFET input

devices provide very low input bias and offset currents. The

LF411 is pin compatible with the standard LM741 allowing

designers to immediately upgrade the overall performance

of existing designs.

These amplifiers may be used in applications such as high

speed integrators, fast 0/A converters, sample and hold

circuits and many other circuits requiring low input offset

voltage and drift low input bias current high input imped-

ance, high slew rate and wide bandwidth.

FeaturesInternally trimmed offset voltage

Input offset voltage drift

Low input bias current

Low input noise current

Wide gain bandwidth

High slew rate

Low supply current

High input impedance

Low total harmonic distortion Av= 10,

RL =10k, Vo = 20 Vp-p. BW = 20Hz-iLow 1/f noise comer

Fast settling time to 0.01%

0.5 mV(max)

10 (iVrC(max)

50 pA

0.01 pA/Jfiz

3 MHz(min)

10V/fis(min)

1.8 mA10'2n

<0.02%I KHz

50 Hz

2 lis

o

O—

*

(ACD

oSa

-nmH5"

-ac«O"OCD"ifi>

o'3SL

>3•o

o

Typical Connection Ordering Information Connection Diagrams

LF411XY2

X indicates electrical grade

Y indicates temperature range

"M" for military

"C" for commercial

Z indicates package type

"H" or "N"

Metal Can Package

TUH/5855-l

Simplified Schematic

"ccO

* TVH/SJS5-S

Top View

Nota: Pin 4 eonnacttd to case

Order Number LF411ACHorLF411MH/883*

See NS Package Number H08

A

Duai-ln-Une Package

"EiO

8tfET imi«i namrt tt K

>i»SN«aon* Swtffl—wOBTM—

i

TUH/MS5-7

Top ViewOrder Number LF4 1 1 ACN,UF411CN or LF411MJ/M3'See NS Package Number

NOSE or J0SA

'Av*l«bie p«r JM38SI0/119O4

RRM30M1li/PlW«d»iU a.

91

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Absolute Maximum RatingsIf Military/Aerospace specified devices are required. H Package N Packageplease contact trie National Semiconductor Sales Power Dissipation

Office/Distributors for availability and specifications. (Notes 2 and 9) 670 mW 670 mw(NotoS) Tjtnax 150*C 11S*C

LF411A LF411 gj^ 162-C/W (Still Air) 12CTC/WSupply Voltage ±22V ±18V 65'C/W (400 LF/min

Ditferential Input Voltage ±38V ±30V Air Row)

Input Voltage Range 8jC 20*C/W(Notel) ±19V ±1SV Operating Temp.

Output Short Circuit Range (Note 3) (Note 3)

Duration Continuous Continuous Storage Temp.

Range -65*CSTAi150*C -65'CiTAsi50*C

Lead Temp.

(Soldering, 10 sec.) 260*C 260*C

ESQ Tolerance Rating to be determined.

DC Electrical Characteristics (Note 4)

Symbol Parameter ConditionsLF411A LF411

Units

Mln Typ Max Mln Typ Max

Vos Input Offset Voltage Rs=-10kft, TA = 25"C 0.3 0.5 0.8 2.0 mV

AVos/AT Average TC of Input

Offset Voltage

Rs=10kn(NoteS)7 10 7

20

(Note 5)liV/'C

"os Input Offset Current VS =±1SV(Notes 4. 6)

T| = 25*C 25 100 25 100 pA

T,= 70'C 2 2 flA

T| = 12S'C 25 25 tiA

>a Input Bias Current VS =±15V(Notes 4, 6)

T|= 25'C 50 200 50 200 PA

T, = 70'C 4 4 nA

T|=125'C 50 50 nA

RlN Input Resistance T| = 2S*C 10'2 1012 n

AVol Large Signal Voltage

Gain

VS =±15V v>j=±10V.

RL = 2k.TA --25*C50 200 25 200 V/mV

Over Temperature 25 200 15 200 V/mV

v Output Voltage Swing VS =±15V. RL =10k ±12 ±13.5 ±12 ±13.5 V

VCM Input Common-Mode

Voltage Range

±16 + 19.5 ±11 + 14.5 V

-16.5 -11.5 V

CMRR Common-Mode

Reflection Ratio

RsSIOk80 100 70 100 dB

PSRR Supply Voltage

Rejection Rabo

(Note 7)80 100 70 100 dB

is Supply Current 1.8 ^8 1.8 3.4 mA

AC Electrical Characteristics (Note 4)

Symbol Parameter ConditionsLF411A LF411

Unite

Mln Typ Max Mln Typ Max

SR Slew Rate VS-±15V.TA= 25'C 10 15 8 15 V/,lS

GBW Gain-Bandwidth Product VS =±15V. TA =25'C 3 4 ^7 4 MHz

•n Equivalent Input Nose Voltage TA = 25"C. Rs = 100n.

f=1kHz25 25 nV/V" jHz

in Equivalent Input Noise Current TA = 2S"C. 1 = 1 kHz 0.01 0.01 pAA/ vfiz

92

Page 110: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Not* 1: Unless otherwise ipecrtWo the aosofcjt© maximum negative input vottage ts equal 10 the negatrv* power inW voltage.

Not* £ For operating at elevated temperature, these devices must be derated d«w on a thermal resistanc* o( SjA.

Not* l The** devices v* available in both the commardal IWpwm ring* 0*CiTA £70"C and the military temperance rang* -55*C£TA£125*C Th*

tamperatur* rang* l* O—tgnaaad by ma position kjst oafora th* paglpaaa, ^^^9m^&^0»tvai>m.A'Xr^dkattm9mCOammdMlmivmtU*ntigtu^aa^rindicates tna miitary ternp*ratur* rang*. Th* mtftary temperature rang* is avaaaokt in "H" pacnaoe only.

Not* 4: Unless otherwia* specrted. the speciftcaQons apply ovar Via rul tamparabj*e rang* and for Vs- ± 20V for (he LF411A and for Vs- ±15V for th* LF411.

Vos- "b- endios « n^Murad at Vcu - 0.

Not* 5: The LF411A is 100% MM to this specification. Tna LF4 11 ts sampl* tastsd to inaur* ai least 90% of th* untts meet Vis apactflcaflon.

Not* ft- Th* Input bias currants ar* junction leakage currants which approximate*/ double tor every icrc Incraas* m th* function temperature, Tl Due to Umltad

production test flma, th* Input bias currents measured are correlated to runction temperature, in normal operation the Junction tamperatur* rise* abov* th* ambient

tamparatur* as a result of internal power dlssipason. Pr> t|- t a *-9^ P where 9^ is th* tharmal resistance from junction to ambient Us* of a h**i sink ts

recommended it Input bias currant is to be kept to a minimum.

Not* 7: Supply voltage rejection raeo is measured tar both supply magnrtudaa increasing or decreasing sirnurtaneously in accordance with common practice, from

± 15V to ± SV for th* LF411 and from ±20Vto i5V for th* LF411A.

Notes: F£TS4llXfor Lf4tlMHandLF4llWmdtaryspecrfk»bons.

Note St Max Power Otssipaaon is defined by th* package characteristics. Operating th* part near th* Max. Power Dissipation may caus* th* part to operate

outside guaranteed tmrcL

Typical Performance Characteristics

Input Bill Currant Input Blai Current

s

2 «•

J- tmU-2VC

vn-n =

y—it

'

*—S

-Jg*'

.

-a -23 3 50 75 100 125

raipsuniiccc)

Supply Current

-sn.irt^.

l.--" "^L «- ""

^pr~ ^ i25-c

sumjvMj«i:±»)

Positive Common-ModeInput Voltage Limit

-ss-cii.inrc

posmtE sum?VOUUC(V)

Negative Common-ModeInput Voltage Umit

-ss-Cit.sim

S3 -H

ifsi- 11

M-,

Poiltlve Current Limit

ii

^4 *s-± 15V

ks Kvr !

12re o-c

-s -i« -« -a -aoomsunvrOUME(V)

10 9 I

otrmrr sounet

cunariMi

Negative Current Limit Output Voltage Swing Output Voltage Swing

3

I .

ifis

«—.*<v^ -tm

1

h^s

v"*\

ra*c 25)1

If.

If-

k-ai.-at

??

_L_ S~Tyr

II

TT

7.,

-J---

1

.

ourmt sou cuiiorr imi SUmj«0UME|±*) •t-oumn low itfn

TVWSdS5-2

93

Page 111: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Typical Performance Characteristics (continued)

Gain Bandwidth

II

II

sl

M5V

c -' »*

1

-so -a o a so 75 too ia

TlKfBUTUKJ CO

3

III »i-t»4UI "i-a

jjljTct.100>F

riFl.11:1

PHASE

1I

I

III 1 \i

'

111 I i_ HI

50 ||• 55

s-m 5 §

-100

-ISO

*» -is»1

4,-1

1 —

1

1 >1 1 . ,

OBuaaima)-so -a o a so n no in

rmrEMTunEi-ci

Distortion vs Frequency

»,.4«t|

1 I

"(1 1

i i

•,-1001

iff-'

-av^//

l*i-»j|

i i 1 LA-ff

00 1k 10

FREBUBICT (KB

Undlstorted OutputVoltage Swing

1 1! I'll S,TJ

1i

H

3- 70

3 -.

V

\i

1!

3*5 to

N|

V-aii-a-c 11 ill4,-1<1X0<SI il ill!

ion

RtaUENCT |MI)

Open Loop Frequency

Response

Jz

3§ a5 "

\1 10 100 Ik 101 10* IM 1M

FFtfOUBCr (1U|

Common-Mode Rejection

Ratio

I1

•i- tisv

V-ai.-a-c

—h^aw-ataB^*| |

^N Ofwuor1

..\ V0U1CF

. jhOs^t:K f:

J L10 100 Ik 10k ion 1H 10M

FOEOutucTiia

Power Supply

Rejection Ratio

I I t.X1S»at

i ~^»su(nr

is

ii u58sum.s.

I' v

sI

V10 100 Ik in ion la

«B»BICT (Hi)

Equivalent Input Noise

Voltage

rTjr

|1

?sf

H\

s 1|| 40 -

\J 1

;3 *rr* •

1

;1 1

1

h m lot

Open Loop Voltage Gain

10 is

sumj HOUAK (Ml

Output Impedance

Vl-IlSk^Pi,.a-cmill 1

'

"TfjITTT

m^4 44

3^IHUnliKI il

L.Kf I >ff».-'a

=4ff» 5f*f 11

.

||

ir1 i

,M\ 1

I

1

100 Ik 10k ion i»

fHfOUENCTIKIl

Inverter Settling Time

i II IIII//I II10

fj/'rU-

1

Ufl~Tr ii

10 IT* \llff

11 il Wi !

SOTllW TrW£ usi

TUH/S6SS-3

94

Page 112: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Pulse Response RL =2kn.cLio PF

Small Signal Inverting Small Signal Non-Inverting

Large Signal Inverting Large Signal Non-Inverting

Current Limit <R L = loon)

Application HintsThe LF41 1 series of internally trimmed JFET input op amps(81-FET htm) provide very low input offset voltage and guar-

anteed input offset voltage drift These JFETs have large

reverse breakdown voltages from gate to source and drain

eliminating the need for clamps across the inputs. There-

fore, large differential input voltages can easily be accom-

modated without a large increase in input current. The maxi-

mum differential input voltage is independent of the supply

voltages. However, neither of the input voltages should be

allowed to exceed the negatrve supply as this will cause

large currents to flow which can result in a destroyed unit.

Exceeding the negatrve common-mode limit on either input

will force the output to a high state, potentially causing areversal of phase to the output. Exceeding the negative

common-mode limit on both inputs will force the amplifier

output to a high state. In neither case does a latch occur

since raising the input back within the common-mode range

again puts the input stage and thus the amplifier in a normal

operating mode.

Exceeding the positive common-mode limit on a single input

will not change the phase of the output however, if both

inputs exceed the limit the output of the amplifier may be

forced to a high state.

95

Page 113: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Application Hints (continue*)

The amplifier will operate with a common-mode input volt-

age equal to the positive supply; however, the gain band-

width and slew rate may be decreased in this condition.

When the negative common-mode voltage swings to within

3V of the negative supply, an increase in input offset voltage

may occur.

The LF41 1 is biased by a zener reference which allows nor-

mal circuit operation on ± 4.5V power supplies. Supply volt-

ages less than these may result in lower gain bandwidth and

slew rate.

The LF411 will drive a 2 kn load resistance to ±10V over

the full temperature range. If the amplifier is forced to drive

heavier load currents, however, an increase in input offset

voltage may occur on the negative voltage swing and finally

reach an active current limit on both positive and negative

swings.

Precautions should be taken to ensure that the power sup-

ply for the integrated circuit never becomes reversed in po-

lanty or that the unit is not inadvertently installed backwards

in a socket as an unlimited current surge through the result-

ing forward diode within the IC could cause fusing of the

internal conductors and result in a destroyed urut

As with most amplifiers, care should be taken with lead

dress, component placement and supply decoupling in or-

der to ensure stability. For example, resistors from the out-

put to an input should be placed with the body close to the

input to minimize "pick-up" and maximize the frequency of

the feedback pole by minimizing the capacitance from the

input to ground.

A feedback pole is created when the feedback around any

amplifier is resistive. The parallel resistance and capaci-

tance from the input of the device (usually the inverting in-

put) to AC ground set the frequency of the pole. In manyinstances the frequency of this pole is much greater than

the expected 3 dB frequency of the closed loop gain and

consequently there is negligible effect on stability margin.

However, if the feedback pole is less than approximately 6times the expected 3 dB frequency, a lead capacitor should

be placed from the output to the input of the op amp. Thevalue of the added capacitor should be such that the RCtime constant of this capacitor and the resistance it parallels

is greater than or equal to the original feedback pole time

constant

Typical ApplicationsHigh Speed Current Booster

lk

-ArW-

PNP-2NZ90S

NPN-2N2219 irtim noMd

TO-5 hut M*s for Q6-Q7 TUH/S6S5-0

96

Page 114: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Typical Applications (Continued)

10-Blt Linear DAC with No vos Adjust«o> in41 u u u u u i: U M til

nnnwn,

aunt Hunt cam~jr*

V0UT--V„Ef(T *-

r-^T * —

j

-10V S V„EF S 10V

wn« A^- 1 (I la Am dgiuu input is nigh

A^ - tl tn« AN agJMJ input is low

Single Supply Analog Switch with Buffered Output

VW-

1 - SWITCH OFFO—*A\-• •sarrciioa

Detailed Schematic»CCO—

ujun

TUH/MSS-10

97

Page 115: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Physical Dimensions inches (millimeters)

MFBBKE PUOIE„i.

r^ifffT

_ 0015-Q.040

, t~ (0.181 -LOW)

SEAnHGPUNE

fT|I2.70|

KIN

j i k:(0.406 -0.4UI

0IATm>

0.025

(0 6151

MAX UNCONTHOIXEOUAD0IA

lO.Tii -t.m)~\Z

Metal Can Package (H)

Order Number LF411MH/M3 or LF411ACHNS Package Number H08A

m m m m

Ld LaJ UJ H

0.220 0.110 UJU

0.201 CLASS

J L

Ceramic DuaJ-ltvUne Package (J)

Order Number LF411MJ/883NS Package Number J08A

98

Page 116: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Q.

E<(0co

Q.o

a.c

UJu.

a3O

0)(0

O5o

Physical Dimensions inches (millimeters) (Continued)

(7.112)""

o.ne-msm (0.7O1

(7 C -1131 '

T

- ;

t

HJ0.1B

oon-oois§

liza-mil

Ul>:: 01)

OUMM

a 060

(l.I7BI~

Molded Oual-ln-Une Package (N)

Order Number LF411ACN or LF411CNNS Package Number NOSE

UFE SUPPORT POUCY

NATIONAL'S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN UFE SUPPORTDEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT OF NATIONALSEMICONDUCTOR CORPORATION. As used herein:

1. Lite support devices or systems are devices or 2. A critical component is any component of a life

m« whtrh fa) am intfinflAri for ^nrmral imDlant «mnnort HavIca or «n/*:!Apn u/hn^A tailiu-A tn rmnVirm ransystems which, (a) are intended for surgical implant

into the body, or fb) support or sustain life, and whose

failure to perform, when property used in accordance

with instructions for use provided in the labeling, can

be reasonably expected to result in a significant injury

to the user

support device or system whose failure to perform can

be reasonably expected to cause the failure of the life

support device or system, or to affect its safety or

effectiveness.

<* Mil Watt Birdn RoadA/togion. TX 76017Tat 1(800) 272-9959

Par 1(800)737-7018

EtnpaFtK (+49) 0-18O-S30 85 86

Emai: cnfwoa»IWB>fclW«0MOautaen Tat (+49) 0.180-530 85 85

Engirt Tat (+49) 0-100-532 78 32

Fninpaa Tat ( + 49) 0-180-532 93 58Itafcano T«* ( + 49) 0-180-534 18 80

Hong Kong UdL1 3tn Fioc*

. Sfr«gN Block.

Ocaan Cantra. S Canton RdTaraanatau. Kowtoon

r«t <asz> zrj7-ieoo

Ftx [8S3 27»W«0

99

Page 117: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

(9 National Semiconductor

CD4001BM/CD4001BC Quad 2-lnput

NOR Buffered B Series GateCD4011BM/CD4011BC Quad 2-lnput

NAND Buffered B Series Gate

General DescriptionThese quad gates are monolithic complementary MOS(CMOS) integrated circuits constructed with N- and P-chan-

nel enhancement mode transistors. They have equal source

and sink current capabilities and conform to standard B se-

ries output drive. The devices also have buffered outputs

which improve transfer characteristics by providing very

high gain.

All inputs are protected against static discharge with diodes

to VD0 and Vss-

FeaturesLow power TTL Fan out of 2 driving 74Lcompatibility or 1 driving 74LS

5V-10V-1SV parametric ratings

Symmetrical output cna/aciensocs

Maximum input leakage 1 uA ai 1 5 v over full tempera-

ture range

ooDOU.Uoo-i. o03 03

S3ooDO•U £>.OO-» oCOOOOOOc c0) Q>

Q.Q.IO N>i i

3 3tj-jc c

zz>o

cocc 3

•|O Q.

°-WD WWOto 2.-.Oct> Ww Oo»! to

to

Schematic DiagramsV0D CD4001BC/BM

na

|_J _ |_1 (_l j_j3M.H.IH

V00

O * ^W—1«

Vt of <StvtC9 shown

J--TTBL090J "1" - HtQh

Lowest "0" - Low

TUP/S839-2

VD.

IhJ' ||-Jf [Uf

(" «

CD4011BC/BM

Vdd

(_J J_J3MJ0.UI

srugj'llar

^AA^

Vi of MMM •ftOwn

J - A~ni

l_og«J"T- - High

Lo^cmJ "0" - Low

*AI inputs p—>t*ct*d by

CMOS protaCTon breurt.

TUF/5«»-5

RRO-emtlM/PfMM r> U S. A

100

Page 118: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Absolute Maximum Ratings (Notes 1 and 2)

If Military/Aerospace specified device* are required,

please contact the National Semiconductor Sales

Office/Distributors for availability and specifications.

Voltage at any Pin

Power Dissipation (Pq)

DuaJ-ln-Une

Small Outline

VDn Range

Storage Temperature (T3)

Lead Temperature (TJ(Soldering, 1 seconds)

-0.5VtoVDD + 0.5V

700 mW500 mW

-CSVccto+ISVoc-65'Cto + 1S0'C

260*C

Operating ConditionsOperating Range (Vuo) 3 Vqc to 1 5 Vrjc

Operating Temperature RangeC04001BM.CD4011BM -S5"Cto +125*CCD4001 BC. CD401 1BC -40*C to + 85"C

DC Electrical Characteristics cd4ooism.cd4oiibm (Note 2>

Symbol Parameter Conditions-55*C + 25*C + 125-C

UniteMln Max Mln Typ Max Mln Max

loo Quiescent Device

Current

VoD = SV.V|N = VoD orVssV D= 10V.V|N = VqdOtVssVon- 15V. V,n = VrjDOrVss

0.25

0.50

1.0

0.004

0.005

0.006

0.25

0.50

1.0

7.5

15

30

,iA

»iA

vol Low Level

Output Voltage

V0D = 5V I

Voo - 10V\ |l | < 1 ^A

VD0 = 15V J

0.05

0.05

0.05

0.05

0.05

0.05

0.05

0.05

0.05

VVV

Voh High Level

Output VoltageVdd = sv "I

V00 = 10V \ |ll< 1 uA

V0D = 15V J

4.95

9.95

14.95

4.95

9.95

14.95

5

10

IS

4.95

9.95

14.95

VVV

VlL Low Level

Input Voltage

V0D = 5V. V = 4.5V

V0D = 10V. V = 9.0V

VD0 = 15V, V = 13.5V

1.5

3.0

4.0

2

4

6

1.5

3.0

4.0

1.5

3.0

4.0

VVV

V,H High Level

Input Voltage

VDD = 5V. V = 0.5V

VDD = 10V. V = 1.0V

VDD= 1SV.V = 1.5V

3.5

7.0

11.0

3.5

7.0

11.0

3

6

9

3.5

7.0

11.0

VVV

lOL Low Level Output

Current

(Note 3)

V D = 5V, V - 0.4V

VDD = 10V,Vo = 0.5V

V0D = 15V. V = 1.5V

0.64

1.6

4.2

0.51

1.3

3.4

0.88

2.25

8.8

0.36

0.9

^4

mAmAmA

lOH High Level Output

Current

(Note 3)

VD0 = 5V. V = 4.6V

V00 = 10V.V = 9.SV

V 0= 15V,V = 13.SV

-0.64

-1.6

-4.2

-0.51

-1.3

-3.4

-0.88

-2.25

-8.8

-0.36-0.9

-2.4

mAmAmA

l|N Input Current VDD = 15V. V|N = ovV 0= 1SV.Vin= 15V

-0.10

0.10

-10-s10-S

-0.10

0.10

-101.0

^A

Connection Diagrams

CD400 1BC/CD4001BMDuaMn-Une Package

CD4011BC/C04011BMDuaMn-Une Package

tfefi^

mm.TlyF/S839-»

TUF/593S-3

Top View

Top View

Order Number CO4O01B.or CD4011B

101

Page 119: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

DC Electrical Characteristics cD4ooi8c.cD4oiiBc<Note2)

Symbol Parameter Condition*-40*C + 2S-C + 85*C

Units

Mln Max Mln Typ Max Mln Max

loo Quiescent Device

Current

Voo-5V.V,N = VooOTVssVDD - 10V. VIN = VooOTVssVDD - 15V.VIN = VooOrVss

1

2

4

0.004

0.005

0.006

1

2

4

7.5

15

30

"A

HA

Vol Low Level

Output Voltage

VOD-SV "I

V0D - 10V V |ll< 1 /lA

VD0 - 15V J

0.05

0.05

0.05

0.05

0.05

0.05

0.05

0.05

0.05

VVV

Voh High Level

Output Voltage

Vdo = SV "I

Voo = 10V > [ll< 1 (iA

vDo = isvJ

4.95

9.95

14.95

4.95

9.95

14.95

5

10

15

4.95

9.95

14.95

V

VV

VlL Low Level

Input Voltage

Vqd = 5V. V - 4.5V

voo- iov.v = 9.ov

Voo- 15V.V - 13.5V

1.5

3.0

4.0

2

4

6

1.5

3.0

4.0

1.5

3.0

4.0

V

V

V

V|H High Level

Input Voltage

Vqo - SV. V - 0.5V

vDo = iov.v = i.ov

V00 = 15V.V = 1.5V

3.5

7.0

11.0

3.5

7.0

11.0

3

6

9

3.5

7.0

110

V

V

V

kx Low Level Output

Current

(Note 3)

Vqo - SV. Vq = 4V

Voo= 10V.Vo = 0.5V

Voo - 1SV. V = 1.5V

0.52

1.3

3.6

0.44

1.1

3.0

0.88

Z2S

8.8

0.36

0.9

Z4

mAmAmA

'oh High Level Output

Current

(Note 3)

Voo - 5V. V = 4.6V

V o= 10V. V = 9.5V

V00 = 15V.V = 13.5V

-0.52

-1.3

-3.6

-0.44

-1.1

-3.0

-0.88

-2.25

-8.8

-0.36

-0.9

-2.4

mAmAmA

I.N Input Current VD0 = 1SV.V|N = 0V

Voo = 15V. V,N = 15V

-0.30

0.30

-10-5

10-5

-0.30

0.30

-1.0

1.0

uA

HA

AC Electrical Characteristics* co4ooibc.cd4ooi8mTA = 25*C, Input t,; t

f= 20 ns. C|_ 50 pF, RL = 200k. Typical temperature coefficient is 0.3%/*C.

Symbol Parameter Conditions Typ Max Units

<PHL Propagation Delay Time.

High-to-Low Level

Voo = sv

vDD = iov

vDD - 15V

120

50

35

250

100

70

ns

ns

ns

*PLH Propagation Delay Time.

Low-to-High Level

Vdd - sv

voo - iov

Vqo 1SV

110" 50

35

250

100

70

ns

ns

ns

tTHl-'UH Transition Time Vdd = sv

vDD = iov

Vdd - isv

90

SO

40

200

100

80

ns

ns

ns

C|N Average Input Capacitance Any Input 5 7.5 PF

Cpd Power Dissipation Capacity Any Gate 14 pF

"AC Porvnatan an) ouarantaod by DC :offWl«d toaang.

Note 1: "Abaouta Maxanum Htongs ' ar« tnoso vajuoa boyond wfach tho salary of tno dawco cannot bo guanuaa Id Exoopt for "Opontting Tomportuum Rang*"

tnay aro noi n—W id impy that tho umi ahoutd bo opanoad at thoao Smrta. Tho tablo of "E lactncaj Charactarattca" paatfMss condWona tor actual ooiico

Nolo £ AJ vottaoaa maaaurad wflh roapact to Vjs untoaa otharaaao spoanad

Nolo x- lot and iom ara toatad ono output at a tana.

102

Page 120: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

AC Electrical Characteristics* co4oiibc.co4ohbmTA = 25*C, Input t,; tf - 20 ns. C(. =- 50 pF. R L

= 200k. Typical Temperature Coefficient is 0.3%/"C.

Symbol Parameter Conditions Typ Max Units

<PHL Propagation Delay,

High-to-Low Level

Vdd-svVdo - iov

Vdd - 15V

120

SO

35

250

' 100

70

ns

ns

ns

'PLH Propagation Delay.

Low-to-High Level

Voo=5VvDD - iov

vDd - 15V

85

40

30

250

100

70

ns

ns

ns

•thl-'oh Transition Time vDo = sv

vDD = iov

Vdd = 15V

90

50

40

200

100

80

ns

ns

ns

C|N Average Input Capacitance Any Input 5 7.5 pF

Cpd Power Dissipation Capacity Any Gate 14 pF

**C Pran«t*n arm gurt/it—d by DC cofretatKl tasting.

Typical Performance Characteristics

Typical

Transfer Characteristics

Typical

Transfer Characteristics

'»•'"

CD40I19TA = 25

gC

V„.IW ri"t»'»

v

i

auoneTA = 23°C

1

v».io»l

1

"to*"

!

1

V, - M>VT VOLUCE (V)

ONE WPUT 0(0.T

njrisam-i

Typical

Transfer Characteristics

V,- WITT VOLTAGE (V)

BOTH INPUTS

V„.I5Y

C040018TA* 2S°C

1

»»="« r-k-

"1

""'

mTaC 2M

1

CMM1Ir»-»-c

ni»»m

V.-HPUT VOLTACf. (V)

BOTH ikwrs

V00 -WIT VOITWC (VI

TUF/58TO-11

TUF/SS39-10

Typical

Transfer Characteristics

»or>-'5v

CD400IBTA = 2S«C

v„-io» "".

Vb,-5Vr&

1

V|-MPUTVOt.rAC£ (V)

OWE MPUT OHLT

TUF/SWB-9

OMtlllT..JTC

•Wl

"n

r 1

vD0 - nmr voltacc rw

Tl/F/5»3»-12

103

Page 121: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Typical Performance Characteristics (continued)

2 w 'SO

iS too

it78

CtMOClE

v^sv

1 0O»l3V

' m =IOV

CO4O018

1,= 25«C

1

*l£*L '

™»iovi

V«,"1SV|

50 100 » :00

C,_- LOU) CA»OUNC£ (pO

Tl/F/S83»-I3

FIGURE 7

q-lOM CAMCJIWCE (pO

TVF/SW»-U

RGURE 8

ft

!I

ifMJ'

C&WII6TA=25°<

l*»s=2I

VjOitOV

—r Voo.isv

25 30 73 100

c,_- load capioumx (pO

TUF/5B39-1S

RGURE 10

li

Ml

OS

*220 fu

|

«ppl

TOP.

co-

co.

10018

IOI18

an NaUlion a*

AM 90

|

2 • t 9 10 12 14 It 18 20

vjo-powd! sufpuOO

TUF/5MS-17

RGURE 11

_ ai J*

a

CO400IB-ED4011I

v^.m

I /1/ 1

— '00=' ov

I

£ *00 =K2 A S t 10 12 II I! It 20

wo

I!

IB KB

il

r

C0400I1BIj»25«C

Voo-SV

'"v,B««w

V •'*»

50 100

q- load camqtamo- (pO

TUF/S839-1S

RGURE 9

C04011B \

i

i // \^^"^—"C—*"

/ ''^^Z-—-^~

^>^50 100

q_- LOAD CAPAOTlNCt (pf j

njF/sws-ia

RGURE 12

i

"T^vtt -,.

I I Tl! ! 1

1

2D II l( It 12 10 g 6

"a-'ourMTl_ff/5*J»-20

104

Page 122: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

4) a>+* •—*

flj TO

(3C5(0 (0a> a>

i- i_

a> a>

(0(0com^oo> a>i_ v.

v a>«•— «^«»- «•—

3 3comceoozz<*-z= *-asC Q.T Ccm-tTjCM« "O3 «O 3o°mot-cQO T-O T-f oQrrOQ^O?^cosi-DQOi-Ot-t©a-*ooo

Physical Dimensions inches (millimeters)

ax Mm can

Ceramic Dual-ln-Une Package (J)

Order Number CD40018MJ, CD4001BCJ. CD40011BMJ or C04011BCJNS Package Number J14A

irararaarml

"1 p£- gj-i

Molded Oual-ln-Une Package (N)

Order Number CD4001 BMN. CD4001 BCN, CD401 1BMN or C0401 1BCNNS Package Number N14A

LIFE SUPPORT POLICY

NATIONAL'S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN UFE SUPPORTDEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT OF NATIONALSEMICONDUCTOR CORPORATION. As used herein:

1. Life support devices or systems are devices or 2. A critical component is any component of a life

systems which, (a) are intended lor surgical implant

into the body, or (b) support or sustain life, and whose

failure to perform, when properly used in accordance

with instructions for use provided in the labeling, can

be reasonably expected to result in a significant iniury

to the user.

support device or system whose failure to perform can

be reasonably expected to cause the failure of the life

support device or system, or to affect its safety or

effectiveness.

Hiuonv Sarateonductor

nil Wwt Bwrln ftoad

Artngion, TX 76017

T«t K800J272-9959Fax 1(800)737-7019

HtMontt SamtoonductorEirop*

Fax ( + *9> 0-180-530 85 86Emat cnf«9s«u»vm2.naccom

DauOc* T«L (+49) 0-160-530 85 85En#B» Tat ( + 49) 0-180-532 78 32

i T«t (+49) 0-160-S32 93 58It* ( + 49)0-160-534 i8 60

Hong Kong Lid.

13th Floor. Scraugw Block.

OOMD Ca«W. 5 Ctvnon Ad.

Tumanatau. Kowrioon

Hong KongTat (852) 2737-1600

Fax (852) 2736-9960

105

Page 123: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

& National Semiconductor

CD4049UBM/CO4049UBC Hex Inverting Buffer

CD4050BM/CD4050BC Hex Non-Inverting Buffer

General DescriptionThese hex buffers are monolithic complementary MOS(CMOS) integrated circuits constructed with N- and P-chan-

nel enhancement mode transistors. These devices feature

logic level conversion using only one supply voltage (Vqq)

The input signal high level (Vih) can exceed the v Do supply

voltage when these devices are used for logic level conver-

sions. These devices are intended for use as hex buffers,

CMOS to DTL/TTL converters, or as CMOS current drivers,

and at Vdq = 5.0V, they can drive directly two DTL/TTL

loads over the full operating temperature range.

FeaturesWide supply voltage range 3.0V to 15V

Direct drive to 2 TTL loads at 5.0V over full tempera-

ture range

High source and sink current capability

Special input protection permits input voltages greater

than Vqo

ApplicationsCMOS hex inverter/buffer

CMOS to DTL/TTL hex converter

CMOS current "sink" or "source" driver

CMOS high-to-low logic level converter

ooDO•U *•OOen .uo <orue2 CD

^^O^oo£0?.uWo°.**00 <oOCI 03oOx IZ®o x?3II» •*3.5*3<QCO CO

03 =c -»-» o^ 1(D

Connection Diagrams

CD4049UBM/CD4049UBCDual-ln-Une Package

c i-r ' nt (>I c j-o

|u In i« In

CD4050BM/CD4050BCDual-ln-Une Package

4J

flflfl

III II

4^

14 |l3 12 11 It t

4J4J

11 4

iri

•I'

"a

TUF/59TI-2

Top View

Order Number C04049UB or C04049B

Top View

Order Number CD4050UB or CD40SOB

RR&aWUIOVPnMM in U S. K

106

Page 124: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Absolute Maximum Ratings (Notes i & 2) Recommended OperatingIf Military/Aerospsce specified devices are required, Conditions (Note 2)pleaae contact the National Semiconductor Sale.

3Vto15VOffice/Distributors tor availability and specifications. ^' H

*DDy

Supply Voltage (Voo) -O.SV to + 18V'"put Voltage (V1N) 0V.O15V

Input V0lUge(V)N) -0.5V,o + 18VVolUge at Arr, Outp* Pin(W 0,oVDo

Voltage at Any Output Pin (V0UT)-O.SV.o V0D + O.SV ^wluB^CD^OSOBM

98^ -SFCto +125-CStorage Temperature Range (Ts) -65*Cto + 150"C CD4049UBC. CD4050BC -40*Cto+85*CPower Dissipation (Prj)

Dual-ln-Line 700 mWSmall Outline 500 mW

Lead Temperature (T|J

(Soldering, 10 seconds) 260*C

DC Electrical Characteristics cD4049M/co4osoBM(Note2>

Symbol Parameter Conditions-55*C + 25*C + 12S*C

Units

Mln Max Mln Typ Max Mln Max

lOD Quiescent Device Current V00 = 5V

Vqo = iov

Voo - 15V

1.0

2.0

4.0

0.01

0.01

0.03

1.0

zo4.0

30

60

120

uA

HA

Vol Low Level Output Voltage V|H = Vdd.V,L = 0V.

lid < 1 uA

voo = sv

Voo = iov

Vqo = 15V

0.05

0.05

0.05

0.05

0.05

0.05

0.05

0.05

0.05

VVV

V H High Level Output Voltage V|H = V00.V|L = 0V.

hoi < 1 maVoo = sv

Vqo = iov

Voo = 15V

4.9S

9.95

14.95

4.95

9.95

14.95

5

10

1S

4.95

9.95

14.95

VVV

VlL Low Level Input Voltage

(CO4050BM Only)

|II< 1 uA

Vqo = 5V. v = o.sv

V o= 10V. V = 1V

Voo= 1SV.V = 1.5V

1.5

3.0

4.0

Z25•4.5

6.75

1.5-

3.0

4.0

1.5

3.0

4.0

VVV

VlL Low Level Input Voltage

(CD4049U8M Only)

llol < 1 r*A

Voo - 5V. V = 4.SV

Vqo = 10V.Vo = 9V

Voo 15V.V = 13.5V

1.0

2.0

3.0

1.5

ZS3.5

1.0

2.0

3.0

1.0

ZO3.0

VVV

VlH High Level Input Voltage

(CD4050BM Only)

hoi < 1 maVoo " sv. V - 4.SV

Voo= 10V,VO = 9V

Vqo - 15V. V = 13.5V

3.5

7.0

11.0

3.5

7.0

11.0

Z755.5

8.25

3.5

7.0

11.0

V

V

V

VlH High Level Input Voltage

(C04049UBM Only)

hoi < 1 >*A

Vqo 5V. V - 0.5V

Voo = 10V. V - 1V

Vdd = 1SV.V = 1.5V

4.0

8.0

12.0

4.0

8.0

12.0

3.5

7.5

11.5

4.0

8.0

1Z0

V

VV

lOL Low Level Output Current

(Note 3)

V|H = Vdo.V|L = 0V

Voo - 5V. V - 0.4V

voo = iov. v = o.sv

Vqo - 15V.V = 1.5V

5.6

12

35

4.6

9.8

29

5

12

40

3.2

6.8

20

mAmAmA

Not* 1: *j»o*jia Mnwufl RaBnas" ar» tnos* viijo beyond vrrach the safety or m« device cannot be guaranteed: mey are not meant to tfnpty rnat the devices

should be operated at these tmrta. The table o( "Recommended Operaang Comattont" and "ElecmcaJ Charactenatics" provides condrbona for actual devtce

cperabon

Note 2: Vss - 0V unless othanvae apeeffted.

Hota 3: These are peak output curent capabttrje*. Continuous output current is rated at 12 mA maximum. The output current should not be alowed to exceed thrs

vafue for extended panoda of rime. !<x and Ioh era tested one output at a tme.

107

Page 125: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

DC Electrical Characteristics cd4049m/cd4osobm (Note 2) (continued)

Symbol Parameter Condition*-sre + 2S*C + 125*C

- Units

Mln Max Mln Typ Max Mln Max

'oh High Level Output Current

(Note 3)

Vih - Vdd. v1L - ov

Vdd sv. v - 4.6V

VDD = 10V, V 9SVVDD -= 15V,Vo- 135V

-1.3

-2.6

-8.0

-1.1

-Z2-7.2

-1.6

-3.6

-12

-0.72

-1.5

-5.0

mAmAmA

l|N Input Current VDD = 15V.V,n = 0V

VDD - 1SV.V|N =- 1SV

-0.1

0.1

-10-510-5

-0.1

0.1

-1.0

1.0

iiA

Note 1: "Absoajte Manmum Ratings" are those values beyond which the safety of the oaves cannot be guaranteed: (nay ara not mum to imply that the devices

should ba operated at these errata. Tna tabta ol "Racommandad Operating CorvJOona-and "Sectrtcal Characteristics" provides conditions for actjaJ dsvce

operation.

Note 2: Vjs - ov unlaaa otherwise specified

Note 3: These ara paa* output currant caoeoiltie*. Conahuoua output current Is rated at 1 2 mA maximum. Tha output current should not em aJowed to exceed tmvalua (or ajrtandad partoda of lima. Irx and Ioh ara tested ona output at a ttma.

DC Electrical Characteristics cd4049ubc/co405osc (Note d

Symbol Parameter Conditions-40-C -t-25*C + 85*C

Units

Mln Max Mln Typ Max Mln Max

loo Quiescent Device Current v0D = sv

v0D - iov

Voo - 15V

4

8

16

0.03

0.05

0.07

4.0

8.0

16.0

30

60

120

Vol Low Level Output Voltage Vih- vD0.vlL =ov.

hoi < 1 («A

vDd - sv

Vdd - iov

Vdd = 15V

0.05

0.05

0.05

0.05

0.05

0.05

0.05

0.05

0.05

V

V

V

V H High Level Output Voltage V|H=VDO.V|L =0V.

liol < 1 »A

Voo = 5V

vD0 - iov

Vdd = isv

4.95

9.95

14.95

4.95

9.95

14.95

5

10

IS

4.95

9.95

14.95

V

vV

VlL Low Level Input Voltage

(CD40S0BC Only)

hoi < 1 r^vDD - sv. v = o.sv

VDD = 10V. V = 1V

VDD = 1SV.V = 1.SV

1.5

3.0

4.0

£254.5

6.75

1.5

3.0

4.0

1.5

3.0

4.0

V

VV

VlL Low Level Input Voltage

(CD4049UBC Only)

hoi < 1 «*vD0 = sv. v = 4.5V

v D- iov. v = 9V

Vdd = isv.v = 13.5V

1.0

zo3.0

1.5

2.5

3.5

1.0

zo3.0

1.0

zo3.0

V

V

V

VlH High Level Input Voltage

(CD40S0BC Only)

lid < 1 r"A

Vdd - sv. v = 4.5V

Vdd = iov. v - 9V

V00 = 15V. V - 13.5V

3.5

7.0

11.0

3.5

7.0

11.0

Z755.5

8.25

3.5

7.0

11.0

V

vV

VlH High Level Input Voltage

(CD4049UBC Only)

liol < 1 "*vDD - sv, v = o.5v

Vdd = iov. v = iv

V0D = 15V. V = 1.5V

4.0

8.0

12.0

4.0

8.0

12.0

3.5

7.5

11.5

4.0

8.0

1Z0

V

V

V

Note 1: "Ashould be

operation.

Notei:Vs

Not. 1: Tr>

value tor <r

bsokjta Ucnrun RaBnos" ara those

operated at these arrets. Tha table

s - ov unless otherwise spaotled

M are pea* output currant capabtis

rtendad periods ot time, (ql and iqh

values beyond when me safely of

)f "Recommended Operating Cone

as. Continuous output currant is rata

ara lasted ona output at a erne.

rhadevne

r&ons" ant

del 12mJ

cannot bi

-Bectnt

rrifaUOfTTur

guarantee!

aj Characta

v Tha outPL

t rheyan

rentes' p

it currant

trtotmea

rovtdas c

should no

rtttpanpty

M'idSons t

tbeaaowa

thatrheo

ir actual levice

auras

108

Page 126: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

DC Electrical Characteristics co4049ubc/cd4osobc (Note 2) (continued)

Symbol Parameter Conditions-40*C + 25*C + 8FC

Unit.

Mln Max Mln Typ Max Mln Max

lot Low Level Output Current

(Note 3)

V|H = VDO,V,L = 0V

Voo - sv. v - o.4V

Vdd iov,v -o.5VVDD = 1SV.V = 1.5V

4.6

9.8

29

4.0

8.5

25

5

12

40

3.2

6.8

20

mAmAmA

'OH High Level Output Current

(Note 3)

Vih - Vdd. Vil - ov

vDD " sv. v - 4.6V

vD0 = iov. v = 9.sv

V0D = 15V.V =- 13.5V

-1.0

-2.1

-7.1

-0.9

-1.9

-6.2

-1.8

-3.6

-12

-0.72

-1.5

-5

mAmAmA

'in Input Current V o= 15V.V|N = 0V

Voo= 1SV.VIN = 1SV

-0.3

0.3

-0.3

0.3

-10-510-5

-1.0

1.0

uAuA

AC Electrical Characteristics* cd4049ubm/cd4049ubc

TA = 25*C, Cl 50 pF. RL « 200k. t, - t| 20 ns, unless otherwise specified

Symbol Parameter Conditions Mln Typ Max Units

tpHL Propagation Delay Time

High-to-Low Level

V D - SV

Vdo = iov

V D = 15V

30

20

15

65

40

30

ns

ns

ns

•PLH Propagation Delay Time

Low-to-High Level

VD = SV

Voo = iov

Vdd = 15V

45

25

20

85

45

35

ns

ns

ns

<THL Transition Time

High-to-Low Level

vDD = sv

voo - iov

VDD = 15V

30

20

IS

60

40

30

ns

ns

ns

^ Transition Time

Low-to-High Level

vDo = SV

V D = 10V

Vqd - 15V

60

30

25

120

55

45

ns

ns

ns

C|N Input Capacitance Any Input IS 22.5 pF

"AC Parameters art guaranteed by DC correlated testing.

AC Electrical Characteristics* ccmosobm/cdaosobc

TA = 2S'C, CL 50 pF. r\ = 200k, v = tf = 20 ns. unless otherwise specified

'AC Prarktwnm guarantMd by DC corrststad tasting.

Symbol Parameter Conditions Mln Typ Max Unite

tpHL Propagation Delay Time

High-to-Low Level

v D = sv

Voo = iov

Vdo - 15V

60

25

20

110

55

30

ns

ns

ns

tpLH Propagation Delay Time

Low-to-High Level

Voo = sv

Vdd - iov

Vdo - 15V

60

30

25

120

55

45

ns

ns

ns

*THL Transition Time

High-to-Low Level

Vdd = sv

Vdd = iov

vDo = isv

30

20

15

60

40

30

ns

ns

ns

'TUI Transition Time

Low-to-High Level

Vqd - SV

Voo = iov

Vdd = 15V

60

30

25

120

55

45

ns

ns

ns

C|N Input Capacitance Any Input 5 7.5 pF

109

Page 127: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Schematic DiagramsCD4049UBM/CD4049UBC

1 of 6 Identical Units

CD40SOBM/CD4050BC1 of 6 Identical Unlu

Jn

f^ ~?v

•00

3-

!\ \TiyF/5»7l-4

Switching Time Waveforms

v00 -

THl

"IM

TUF/5971-S

Typical Applications

.VgDI

CMOS to TTU or CMOS at a Lower Vdo

voo v00

m=.v00,

- 1CI

NOW Vooi * vOt»

Not*: In DM CSS* of in* CtMOUUBM/CXMOUUeCIft* output drrv* cspAblty rer*as*s »rth ncnusuig

input voltsg*- E.8. n Vqo, - iov m CO4049UBM/CD4049UBC could dnvo a TTL loses.

110

Page 128: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

a> a>

3 3OQOQa>o>c C^ ,**k. i_

0) 0)> >c cX

I

c:0) oX zo XCD 0)31O

o U!*» Oao

too

CD

QO

3 ?oOQ

COoUPorrO QO

Physical Dimensions inches (millimeters)

— [.....i"«—

uuuuuijuyo.2:o-o.jioIS.il-7.17)

1

v.,

0.005

JO.IJJ-

OJ00 _- . I [-[«.M-1.

|?.oj|""-H <-I

Born CH0S ^OJUIMUn,"""""» -1r— (0.««o.oi|'"

0. lOOt 0.610 ~, I I

ftan»

. T-

0:10-0*10 L[7.17- io.«i 1

r—

Ceramic DuaWn-Une Package (J)

Order Number CD4049UBMJ, CD4049UBCJ, CD4049BMJ or CD4049BCJNS Package Number J16A

-'— TJ LU 111 UJ LLl UJ LLI UJ

0.1 tf-OJOO(i«J-5J00!i J_

4£ 1

vriww iu opts

ftjOO^ gjjC . (1.841)

95*15°

I O.tOOtO.010

oigoio.010 <2j4ei°-ZM>

"(1370*03541 ^

VT ojao 1'

Molded Dual-ln-Une Package (N)

Order Number CD40S0BMN, CD4050BCN, CD4050BMN or CD40SOBCNNS Package Number N16E

UFE SUPPORT POUCY

NATIONAL'S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN UFE SUPPORTDEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT OF NATIONALSEMICONDUCTOR CORPORATION. As used herein:

Life support devices or systems are devices or 2. A critical component is any component of a life

systems which, (a) are intended for surgical implant

into the body, or (b) support or sustain life, and whosefailure to perform, when properly used in accordance

with instructions for use provided in the labeling, can

be reasonably expected to result in a significant injury

to the user.

support device or system whose failure to perform can

be reasonably expected to cause the failure of the life

support device or system, or to affect its safety or

effectiveness.

(*National Sarntconduaor

Ww BarOn HoadTX 76017

Tat 1(600} 272-9959

Pax 1(800) 737-7016

Pax ( + 49) 0-160-530 65 66Emaai enpaoACtavm^Jveoom

Oautacn Tad: (+49) 0.180-530 65 65Engltan T«l: (+49) 0-180-532 78 32Pranca« Tat (+49) 0-180-532 93 58ItaHano Tat ( + 49) 0-18O-S34 16 80

national SatmtoondwctorHong Kong Lid.

13Vi Floor Stmghl Block.

Ooaan Canva. S Canton Rd.

TsfmanaJau. Koarioon

Hong KongTat (852) 2737-1800

Pax (652) 2736-9980

111

Page 129: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

<* National Semiconductor

CD4066BM/CD4066BC Quad Bilateral Switch

General DescriptionThe CD4066BM/CD40668C is a quad bilateral switch in-

tended for the transmission or multiplexing of analog or digi-

tal signals. It is pin-for-pin compatible with CD4016BM/CD4016BC. but has a much lower "ON" resistance, and

"ON" resistance is relatively constant over the input-signal

range.

FeaturesWide supply voltage range 3V to 1 SV

High noise immunity 0.45 Vqd (typ.)

Wide range of digital and ±7.5 Vpeak

analog switching

"ON" resistance for 1 5V operation 80nMatched "ON" resistance ARoN"5n (typ.)

over 15V signal input

"ON" resistance flat over peak-to-peak signal range

High "ON'VOFF"output voltage ratio

High degree linearity

High degree linearity

High degree linearity

65 dB (typ.)

9 f-„ = 10 kHz. RL = 10 kfl

0.1% distortion (typ.)

9f„ = 1 kHz. V„ = 5VM> .

Voo-Vss = 10V, RL= 10kft

Extremely low "OFF -

0.1 nA (typ.)

switch leakage 9 V00- Vss= 1 0V. TA » 25"C

Extremely high control input impedance 1012n(typ.)

Low crosstalk -50 dB (typ.)

between switches 9 1ij= 0.9 MHz. R|_ = 1 kft

Frequency response, switch "ON" 40 MHz (typ.)

ApplicationsAnalog signal switching/multiplexing

• Signal gating

• Squelch control

• Chopper

• Modulator/Demodulator

• Commutatjng switch

Digital Signal switching/multiplexing

CMOS logic implementation

Analog-to-digital/digital-to-analog conversion

Digital control of frequency, impedance, phase, and an-

alog-signal-gain

oooO)00

OD.uoo>a>wOca>a.

CD

Schematic and Connection Diagrams

—|r*-M(—

|

*-t>-t>H>- y-

Order Number CD4066B

H1

1£r-

Dual-ln-Une Package

t — , I

|M4— a

Top View

RRf>«30U1 OVPiVM Vt U. S. A.

112

Page 130: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Absolute Maximum Ratings (Notes i& 2) Recommended OperatingIf Military/Aerospace specified devices are required,

please contact the National Semiconductor Sales

Office/Distributor* for availability and specifications.

Supply Voltage (VDD) -0.5V to + 18V

Input Voltage (Vin) -0.SV to V00 + 0.5V

Storage Temperature Range (Tj) -65'C to + 1 50*C

Conditions (Note 2)

Supply Voltage (VDD ) 3V to 1 5V

1 nput Voltage (V|N) 0V to V o

Operating Temperature Range (T^)

CO4066BM -55'C to + 125*C

CO4066BC - 40-C to + 85*C

Power Dissipation (Pd)

Dual-ln-Une 700 mWSmall Outline 500 mW

Lead Temperature (TO(Soldering, 10 seconds) 300-C

DC Electrical Characteristics co4066BM(Note2)

Symbol Parameter-55'C + 25*C + 125*C

Mln Max Mln Typ Max Mln Max

loo Quiescent Device Current Voo = 5V 0.25 0.01 0.25 7.5 fAVDD-10V 0.5 0.01 0.5 15 pAV00 = 15V 1.0 0.01 1.0 30 HA

SIGNAL INPUTS AND OUTPUTS

Ron "ON" ResistanceVdd-Vss

Ri- 10 lento-22—222

Vc= Voo.Vls=Vss toV DVD0=5V 800 270 1050 1300 nVoo=10V 310 120 400 550 nVDD=15V 200 80 240 320 n

aRon A"ON" Resistance

Between any 2 ot

4 Switches

RL=10knto°° ^

Vc= VDD.V,S = Vss toVDDVoo=10VVDD=1SV

10

5 n

hs Input or Output Leakage

Switch "OFF'

VC =

V|s= 15VandOV,

V s=OVand15V

±50 ±0.1 ±50 ±500 nA

CONTROL INPUTS

VlLC Low Level Input Voltage Vis= VssandVooVos=VDoandVssl ls=±10uAVDo = 5V 1.5 2.25 1.5 1.5 Vv00=iov 3.0 4.5 3.0 3.0 VVDD=15V 4.0 6.75 4.0 4.0 V

V,HC High Level Input Voltage V D = SV 3.5 3.5 2.75 3.5 VVDo=10V(seenote6) 7.0 7.0 5.5 7.0 VV00=15V 11.0 11.0 8.25 11.0 V

I'N Input Currant Vdd-Vss-isvVooiVaiVssvoosveavss

±0.1 ±10-5 ±0.1 ±1.0 MA

DC Electrical Characteristics cd4066bc (Note g

Symbol-41re + 25*C + 8FC

Units

Mln Max Mln Typ Max Mln Max

loo Quiescent Dewce Current VDD = 5V 1.0 0.01 1.0 7.5 MAVoo = 10V 20 0.01 2.0 15 uAVDD =1SV 4.0 0.01 4.0 30 uA

113

Page 131: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

DC Electrical Characteristics (continued) cd4066bc (Note 2)

Symbol-40-C + 25-C + 85"C

Unit.

Hln Max Mln Typ|Max Mln

| Max

SIGNAL INPUTS AND OUTPUTS

Ron "ON" Resistance RL.10WltoVDO~VsS

Vc-Vrjo. VsstoVrjo

Voo-SV 850 270 1050 1200 nV D=-10V 330 120 400 520 nVD0 =15V 210 80 240 300 n

aRon A"ON" Resistance

Between Any 2 of

4 Switches

RL=iokn.oVDD "Vss

L2

VcC"V o,V,s-Vss toVODVoo-iovV00 -15V

10

5

nn

lis Input or Output Leakage

Switch "OFF"

vc -=o ±50 ±0.1 ±50 ±200 rtA

CONTROL INPUTS

VlLC Low Level Input Voltage V|s=VssandV oVos^VooandVssl,S=±10(iA

Vod = 5V 1.5 2.25 1.5 1.5 VvDD =iov 3.0 4.5 3.0 3.0 VVDD = 15V 4.0 6.75 4.0 4.0 V

VlHC High Level Input Voltage V D= SV 3.5 3.S ^75 3.5 VVDO= 10V(Seenote6) 7.0 7.0 S.5 7.0 VVDD = 15V 11.0 11.0 8.25 11.0 V

N Input Current Vod-vSs=isvVqd^VisSVssV0D2VciVss

±0.3 ±10-5 ±0.3 ±1.0 MA

AC Electrical Characteristics* ta = 25*c.t,="<f= 20 ns and vSs~ov unless otherwise noted

Symbol Parameter Conditions Mln Typ Max Units

tpML. IPIH Propagation Delay Time Signal

Input to Signal Output

Vc" Voo. CL 50 pF. {figure 1)

RL =-200k

V0D = 5V 25 55 ns

Vdo = 10V 15 35 ns

V00 = 1SV 10 25 ns

<PZH. tPZL Propagation Delay Time RL 1 .0 kn. CL = SO pF. {figures2 and 3)

Control Input to Signal V0D = 5V 125 ns

Output High Impedance to VDD = 10V 60 ns

Logical Level VDD =15V 50 ns

tPHZ'tPLZ Propagation Delay Time R L= 1 .0 kft_ CL

= 50 pF, Ipgures 2 and 3)

Control Input to Signal Vrjo = SV 125 ns

Output Logical Level to Vdo=10V 60 ns

High Impedance Voo=15V SO ns

Sine Wave Distortion VC = V0D = 5V.Vss=-SVRL = 10kn. V|S = 5VIH).f=1 kHz.

{figure*)

0.1 %

Frequency Response-Switch Vc -=Voo= 5V.Vss =-5V. 40 MHz

"ON" (Frequency at - 3 dB) RL = 1kn.V|S= 5VM>.

20 Log, Vos/V s (1 kHz)-dB.

{figure*)

114

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AC Electrical Characteristics" (Continued) TA --.2S-C. t, = t(= 20ns and Vss= 0V unless omerwise noted

Symbol Typ

Feedthrough— Switch "OFF'(Frequency at -50 dB)

Crosstalk Between Any TwoSwitches (Frequency at -50 dB)

Crosstalk; Control Input to

Signal Output

Maximum Control Input

VDD - 5.0V. Vcc - Vss- - 5.0V.

RL = 1 kft, V,s = SOVp^ 20 Log10,

Vos'Vis - - 50 dB. (Figure 4)

Voo = Vc(A) = 5.0V: Vss= Vc,B ,= 5.0V.

RL1 kn. V,s(A) - 5.0 Vp^ 20 Log, .

Vo^B)/VIS(A) - - 50 dB (Figure 5)

Voo = iov, rl = 10 kn. R|N - 1 .o kn.

Vcc = 1 V Square Wave. CL= 50 pF

(Figure 6)

RL - 1 .0 kn. Cl - 50 pF, (Figure 7)

Vosro-'/iVosO-OkHz)Voo-S.0VVOD =10VVQQ-15V

6.0

8.0

8.5

MHzMHZMHz

C(S Signal Input Capacitance

Cos Signal Output Capacitance Vpo-lOV

ClOS Feedthrough Capacitance Vc-OV

ClN Control Input Capacitance

•AC Parameters an giiai m tmi by DC correlated testing.

Note 1: "Absolute Mcanun Ratings** am those valuee beyond

should 04 oot-raiad at dvwo bints. The tables of "Racon-n-ai

tmtaiNot* 2: Vjs-OV nJni otherwise spec-ted.

Note £ These devices should nol ba connected to arcutts mi

Note 4: in all cases, thara is aot*tro*dmat-**v 5 pp ol probe and

Nota S: Vq is the voltage at tha in/out pin and Vns a the volt

Not. I: Cond-txvo tor v,*;: a) Vts-Voo- -OS - standard S sai

wMcn ma safety or me davica cannot be g-jarantaed. Thay are not meant to ar-ply mat trie dev-oas

Opervong Conditions** and "QecmcaJ Oanaatma" prov-de condoons tor actual device

ft the power "ON".

jg capaotai-ce -n ma output however, mis capacitance is included

age at me out/In put Vc Is me voltage at mo control Input

* 'oh b)VK -0V. Iqi. -standard 8 sartas lot-

Ci wherever it Is specified.

AC Test Circuits and Switching Time Waveforms

TOajIMl *MOTa2£L.«HM

FSr^C7^

FIGURE 1. tpHi_. 'plh Propagation Delay Time Signal Input to Signal Output

•oa *zm 'r«z

-^~h. >•*! *

2.t,

>FIGURE 2. tpzH. tpHz Propagation Delay Time Control to Signal Output

csarati vM•"•J^l.ae""

TRGURE 3. ipjL. tp<_z Propagtlon Delay Time Control to Signal Output

115

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AC Test Circuits and Switching Time Waveforms (Continued)

COITMll VM

'™ woo"

T vC~ v0O '°* <*«ortloo tnd frequency response t

Vc- Vss lor teodBirough tast

FIGURE 4. Sin* Wave Distortion, Frequency Response and Feedthrough

T»»n »-

-u»-

CMTMl Vgg

TFIGURE 5. CroMUlk Between Any Two Switches

cannot vMMM„. MR££, •«-—J— XT"

Tr- ie£Z—

!

}>—— CR03STAIK

FIGURE 6. Crosstalk: Control Input to Signal Output

COITMl v

swrcwt

JMtTT171«i S«t

FIGURE 7. Maximum Control Input Frequency

116

Page 134: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Typical Performance Characteristics

"ON" Resistance vs Signal

Voltage for TA = 25"C

3 2M rT*00- v»"w

am

-4-4-4-2 2 4 I I

96MAL vatTMl Ofo) fW

"ON" Resistance a* a Function

of Temperature for

Vdo-Vss=10V

"ON" Resistance aa a Function

Of Temperature for

Vdo-Vss=15V

> as

mI as

i<-

k'"

5 »

tA .«h i ri '-

-±±B5 -s

.r»- -u-i

-S-4-4-I0 1 4 4 I

ou>i votrut (Va)m

"ON" Resistance aa a Function

of Temperature for

Voo-Vss=SV

z mm7z'W"

JilT+f"*.--1

-S -4 -4 -2 8 2 4 4 4

SC4M1 V01T4CI H/gfflA

-4 -4 -4 -2 4 2 4 4

ni4nr voltacc r*ti> rv>

TVF/SMS-*

Special ConsiderationsIn applications where separate power sources are used to

drive Vno and the signal input, the Vnn. current capability

should exceed Vod/Rl Pl= effective external load of the 4

C04066BM/CD4066BC bilateral switches). This provision

avoids any permanent current flow or clamp action of the

Vqq supply when power is applied or removed from

CD4066BM/CD4066BC.

In certain applications, the external load-resistor current

may include both Vrjn. and signal-line components. To avoid

drawing Vrjrj current when switch current flows into termi-

nals 1 . 4. 8 or 1 1 , the voltage drop across the bidirectional

switch must not exceed 0.6V at TAS2S'C. or 0.4V at

TA>25'C (calculated from Ron values shown).

No VrjQ current will flow through RL if the switch current

flows into terminals 2. 3. 9 or 10.

117

Page 135: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

Physical Dimensions incr** millimeters)

I

r B ra eg a m m

LlI LlJ Ld W lil N U

11

i>j«»-i.ia>

COM111271

MIH

116 1 r-

\(4J77) B

1

'4OJ10-J J10

|

IT»«*TY1

in-un

ft -J(iitn-oj«S)

|SEAGUtS UM;IM

SEA1A1T (IJM^HT)|SEALA>T jijMACT—1 |— MAX .j^gg.j_rnJ-i.r-M-l_r-l_r-lJ=l=J (U»-1JI4

u io «ii djun

0.100 JJIO

C2.5A0.t2WI

0.175-

0.IM

ojii

Cerdlp (J)

Order Number CD4066BMJ or CD4066BCJNS Package Number J14A

a a a a aq a

'H H H H H H H>-^T\

j

713, -J

S.O. Package (M)

Order Number CD4066BCMNS Package Number M14A

118

Page 136: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

u

•s

(A

2

m"O(03ooCD(O<ooQO

mCDOQO

Physical Dimensions inches (millimeters) (Continued)

r=i re ra R ra rri r

Zi-^ UJ U U UJ Ui/jJ LJiTapLi.

. ...

~

T

WW

Dual -4 n- Line Package (N)

Order Number C04066BMN or C04066BCNNS Package Number N14A

UFE SUPPORT POUCY

NATIONALS PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN LIFE SUPPORTDEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT OF NATIONALSEMICONDUCTOR CORPORATION. As used herein:

1. Lite support devices or systems are devices or 2. A critical component is any component of a life

systems which, (a) are intended for surgical implant

into the body, or (b) support or sustain life, and whose

failure to perform, when properly used in accordance

with instructions for use provided in the labeling, can

be reasonably expected to result in a significant injury

to the user.

support device or system whose failure to perform can

be reasonably expected to cause the failure of the life

support device or system, or to affect its safety or

effectiveness.

t> 1111 Watt Bardm RoadArfngton. TX 76017"•i

:1 [800) 272-9959

Par 1(800) 737-7018

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Pax ( + 419) 0-1HO-S30 SS MEmari: &tpaoa« iavm2jiac.com

Dautacft Tat (+49)0-160-530 85 65Englan Tat ( + *») 0-160-532 76 32Ffancaai Tot (+49) 0-160-532 93 56nature Tat ( + 49) 0-180-534 1 6 90

Mono Kong Lid.

1 3m Root, SUwgfti Stock.

Ocean Canfre. 5 Canton fld

TsmahataU. KowtoonHong KongTat (8521 2737-1600

Pac (852) 2736-9960

Haflonal Satntoonductor

119

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120

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APPENDIX B. PROGRAMMABLE GIC FILTER LAYOUT

A. TWO PHASE CLOCK

1. Two Phase Clock Layout

121

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2. Two Phase Clock Inverter One Layout

122

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3. Two Phase Clock Inverter Two Layout

123

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4. Two Phase Clock Inverter Three Layout

124

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5. Two Phase Clock Nor Gate Layout

125

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Page 148: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

B. BILATERAL RESISTOR

1. Bilateral Resistor Layout

126

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Page 150: The VLSI implementation of a GIC switched …Calhoun: The NPS Institutional Archive Theses and Dissertations Thesis Collection 1998-03-01 The VLSI implementation of a GIC switched

2. Pass Gate Laout

\

ml

.

*

atWW a a in

mm

in ii ii

II till Ii (I II .1 lilt :

1111. WWV-.V-. V

illill

f(fff(f?irifi'fi tt I? u Hi I

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(.1 ii* fr ?i nft til til]

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' '.

i(M\u

127

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3. Bilateral Cap Layout

128

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C. VARIABLE BILATERAL ONE

1. Variable Bilateral One Layout

129

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2. Variable Bilateral Two Layout

130

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D. OPERATIONAL AMPLIFIER

1. Operational Amplifier Layout

:'4\

131

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2. 6.89pf Capacitor Layout

132

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E. FILTER LOGIC

1. Filter Logic Layout

133

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2. Logic Inverter Layout

134

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3. Logic NAND Gate Layout

135

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4. Logic NOR Gate Layout

136

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F. FREQUENCY LOGIC LAYOUT

137

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G. QUALITY FACTOR LOGIC LAYOUT

138

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H. PROGRAMMABLE GIC LAYOUT

139

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I. PROJECT LAYOUT

140

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LIST OF REFERENCES

1. Schaumann, R., Ghausi, M.S., Laker, K.R., Design ofAnalog Filters, Prentice Hall, Inc.,

Englewood Cliffs, NJ, 1990.

2. Budak, A., Passive andActive Network Analysis and Synthesis, Houghton Mifflin Company,

Boston, MA, 1974.

3. Andresakis, P., "Digitally Controlled "Programmable" Active Filters," Master's

Thesis, Naval Postgraduate School, December 1985.

4. Bhattacharyya, B.B., Mikhael, W.B., and Anioniou, A., "Design of RC-active Networks

using Generalized-Immitance Converters,"journal of the Franklin Institute, Vol. 297, pp.

45-58, January 1974.

5. Sedra, A.S., Smith, KLC, Microelectronic Circuits, Saunders College Publishing, Fort Worth,

TX,1991.

6. Pulfrey, D.L., and Tarr, N.G., Introduction to Microelectronic Devices, Prentice-Hall, Inc.,

Englewood Cliffs, NJ, 1989.

7. Weste, N.H.E., Eshraghian, KL, Principles ofCMOS VLSI Design, A Systems Perspective,

Addison-Wesley Publishing Company, New York, NY, 1993.

8. Roberts, G.W., and Sedra, A.S., Spice, Oxford University Press, Oxford, NY, 1997.

9. Allen, P.E., and Edgar, S., Switched Capacitor Circuits, Van Nostrand Reinhold Company,

New York, NY, 1984.

10. Michael, S., Analog VLSI: Class Notes, Naval Postgraduate School, Monterey, CA,

1996.

1 1

.

Pettit, S.L., "VLSI Implementation of a Digitally Programmable Three Stage GICFilter," Master's Thesis, Naval Postgraduate School, June, 1995.

12. Silvernagle, GA., "VLSI Implementation of Stray Insensitive Switched Capacitor

Composite Operational Amplifiers," Master's Thesis, Naval Postgraduate School,

December, 1983.

1 3. Gregorian, R., and Temes, G.C., AnalogMOS Integrated Circuitsfor Signal Processing, JohnWiley and Sons, New York, NY, 1986.

14. Michael, S., Andresakis, P., "Digitally Controlled Programmable Active Filters," Annual

Asilomar Conference on Circuits, Systems, and Computers, Pacific Grove, CA, November 1985.

141

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1 5. Cadence, Design Framework II, Reference Manual, Cadence Design Systems, Inc. San JoseCA, 1994.

142

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Naval Postgraduate School

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143

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32 .73NPS ^11/02 22527-200 nlb

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