18
90PF Slot Card Dual Channel Programmable Introduction Filter/Amplifier Card Description Each 90PF slot card provides two channels of precision, low noise and distortion (-100 dB typical) programmable filters with up to 60 dB of pre and 20 dB of post adjustable gain. Filter modules are programmable from 0.1 Hz to 300 kHz utilizing 4, 11-bit tuning ranges. When assembled with a high-pass filter in channel one (1) and a low-pass filter in channel two (2), 90PF slot cards can be configured on the fly to operate as a low-pass, high-pass, band-pass, or band- reject (notch) filter. Customers can select any combination of two available filter modules per slot card to meet their application specific signal conditioning needs. Front panel mounted BNC’s provide easy access for connection of signal input and output. Other features include differential or single-ended input, AC or DC-coupled input, single ended output, LED clipping indicators and fine adjustment of DC offset. Operating the 90PF in filter BYPASS mode allows the design engineer to use each channel as a precision instrumentation grade programmable amplifier. Features 0.1 Hz to 300 kHz Tuning Range Selectable single-ended or differential input Gain/phase matched channels LED clipping indicators Memory storage for up to 9 set-ups/slot card <-100 dB signal-to-noise ratio to 100 kHz BW Programmable gain, 60 dB pre and 20 dB post Applications Anti-Aliasing Sound Measurement Noise Testing Audio Communications Medical Research Industrial Process Control Seismic Analysis Vibration Analysis Available 90PF Low Pass Filters Part # dB # Poles Filter Type L8B -100 8 Butterworth L8L -100 8 Bessel L8E -88 8, 6-zero Elliptic, 1.77 L8EX -80100kHz 8, 6-zero Elliptic, 1.56 -60>100kHz L8EY -100 8, 6-zero Elliptic, 2.00 L8D80 -80 8, 6-zero Constant Delay L8D10 -100 8, 6-zero Constant Delay Available 90PF High Pass Filters Part # dB # Poles Filter Type H8B -100 8 Butterworth H8E -88 8, 6-zero Elliptic, 1.77 H8EX -80100kHz 8, 6-zero Elliptic, 1.56 -60>100kHz H8EY -100 8, 6-zero Elliptic, 2.00 1 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] Web Address: http://www.freqdev.com

90PF Slot Card Dual Channel Programmable Introduction ... · Dual Channel Programmable Introduction Filter/Amplifier Card ... and a low-pass filter in channel two ... Dual Channel

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90PF Slot Card

Dual Channel Programmable Introduction Filter/Amplifier Card

Description Each 90PF slot card provides two channels of precision, low noise and distortion (-100 dB typical) programmable filters with up to 60 dB of pre and 20 dB of post adjustable gain. Filter modules are programmable from 0.1 Hz to 300 kHz utilizing 4, 11-bit tuning ranges. When assembled with a high-pass filter in channel one (1) and a low-pass filter in channel two (2), 90PF slot cards can be configured on the fly to operate as a low-pass, high-pass, band-pass, or band-reject (notch) filter. Customers can select any combination of two available filter modules per slot card to meet their application specific signal conditioning needs. Front panel mounted BNC’s provide easy access for connection of signal input and output. Other features include differential or single-ended input, AC or DC-coupled input, single ended output, LED clipping indicators and fine adjustment of DC offset. Operating the 90PF in filter BYPASS mode allows the design engineer to use each channel as a precision instrumentation grade programmable amplifier. Features • 0.1 Hz to 300 kHz Tuning Range • Selectable single-ended or differential input • Gain/phase matched channels • LED clipping indicators • Memory storage for up to 9 set-ups/slot card • <-100 dB signal-to-noise ratio to 100 kHz BW • Programmable gain, 60 dB pre and 20 dB post Applications • Anti-Aliasing • Sound Measurement • Noise Testing • Audio Communications • Medical Research • Industrial Process Control • Seismic Analysis • Vibration Analysis

Available 90PF Low Pass Filters Part # dB # Poles Filter TypeL8B -100 8 Butterworth L8L -100 8 Bessel L8E -88 8, 6-zero Elliptic, 1.77 L8EX -80≤100kHz 8, 6-zero Elliptic, 1.56 -60>100kHz L8EY -100 8, 6-zero Elliptic, 2.00 L8D80 -80 8, 6-zero Constant Delay L8D10 -100 8, 6-zero Constant Delay Available 90PF High Pass Filters Part # dB # Poles Filter TypeH8B -100 8 Butterworth H8E -88 8, 6-zero Elliptic, 1.77 H8EX -80≤100kHz 8, 6-zero Elliptic, 1.56 -60>100kHz H8EY -100 8, 6-zero Elliptic, 2.00

1 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: [email protected] • Web Address: http://www.freqdev.com

90PF Slot Card

Dual Channel Programmable Introduction Filter/Amplifier Card

P89C660 25C080

Post-GainFilter ModulePre-Gain

Post-GainFilter ModulePre-Gain

SignalInput 1

SignalInput 2

SignalOutput 1

SignalOutput 2

ChannelOne

Channel Two

CPLD

SN

G/D

IF

AC

/DC

BYPASS

SN

G/D

IF

AC

/DC

14

6

14

10

ACTIVEBDREJECT1

BYPASSACTIVE

BDREJECT2CH2_NO_CASCADE

DAC CPLD

SPI BUS

CPLD DAC DAC DAC

AT25256

32-PIN CONNECTOR

TO BACKPLANE

19

20

EEPROM for FILTER CODE

EEPROM for PARAMETERS

2

2

BNC

BNCBNC

BNC

6

10

CPLD

Figure 1 – Signal Path

2 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: [email protected] • Web Address: http://www.freqdev.com

90PF Slot Card

Low Pass Specifications Filter Options

Product Model 90PF - L8B 90PF - L8L 90PF - L8E 90PF - L8EX Transfer Function 8-Pole

Butterworth 8-Pole Bessel

8-Pole, 6-Zero elliptic – 1.77

8-Pole, 6-Zero elliptic – 1.56

Tuning Range 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Theoretical Transfer Characteristics

Appendix A Page 9

Appendix A Page 4

Appendix A Page 24

Appendix A Page 23

Passband Ripple (theoretical)

0.0 dB 0.0 dB ±0.035 dB ±0.05 dB

Pass Band Gain (non-inverting)

0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB to 100 kHz

0 ± 0.4 dB >100 kHz Stop Band

Attenuation Rate 48 dB/octave

Attenuation Rate 48 dB/octave

Attenuation 80 dB

Attenuation 80 dB <100kHz> 60dB

Corner Frequency Accuracy

fc

±2% max.

fc

± 2% max.

fr

± 2% max.

fr

± 2% max.

± 3% > 100 kHzAmplitude -3 dB -3 dB -0.035 dB -0.05 dB Phase -360° -182° -323° -414° Phase Match1

0 - fc ±2º max. ±1º typ.

0 - fc ±2º max. ±1º typ.

0 – 0.8fr 0.8fr - fr

±2º max. ±1º typ. ±4º max. ±2º typ.

0 – 0.8fr 0.8fr - fr

±3ºmax ±4º>100kHz ±4º max. ±5º>100kHz

Filter Attenuation (theoretical) 0.12 dB 0.80 fc 1.91 dB 0.80 fc 0.035 dB 1.00 fr 0.5 dB 1.00 fr 3.01 dB 1.00 fc 3.01 dB 1.00 fc 3.01 dB 1.13 fr 3.01 dB 1.05 fr 60.0 dB 2.37 fc 60.0 dB 4.52 fc 60.0 dB 1.67 fr 60.0 dB 1.45 fr 80.0 dB 3.16 fc 80.0 dB 6.07 fc 80.0 dB 1.77 fr 80.0 dB 1.56 fr Amplitude Accuracy1

0.1 to 100 kHz (theoretical)

0 - 0.8 fc±0.2 dB max. ±0.1 dB typ. 0.8 fc - fc±0.3 dB max. ±0.15 dB typ.

0 - 0.8 fc±0.2 dB max. ±0.1 dB typ. 0.8 fc - fc

±0.3 dB max.±0.15 dB typ.

0 - 0.8 fr±0.2 dB max. ±0.1 dB typ. 0.8 fr - fr±0.4 dB max. ±0.2 dB typ.

0 - 0.8 fr ±0.2 dB max. ±0.1 dB typ. 0.8 fr - fr ±0.7 dB max. ±0.35 dB typ.

Total Harmonic Distortion @ 1 kHz

<-100dB typ.@3Vrms

<-100dB typ.@3Vrms

<-100dB typ.@3Vrms

<-100dB typ.@3Vrms

Broad Band Noise (5 Hz to 2MHz)

200µVrms typ. 200µVrms typ. 200µVrms typ. 200µVrms typ.

Narrow Band Noise <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration.

3 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: [email protected] • Web Address: http://www.freqdev.com

90PF Slot Card

Low Pass Specifications Filter Options

4 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: [email protected] • Web Address: http://www.freqdev.com

Product Model 90PF - L8EY 90PF - L8D80 90PF - L8D10 Transfer Function 8-Pole, 6-Zero

elliptic – 2.00 8-Pole, 6-Zero constant delay

8-Pole, 6-Zero constant delay

Tuning Range 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Theoretical Transfer Characteristics

Appendix A Page 25

Appendix A Page 21

Appendix A Page 22

Passband Ripple (theoretical)

0.05 dB 0.10 dB 0.15 dB

Pass Band Gain (non-inverting)

0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB

Stop Band

Attenuation Rate 100 dB

Attenuation Rate 80 dB

Attenuation Rate 100 dB

Corner Frequency Accuracy

fr

± 2% max.

fc

± 2% max.

fc

±2% max.

Amplitude -0.05 dB -3 dB -3 dB Phase -419° -306° -311° Phase Match1

0 – 0.8fr 0.8fr - fr

±3º max. ±1.5º typ. ±4º max. ±2º typ.

0 – 0.8fc 0.8fc – fc

±2º max. ±1º typ. ±4º max. ±2º typ.

0 – 0.8fc 0.8fc – fc

±2º max. ±1º typ. ±4º max. ±2º typ.

Filter Attenuation (theoretical) 0.5 dB 1.00 fr 3.01 dB 1.00 fc 3.01 dB 1.00 fc 3.01 dB 1.06 fr 60.0 dB 3.08 fc 80.0 dB 4.45 fc 80.0 dB 1.83 fr 80.0 dB 3.57 fc 100 dB 5.20 fc 100.0 dB 2.00 fr Amplitude Accuracy1

0.1 to 100 kHz (theoretical)

0 - 0.8 fr±0.2 dB max. ±0.1 dB typ. 0.8 fr - fr±0.5 dB max. ±0.25 dB typ.

0 - 0.8 fc±0.2 dB max. ±0.1 dB typ. 0.8 fc - fc±0.4 dB max. ±0.2 dB typ.

0 - 0.8 fc±0.2 dB max. ±0.1 dB typ. 0.8 fc - fc±0.5 dB max. ±0.25 dB typ.

Total Harmonic Distortion @ 1 kHz

<-100dB typ.@3Vrms

<-100dB typ.@3Vrms

<-100dB typ.@3Vrms

Broad Band Noise (5 Hz to 2MHz)

200µVrms typ. 200µVrms typ. 200µVrms typ.

Narrow Band Noise <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration.

90PF Slot Card

High Pass Specifications Filter Options

5 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: [email protected] • Web Address: http://www.freqdev.com

90PF - H8B 90PF - H8E Transfer Function 8-Pole

Butterworth 8-Pole, 6-Zero elliptic – 1.77

Tuning Range 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Theoretical Transfer Characteristics

Appendix A Page 29

Appendix A Page 37

Passband Ripple (theoretical)

0.0 dB ±0.035 dB

Pass Band Gain (non-inverting)

0 ± 0.2dB to 100kHz 0 ± 0.5dB to 400kHz

0 ± 0.2dB to 100kHz 0 ± 0.5dB to 400kHz

Power Bandwidth 500 kHz 500 kHz Small Signal Bandwidth

(-6 dB) 1 MHz

(-6 dB) 1 MHz

Stop Band

Attenuation Rate 48 dB/octave

Attenuation 80 dB

Corner Frequency Accuracy

fc

± 2% max.

fr

± 2% max.

Amplitude -3 dB -0.035 dB Phase -360° -323.5° Phase Match1

fc to 100 kHz ±3º max. ±1.5º typ.

fr – 1.25 fr 1.25fr to 100 kHz

±4º max. ±2º typ. ±2º max. ±1º typ.

Filter Attenuation (theoretical) -83 dB 0.30 fc -80.0 dB 0.56 fr -48 dB 0.50 fc -60.0 dB 0.60 fr -3.01 dB 1.00 fc -0.03 dB 1.00 fr -0.01 dB 1.50 fc 0.00 dB 2.00 fr Amplitude Accuracy1

0.1 Hz to 100 kHz (theoretical)

fc – 1.25 fc±0.3 dB max. ±0.15 dB typ. 1.25 fc – 400 kHz ±0.5 dB max.

fr – 1.25 fr±0.4 dB max. ±0.2 dB typ. 1.25 fr – 400 kHz ±0.5 dB max.

Total Harmonic Distortion @ 1 kHz

<-100dB typ. @ 3Vrms

<-100dB typ. @ 3Vrms

Broad Band Noise (5 Hz – 2 MHz)

400µVrms typ. 400µVrms typ.

Narrow Band Noise <100nV/ Hz typ. <100nV/ Hz typ Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration.

90PF Slot Card

High Pass Specifications Filter Options

6 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: [email protected] • Web Address: http://www.freqdev.com

90PF - H8EX 90PF - H8EY Transfer Function 8-Pole, 6-Zero

elliptic – 1.56 8-Pole, 6-Zero elliptic – 2.00

Tuning Range 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Theoretical Transfer Characteristics

Appendix A Page 36

Appendix A Page 38

Passband Ripple (theoretical)

±0.05 dB ±0.05 dB

Pass Band Gain (non-inverting)

0 ± 0.3dB to 100kHz 0 ± 2.0dB to 400kHz

0 ± 0.2dB to 100kHz 0 ± 2.0dB to 400kHz

Power Bandwidth 500 kHz 500 kHz Small Signal Bandwidth

(-6 dB) 1 MHz

(-6 dB) 1 MHz

Stop Band

Attenuation 80 dB <100kHz> 60dB

Attenuation 100 dB

Corner Frequency Accuracy

fr

± 2% max.

fr

± 2% max.

± 4% > 100 kHz Amplitude -0.05 dB -0.05 dB Phase -414° -419° Phase Match1

fr – 1.25 fr 1.25fr to 100 kHz

±4º max. ±5º > 100 kHz.±3º max. ±4º > 100 kHz.

fr – 1.25 fr 1.25fr to 100 kHz

±4º max. ±2º typ. ±3º max. ±1.5º typ.

Filter Attenuation (theoretical) -80.0 dB 0.64 fr 100 dB 0.05 fr -60.0 dB 0.69 fr -80.0 dB 0.55 fr -3.01 dB 0.95 fr -3.01 dB 0.94 fr -0.03 dB 1.00 fr -0.03 dB 1.00 fr 0.00 dB 2.00 fr 0.00 dB 2.00 fr Amplitude Accuracy1

0.1 Hz to 100 kHz (theoretical)

fr – 1.25 fr±0.5 dB max. ±0.25 dB typ. 1.25 fr – 400 kHz ±0.7 dB max.

fr – 1.25 fr±0.5 dB max. ±0.25 dB typ. 1.25 fr – 400 kHz ±0.5 dB max.

Total Harmonic Distortion @ 1 kHz

<-100dB typ. @ 3Vrms

<-100dB typ. @ 3Vrms

Broad Band Noise (5 Hz – 2 MHz)

400µVrms typ. 400µVrms typ.

Narrow Band Noise <100nV/ Hz typ <100nV/ Hz typ Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration.

90PF Slot Card

Bypass Mode Dual Channel Programmable Specifications @ 25ºC Filter/Amplifier Card

7 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: [email protected] • Web Address: http://www.freqdev.com

Input Characteristics Amplifier Characteristics Input Impedance: Distortion @ 1 kHz <-100 dB typ. @ 3.0 Vrms Differential 2 MΩ shunted by 47pF Noise Density 14 nV/ Hz Single Ended 1 MΩ shunted by 47pF Coupling AC or DC Pre Filter Gain (No Filter) Maximum Input Signal ±10V pk @0 dB Gain Settings 0 to 60 dB in 5 dB steps

±0.1 dB tolerance Input Voltage: Signal Bandwidth -6.0 dB @ 1.0 MHz@ +60 dB Linear Differential 20V p-p (Gain Set at 0 dB) Amplitude Match ±0.1 dB @ DC Max. Safe Differential Any Continuous value

between ±40V Gain Accuracy@ DC ±0.1 dB

Max Safe Common Mode Any Continuous value between ±40V

Bias Current 1 nA typ., 2 nA max. Post Filter Gain (No Filter) Common Mode Rejection Ratio with 2kΩ source unbalance and 0 dB gain

>60 dB, dc to 50kHz

Gain Settings Signal Bandwidth

0 to 20 dB in 1 dB steps ±0.1 dB tolerance -6.0 dB @ 1.0 MHz

Amplitude Match ±0.1 dB @ DC Output Characteristics Gain Accuracy@ DC ±0.1 dB Full Power Bandwidth dc to 1.0 MHz Small Signal Bandwidth (1V pk-pk)

1.0 MHz @ -6dB

Related Output 10V p-p for RL = 50Ω 20V p-p for RL = 2kΩ Output Protection short circuit to Ground only Output Impedance 50Ω Offset Voltage Adjustable to zero,

In 1 mV steps. (Range ±100mV dc)

General Cross Talk between Channels

<-100 dB @ 1 kHz

Operating Temperature 0ºC to 50ºC Offset Temperature Coeff. 10µV/ºC RTI Humidity 0 to 95%, non-condensing Slot Card Dimensions 100 x 220 mm (3U) Weight 0.60 Lbs., (0.3 Kg.)

Ordering Information Select Filter Option Channel 2

90PF-H8B/L8L Select Filter Option Channel 1 We hope the information given here will be helpful. The information is based on data and our best knowledge, and we consider the information to be true and accurate. Please read all statements, recommendations or suggestions herein in conjunction with our conditions of sale that applies to all goods supplied by us. We assume no responsibility for the use of these statements, recommendations or suggestions, nor do we intend them as a recommendation for any use which would infringe any patent or copyright.

8-Pole

Bessel

Appendix A Low-Pass

4 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

Normalized Time (1/f sec)

Ste

p R

espo

nse

(V/V

)

Step Response

0 1 2 3 4 5-0.2-0.00.20.40.60.81.01.2

Normalized Time (1/f sec)

Del

ay (

sec)

Delay (Normalized)

0.1 1.02 3 4 5 6 7 8 90.0

0.5

1.0

1.50.15

Normalized Frequency(f/fc)

Am

p (d

B)

Frequency Response

0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7-100

-80

-60

-40

-20

0(sec)

Theoretical Transfer Characteristics1

0.000.100.200.300.400.500.600.700.800.850.900.951.001.101.201.301.401.501.601.701.801.902.002.252.502.753.003.253.504.005.006.007.008.009.0010.0

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

f/fc(Hz)

Amp(dB)

Phase(deg)

Delay

-79.2-89.8-99.0-107-114

-33.4-38.3-43.1-51.8-66.8

-12.1-13.7-18.1-23.1-28.3

-6.10-7.08-8.16-9.36-10.7

-2.71-3.01-3.67-4.40-5.20

-1.06-1.45-1.91-2.16-2.42

0.00-0.029-0.117-0.264-0.470-0.737

-610-626-638-647-655

-489-509-526-552-587

-345-362-402-436-465

-255-273-291-309-327

-173-182-200-219-237

-109-128-146-155-164

0.00-18.2-36.4-54.7-72.9-91.1

.052

.038

.029

.023

.018

.241

.201

.170

.126

.077

.482

.468

.417

.352

.291

.505

.504

.502

.498

.492

.506

.506

.506

.506

.506

.506

.506

.506

.506

.506

.506

.506

.506

.506

.506

.506

Low-Pass

8-Pole

Appendix A Butterworth

9

0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7

Normalized Frequency(f/fc)

-100

-80

-60

-40

-20

0

Am

p (d

B)

0.1 1.02 3 4 5 6 7 8 9

Normalized Time (1/f sec)

0.0

1.0

2.0D

elay

(se

c)

1.50.15

0 1 2 3 4 5Normalized Time (1/f sec)

-0.0

0.2

0.4

0.6

0.8

1.0

1.2

Ste

p R

espo

nse

(V/V

)

Frequency Response

Delay (Normalized)

Step Response

(sec)

Theoretical Transfer Characteristics1

0.000.100.200.300.400.500.600.700.800.850.900.951.001.101.201.301.401.501.601.701.801.902.002.252.502.753.003.253.504.005.006.007.008.009.0010.0

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

f/fc(Hz)

Amp(dB)

Phase(deg)

Delay

-125-135-144-153-160

-76.3-81.9-87.1-96.3-112

-44.6-48.2-56.3-63.7-70.3

-23.4-28.2-32.7-36.9-40.8

-1.58-3.01-7.48-12.9-18.2

-671-678-683-687-691

-621-629-635-646-661

-560-568-586-600-611

-494-511-526-539-550

-0.001-0.014-0.121-0.311-0.738

0.000.000.000.000.000.00

-333-360-408-445-472

-185-221-261-283-307

0.00-29.4-59.0-89.1-120-152

.023

.017

.013

.010

.008

.094

.080

.069

.052

.033

.253

.226

.174

.139

.113

.540

.448

.380

.328

.287

1.481.461.17.873.672

.9561.041.191.291.40

.816

.819

.828

.843

.867

.903

1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

8-Pole, 6-Zero

Constant Delay

Appendix A Low-Pass (80 dB)

21 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

Normalized Frequency(f/fc)

Am

p (d

B)

Normalized Time (1/f sec)

Del

ay (

sec)

Normalized Time (1/f sec)

Ste

p R

espo

nse

(V/V

)

Frequency Response

Delay (Normalized)

Step Response

0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7-100

-80

-60

-40

-20

0

0.1 1.02 3 4 5 6 7 8 90.0

0.5

1.0

1.50.15

0 1 2 3 4 5-0.2-0.00.20.40.60.81.01.2

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

1.401.601.802.002.25

0.900.951.001.101.20

0.500.600.700.800.85

0.000.100.200.300.40

(sec)

Theoretical Transfer Characteristics1f/fc

(Hz)Amp(dB)

Phase(deg)

Delay

6.507.008.009.0010.0

5.005.255.505.756.00

3.754.004.254.504.75

2.502.753.003.253.50

-86.6-85.1-84.1-84.3-84.9

-92.8-104-101-93.3-89.9

-98.3-86.3-84.1-85.1-87.9

-43.4-50.3-57.6-62.5-75.4

-11.3-17.1-23.2-29.1-36.3

-1.89-2.41-3.01-4.50-6.39

0.034-0.157-0.510-1.07-1.44

0.00 0.017 0.058 0.099 0.105

-300-305-312-317-321

-462-466-289-293-295

-616-442-448-454-458

-561-576-589-599-608

-417-459-492-517-542

-276-291-306-336-365

-153-184-215-245-261

0.00-30.7-61.3-92.0-123

.026

.022

.017

.013

.011

.044

.040

.036

.033

.030

.079

.069

.061

.054

.049

.189

.153

.127

.107

.092

.656

.512

.396

.312

.239

.849

.846

.841

.821

.783

.852

.852

.852

.851

.850

.852

.852

.852

.852

.852

8-Pole, 6-Zero

Constant Delay

Appendix A Low-Pass (100 dB)

22 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Normalized Frequency(f/fc)

Am

p (d

B)

Normalized Time (1/f sec)

Del

ay (

sec)

Normalized Time (1/f sec)

Ste

p R

espo

nse

(V/V

)

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

Frequency Response

Delay (Normalized)

Step Response

0 1 2 3 4 5

-0.00.20.40.60.81.01.2

-0.2

0.1 1.02 3 4 5 6 7 8 90.0

0.5

1.0

1.50.15

.007

.005

.004

.003

.003

.025

.022

.017

.013

.011

.054

.043

.036

.030

.028

.186

.151

.125

.090

.068

.650

.504

.389

.306

.235

.861

.857

.851

.828

.785

.865

.865

.865

.864

.863

.865

.865

.865

.865

.865

0.00-31.1-62.3-93.4-125-156-187-218-249-265-280-296-311-341-370-422-464-496-520-544-563-578-591-610-624-635-643-651-476-478-481-486-312-318-322-328-333-336-339-341

-105-106-107-108-109

-106-110-122-109-106

-81.3-93.4-142-105-105

-40.5-46.1-51.4-61.5-71.2

-11.2-16.8-22.5-28.0-34.5

-1.89-2.41-3.01-4.50-6.38

0.010-0.182-0.532-1.09-1.45

0.00 0.015 0.051 0.085 0.085

12.014.016.018.020.0

6.507.008.009.0010.0

4.505.005.506.006.20

2.502.753.003.504.00

1.401.601.802.002.25

0.900.951.001.101.20

0.500.600.700.800.85

0.000.100.200.300.40

(sec)

Theoretical Transfer Characteristics1f/fc

(Hz)Amp(dB)

Phase(deg)

Delay

0.1 1.0 10.02 3 4 5 678 2 3 4 5 67-120-100-80-60-40-20

0

8-Pole, 6-Zero

Elliptic, 1.56

Low-Pass

Frequency Response

Appendix A

23 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

Am

p (d

B)

Normalized Time (1/f sec)

Del

ay (

sec)

Normalized Time (1/f sec)

Ste

p R

espo

nse

(V/V

)Delay (Normalized)

Step Response

Normalized Frequency(f/fc)0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7

-100

-80

-60

-40

-20

0

0.1 1.02 3 4 5 6 7 8 90.0

2.0

4.0

1.50.15

0.8

0 1 2 3 4 5

-0.00.20.40.60.81.01.2

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

(sec)

Theoretical Transfer Characteristics1f/fc

(Hz)Amp(dB)

Phase(deg)

Delay

4.005.006.007.00

2.402.602.803.003.50

1.851.901.952.002.20

1.501.601.701.751.80

1.001.101.201.301.40

0.750.800.850.900.95

0.500.550.600.650.70

8.009.0010.0

0.000.100.200.300.40

-90.11-91.82-93.41

-84.04-84.76-86.45-88.31

-88.65-99.78-99.97-90.20-85.09

-95.94-89.31-86.44-84.96-84.54

-69.11-89.09-85.32-89.95-103.5

-0.050-10.48-25.96-39.45-52.87

-0.049-0.026-0.001-0.024-0.045

-0.018-0.003-0.002-0.019-0.042

0.00-0.001-0.013-0.040-0.049

-165-167-168

-150-156-160-163

-307-311-135-139-145

-288-290-292-295-302

-624-453-459-463-465

-414-531-576-598-614

-255-279-305-335-369

-156-174-192-212-233

0.00-29.7-59.8-90.5-122

0.0050.0040.003

0.0220.0140.0090.007

0.0690.0570.0480.0410.029

0.1580.1260.1170.1100.087

0.2650.2110.1740.1560.147

3.0622.0430.8140.4930.348

1.2641.3881.5571.7672.111

0.9721.0161.0641.1161.178

0.8230.8290.8440.8650.904

8-Pole, 6-Zero

Elliptic, 1.77

Appendix A Low-Pass

24 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

Normalized Frequency(f/fc)

Am

p (d

B)

Normalized Time (1/f sec)

Del

ay (

sec)

Normalized Time (1/f sec)

Ste

p R

espo

nse

(V/V

)

Frequency Response

Delay (Normalized)

Step Response

0.1 1.02 3 4 5 6 7 8 90.0

2.0

4.0

1.50.15

0.8

0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7-100

-80

-60

-40

-20

0

0 1 2 3 4 5-0.00.20.40.60.81.01.2

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

(sec)

Theoretical Transfer Characteristics1f/fc

(Hz)Amp(dB)

Phase(deg)

Delay

4.005.006.007.00

2.402.602.803.003.50

1.851.901.952.002.20

1.501.601.701.751.80

1.001.101.201.301.40

0.750.800.850.900.95

0.500.550.600.650.70

8.009.0010.0

0.000.100.200.300.40

-86.2-87.8-89.3

-83.1-82.1-83.1-84.6

-82.0-83.5-88.2-99.9-87.2

-83.6-82.0-83.7-87.8-85.8

-40.1-51.5-65.2-75.0-113.0

-0.035-1.76-8.28-18.4-29.3

-0.015-0.041-0.046-0.016-0.025

0.0070.0220.0330.0310.014

0.00-0.004-0.014-0.024-0.020

-160-163-164

-140-148-154-157

-289-295-301-305-134

-440-444-447-450-280

-578-594-606-611-616

-323-392-467-522-558

-213-232-251-272-296

-133-148-163-179-196

0.00-25.7-51.6-77.9-105

0.0070.0050.004

0.0300.0180.0130.009

0.0990.0810.0670.0570.040

0.2170.1980.1820.1680.126

0.5170.3810.2960.2650.239

1.652.141.861.190.753

0.9891.041.121.231.40

0.8110.8400.8720.9080.946

0.7130.7160.7240.7400.767

8-Pole, 6-Zero

Elliptic, 2.00

Low-Pass

Frequency Response

Appendix A

25 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

Am

p (d

B)

Normalized Time (1/f sec)

Del

ay (

sec)

Normalized Time (1/f sec)

Ste

p R

espo

nse

(V/V

)Delay (Normalized)

Step Response

0.1 1.02 3 4 5 6 7 8 90.0

2.0

4.0

1.50.15

0.8

Normalized Frequency(f/fc)0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7

-120-100-80-60-40-20

0

0 1 2 3 4 5

-0.00.20.40.60.81.01.2

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

(sec)

Theoretical Transfer Characteristics1f/fc

(Hz)Amp(dB)

Phase(deg)

Delay

4.005.006.007.00

2.402.602.803.003.50

1.851.901.952.002.20

1.501.601.701.751.80

1.001.101.201.301.40

0.750.800.850.900.95

0.500.550.600.650.70

8.009.0010.0

0.000.100.200.300.40

-107.3-108.6-110.0

-111.5-105.4-105.1-106.0

-121.3-106.5-105.0-106.4-123.6

-81.93-87.78-95.04-106.6-106.0

-50.35-58.90-67.54-72.04-76.79

-0.046-7.910-21.06-31.96-41.51

-0.040-0.014-0.001-0.031-0.036

-0.001 0.000-0.007-0.027-0.045

0.00-0.001-0.015-0.040-0.042

-165-167-168

-149-156-160-163

-307-311-315-318-325

-647-650-652-654-481

-623-632-639-642-645

-419-525-573-597-612

-268-291-317-346-378

-166-185-204-225-245

0.00-31.9-64.2-97.0-131

0.0050.0040.003

0.0220.0140.0100.007

0.0700.0580.0490.0420.030

0.1380.1280.1190.1110.087

0.2710.2160.1770.1620.149

2.6812.1270.8560.5090.357

1.2691.3771.5131.6771.960

1.0201.0571.0991.1401.193

0.8850.8910.9030.9220.958

High-Pass

8-Pole

Appendix A Butterworth

29

0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7

Normalized Frequency(f/fc)

-100

-80

-60

-40

-20

0

Am

p (d

B)

Frequency Response

(sec)

Theoretical Transfer Characteristics1

0.100.200.300.400.500.600.700.800.850.900.951.001.201.401.601.802.002.503.004.005.006.007.008.009.0010.0

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

f/fc(Hz)

Amp(dB)

Phase(deg)

Delay

0.000.000.000.000.000.00

0.000.000.000.000.00

-5.15-3.01-0.229-0.020-0.002

59.049.042.136.832.729.4

-35.5-24.8-15.6-11.6-8.06

-160-112-83.7-63.7-48.2

38636027522619417015212099.274.0

535499459437413

691661631600568

0.0330.0230.0170.0130.0100.008

0.2870.2260.1390.0940.052

1.481.460.8730.5400.380

.9561.041.191.291.40

0.8190.8280.8430.8670.903

1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

8-Pole, 6-Zero

Elliptic, 1.56

High-Pass

Frequency Response

Appendix A

36 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

Am

p (d

B)

Normalized Frequency(f/fc)0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7

-100

-80

-60

-40

-20

0

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

(sec)

Theoretical Transfer Characteristics1f/fc

(Hz)Amp(dB)

Phase(deg)

Delay

9.0010.0

4.005.006.007.008.00

1.801.902.002.503.00

1.301.401.501.601.70

0.900.951.001.101.20

0.550.600.700.800.85

0.100.200.300.400.50

0.000.00

-0.03-0.01-0.01 0.00 0.00

0.00-0.01-0.02-0.05-0.05

-0.04-0.05-0.03-0.01 0.00

-12.3-3.08-0.05-0.03-0.01

-114-84.1-57.0-32.8-22.6

-93.4-84.8-86.0-92.6-85.0

33.029.7

75.159.849.742.537.2

176165156122101

264239219202188

538483414341296

287458617589569

168156143310295

0.0100.008

0.0530.0340.0230.0170.013

0.3150.2750.2430.1450.097

0.7730.6120.5050.4260.364

2.1983.9933.0621.4981.039

0.4720.5150.6520.9621.325

0.3340.3440.3630.3920.439

8-Pole, 6-Zero

Elliptic, 1.77

Appendix A High-Pass

37 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

Normalized Frequency(f/fc)

Am

p (d

B)

Frequency Response

0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7-100

-80

-60

-40

-20

0

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

(sec)

Theoretical Transfer Characteristics1f/fc

(Hz)Amp(dB)

Phase(deg)

Delay

9.0010.0

4.005.006.007.008.00

1.801.902.002.503.00

1.301.401.501.601.70

0.900.951.001.101.20

0.550.600.700.800.85

0.100.200.300.400.50

-0.01 0.00

-0.02-0.01-0.01-0.01-0.01

0.02 0.01 0.01-0.02-0.02

-0.03 0.01 0.03 0.03 0.03

-2.21-0.51-0.03-0.01-0.05

-90.0-60.2-32.4-13.1-6.28

-89.3-82.1-90.6-82.4-87.8

28.625.7

64.751.642.936.832.1

15014113310586.9

221201185172160

401358324277225

437603563498451

164148131292450

0.0090.007

0.0460.0290.0200.0150.011

0.2600.2290.2030.1230.083

0.5960.4860.4090.3470.299

2.662.151.641.040.757

0.7610.8901.372.352.77

0.4400.4590.4950.5590.671

8-Pole, 6-Zero

Elliptic, 2.00

High-Pass

Frequency Response

Appendix A

38 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176e-mail: [email protected] · Web Address: http://www.freqdev.com ·

Am

p (d

B)

Normalized Frequency(f/fc)0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7

-120-100-80-60-40-20

0

1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc).

Actual Delay = Normalized Delay

Actual Corner Frequency (fc) in Hz

(sec)

Theoretical Transfer Characteristics1f/fc

(Hz)Amp(dB)

Phase(deg)

Delay

9.0010.0

4.005.006.007.008.00

1.801.902.002.503.00

1.301.401.501.601.70

0.900.951.001.101.20

0.550.600.700.800.85

0.100.200.300.400.50

-0.002-0.001

-0.028-0.015-0.008-0.005-0.003

0.000-0.003-0.010-0.042-0.045

-0.032-0.046-0.034-0.016-0.004

-9.46-2.16-0.046-0.038-0.001

-78.6-64.6-44.1-26.7-18.2

-110-105-114-110-107

35.531.9

80.664.253.445.740.0

187176166131108

277252231214200

533478419352308

646637615586565

168156323309654

0.0110.009

0.0570.0360.0250.0180.014

0.3280.2880.2550.1530.103

0.7730.6180.5140.4360.376

2.3153.6042.6811.4161.018

0.4800.5240.6691.0011.401

0.3380.3480.3670.3970.445