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MULTI-STANDARD RECEIVER BASEBAND CHAIN
USING DIGITALLY PROGRAMMABLE OTA BASED
ON CCII AND CURRENT DIVISION NETWORKS¤
SOLIMAN A. MAHMOUD
Electrical and Computer Engineering Department,
Sharjah University, Sharjah University City Sharjah, Postcode 27272, UAE
Electrical Engineering Deptartment,
Fayoum University, Fayoum, Egypt
EMAN A. SOLIMAN
Electrical and Electronics Engineering Department,German University in Cairo,
Cairo, Postcode 11835, Egypt
Received 31 July 2012
Accepted 26 November 2012
Published 18 March 2013
In this paper, a digitally programmable OTA-based multi-standard receiver baseband chain is
presented. The multi-standard receiver baseband chain consists of two programmable gain
ampli¯ers (PGA1 and PGA2) and a fourth-order LPF. The receiver is suitable for Bluetooth/
UMTS/DVB-H/WLAN standards. Three di®erent programmable OTA architectures based onsecond generation current conveyors (CCIIs) and Current Division Networks (CDNs) are dis-
cussed. The programmable OTA with the lowest power consumption, moderate area and good
linearity — better than �50 dB HD3 — is selected to realize the multi-standard basebandreceiver chain. The power consumption of the receiver chain is 6mW. The DC gain varies over a
68 dB range with 1MHz to 13.6MHz programmable bandwidth. The receiver baseband chain is
realized using 90 nm CMOS technology model under �0.5V voltage supply.
Keywords: Baseband; bluetooth; current conveyor; current division network; digital program-
ming; DVB-H; programmable gain ampli¯er; UMTS; WLAN.
1. Introduction
Multi-standard communication systems have drawn the attention of researchers over
the past years.1�4 Di®erent wireless communication standards were de¯ned such as
*This paper was recommended by Regional Editor Piero Malcovati.
Journal of Circuits, Systems, and ComputersVol. 22, No. 4 (2013) 1350019 (20 pages)
#.c World Scienti¯c Publishing Company
DOI: 10.1142/S0218126613500199
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Bluetooth (BT), Universal Mobile Telecommunication Systems (UMTS), Digital
Video Broadcasting-Handheld (DVB-H) and Wireless Local Area Network
(WLAN). These standards are protocols for data transfer through voice/data net-
works using single mobile device. Thus, the need of recon¯gurable hardware suitable
for operating for all these standards became a must.4
The architecture of a multi-standard receiver is shown in Fig. 1, the system
consists of RF section followed by an analog baseband section. This work focuses on
the implementation of the analog baseband section. This analog baseband chain
consists of two Programmable Gain Ampli¯ers (PGA1 and PGA2) and a fourth-
order LPF. The authors in Refs. 1�4 used open loop and closed loop Active-Gm-RC
circuits to realize the baseband chain. The programmability of the PGAs DC
gain was achieved using resistor/capacitor arrays, while the ¯lter's bandwidth
programmability was achieved using external hardware circuit to adjust the trans-
conductance gain of the Gm cells used. These programming schemes are complicated
as they are subjected to process variation problems. In addition; overhead hardware
was used to program the baseband section.
In this paper, a multi-standard analog receiver baseband chain based on pro-
grammable Operational Transconductor Ampli¯er (OTA) is proposed. The base-
band chain can be used for BT/UMTS/DVB-H/WLAN standards. The baseband
chain consists of two PGAs and a fourth-order LPF. Three proposed programmable
OTAs are given based on second generation current conveyors (CCIIs) and three-bit
MOS ladder CDN.
The paper is organized as follows: Sec. 2 presents three proposed programmable
OTAs using CCIIs and CDNs with detailed comparison between them, Secs. 3 and 4
contain the receiver baseband chain PGA and LPF architecture, respectively. The
complete receiver baseband chain simulation result is given in Sec. 5; a detailed
comparison between this work and previous work is given throughout the paper
sections.
Fig. 1. Complete multi-standard receiver architecture.
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2. Programmable CCII Based OTAs
OTA is a versatile active circuit that can be used to realize di®erent high frequency
analog signal processing applications. The OTA converts the input voltage to a
linearly proportional output current with trans-conductance gain `Gm'. The input
and output impedance of the OTA ideally tends to in¯nity. The main concern while
designing an OTA is the linearity of the circuit.5�10 In this section three program-
mable OTAs are proposed using CCIIs and CDNs. The proposed OTAs are discussed
in detail below.
2.1. First OTA realization
The OTA in Fig. 2 consists of two CCIIs and two CDNs. The CCII is a voltage/
current mode active circuit with three terminals named Y, X and Z.11 The Y and Z
terminals are high impedance terminals; while the X terminal is a low impedance
terminal. The voltage applied at Y terminal is conveyed to the X terminal. Also, the
X terminal's input current is conveyed to the Z terminal. As for the CDN in Ref. 12;
the circuit is basically a digitally programmable resistor. The CDN input voltage is
converted to a linear current using a binary weighted MOS resistor using the fol-
lowing equation:
Vin
Iin¼ Req ffi
1
��ðVG � VT Þ; ð1Þ
where �, VG and VT are the trans-conductance parameter, gate voltage and threshold
voltage of the MOS transistor used in the CDN, respectively.
Fig. 2. First realization of programmable OTA.
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The parameter `�' is a digitally controlled programmable factor that ranges from
0 to 1. The previous equation is valid only if the potential of the CDN output node is
ground. In Fig. 2, the ¯rst CCII is used to realize high input impedance at the OTA
input terminal by bu®ering the input voltage. Then; the OTA's input voltage is
converted to a linear programmable current through the CDN. The equivalent re-
sistance of the CDN is equivalent to that of a MOS transistor operating in linear
region as given by Eq. (1).
However; in order for the CDN to work adequately another CCII is used to force
the potential of the CDN's output node to be ground. Also, the second CCII conveys
the CDN output current to a high output impedance terminal. The output current
of the proposed OTA in Fig. 2 is given by:
Iod ¼ Iodþ � Iod� ¼ 1
Req
Vin : ð2Þ
This proposed OTA trans-conductance gain is dependent on the MOS transistor's
process parameters, which will make the OTA highly sensitive to process and tem-
perature variations. In addition, if the MOS is driven out of the linear region, then
the OTA's linearity will be degraded signi¯cantly.
2.2. Second OTA realization
The second realization of the programmable OTA is shown in Fig. 3. The input
voltage is ¯rst bu®ered using a CCII. Then, the input voltage is converted to a linear
current using the passive resistance `R'. One terminal of `R' is connected to the input
voltage while the other terminal is connected to a CCII-based bu®er. This connection
is used to ¯x the potential at one terminal of the passive resistor `R' to ground. Thus,
Fig. 3. Second realization of programmable OTA.
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the current at the second CCII's X terminal is given by:
Ix ¼ Ixþ � Ix� ¼ 1
RVin : ð3Þ
The second CCII conveys the current `Ix' to the Z terminal. So far a linear OTA is
realized, in order to program the OTA's output current a CDN at the second CCII's
Z terminal is introduced. Here the CDN is not used as a programmable resistor, it is
used as a programmable current ampli¯er. The CDN's input current is scaled using
the factor `�' and `1� �' at the X terminal of the third CCII.12 The CDN here
consists of two parallel resistors that divide the current between them according to
their equivalent resistances ratios. In order for the input current to be divided with
the previously stated ratios the CDN's output nodes potentials must be ground.
Thus, a third CCII is used to satisfy the virtual ground condition and to convey the
scaled current to a high impedance terminal. The di®erential output current of the
second proposed OTA is given by:
Iod ¼ �
RVin : ð4Þ
This proposed OTA avoids the disadvantages of the ¯rst realization due to the fact
that the OTA's trans-conductance gain depends on a passive resistor instead of a
MOS resistor, thus its linearity is better. However, an additional CCII is used in this
design which will increase the OTAs' area and power consumption.
2.3. Third OTA realization
The advantage of the ¯rst realization is the low area and power consumption and
that of the second realization is the high linearity. A third proposed OTA that
combines the advantages of the two previous realizations is given in Fig. 4. A pro-
grammable OTA can be realized using a CCII while connecting a resistive load `R' at
its X terminal and a CDN in cascade. However, the CDN output nodes potential
must be ground to operate adequately. Thus, another CCII is used for that purpose
as shown in Fig. 4. The relation between the di®erential input voltage and output
current for this realization is the same as the previous one given by Eq. (4). The input
impedance of the circuit is in¯nity and its output impedance is high. The linearity of
this OTA should be the same as the second realization, yet the area and power
consumption of this OTA is the same as the ¯rst one.
2.4. Noise analysis for the proposed OTAs
The three proposed OTAs noise analysis is examined in this sub-section. The noise
analysis of the OTAs depends on the used circuits of the CCII and the CDN. The
circuit of the CCII used in Refs. 13 and 14 is simply a voltage bu®er and thus the
value of its output noise spectral density is the same as its input noise spectral
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density of the circuit. The CCII was realized using a di®erential ampli¯er with active
loads. Thus, the output noise spectral density of the CCII circuit can be given by:
�v 2on ¼ �v 2
in ¼X
4KT�1
gmi
þ M
WiLiCoxf
� �; ð5Þ
where K is Boltzmann constant, T absolute temperature in Kelvin, gmi is the ith
transistor trans-conductance gain, Wi is the ith transistor channel width, Li is the
ith transistor channel length, f is the operating frequency, M and � are process-
dependant constants.
The ¯rst term in Eq. (5) stands for the thermal noise while the second one is the
°icker noise. For simplicity, only the basic di®erential ampli¯er noise is considered.
Since the CDN operates as a programmable current ampli¯er and it consists of
linear MOS transistors, its equivalent input voltage noise spectral density is given by
the following:
�v 2in ¼ 4KTReq : ð6Þ
The CDN voltage noise spectral density is inversely proportional with `�' because as
the amount of current °owing through the network increases the `Req' of the CDN
will decrease. This will decrease the thermal noise as shown in Eq. (6). The voltage
current spectral density can be converted to a current source by scaling the voltage
source with `R�2eq '.
Fig. 4. Third realization of programmable OTA in Ref. 13.
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Consider the ¯rst proposed OTA, the input noise spectral density of the OTA
should be the summation of the input noise spectral density of two CCII and two
CDNs. However, since the CDN input node is connected to a CCII X terminal whose
equivalent resistance is low, then the CDN input resistance is zero and thus the
equivalent input voltage noise spectral density is shorted and it can be neglected.
Thus, the equivalent input noise spectral density of the ¯rst proposed OTA is
given by:
�v 2in ¼ 2
X4KT�
1
gmi
þ M
WiLiCoxf
� �: ð7Þ
As for the second proposed OTA, the noise of three CCIIs, two CDNs are included.
However, two passive resistors are used and consequently their thermal noise must be
added such that the second OTA input referred noise density is:
�v 2in ¼ 3
X4KT�
1
gmi
þ M
WiLiCoxf
� �þ 8KTRþ 8KT�
1ffiffiffiffiffiffiffiffiffiffiffiffiffiffi2��ID
p ; ð8Þ
where `ID' is the DC current °owing in the CDNs.
Consider the third proposed OTA, the input referred noise density of the circuit
will be the summation of those two CCIIs, two CDNs and two passive resistors. The
equivalent input referred noise density will be given by:
�v 2in ¼ 2
X4KT�
1
gmi
þ M
WiLiCoxf
� �þ 8KT�
1ffiffiffiffiffiffiffiffiffiffiffiffiffiffi2��ID
p þ 8KTR : ð9Þ
Thus, the ¯rst proposed OTA will have almost constant input noise spectral density
and it is expected to have the lowest input noise spectral density among the three
OTAs. As for the second and third OTAs, their input voltage spectral density is
expected to be inversely proportional to `p�'.
2.5. CMOS circuit realization
The CCII circuit CMOS realization is shown in Fig. 5. The CCIIþ can be realized
using a voltage bu®er and a current bu®er.14 The circuit realization is based on the
use of a fully di®erential bu®er to convey the di®erential voltage of Y terminal to the
X terminal. The bu®er consists of two matched di®erential ampli¯ers (Das) formed
with transistors M1-M2 and M3-M4. The two DAs are biased using equal current
sources formed with M7 and M8. The drains of M2 and M3 are connected to constant
current sources M5-M6 instead of current mirrors as in Ref. 14. This will force the
currents of the DAs to have the same common and di®erential values and conse-
quently the gate voltages of the DAs are equal.
The current conveying action is obtained using two class AB push-pull output
stages formed from transistors M11-M12, M15-M16, M20-M21 and M22-M23. The
standby current of the output stage is controlled using the circuit formed from
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transistors M9, M10, M13, M14 and M17-M19. A passive compensation circuit can
be used if needed. A common mode feedback (CMFB) circuit is used to adjust the
voltage common mode value at the Z terminal.
A three-bit MOS ladder CDN is shown in Fig. 6.12 Each current division cell
(CDC) consists of four NMOS transistors, two acts as a switch and two acts as
resistors. The CDN is designed such that it has two branches of equal resistance at
any CDC input. Thus the CDC divides the input current into two equal halves one is
either directed to the ¯rst or the second output current branch depending on the
value of the digital control bit `a' while the other half is directed to the next CDC.
Fig. 6. Three-bit CDN CMOS realization in Ref. 12.
Fig. 5. CCII CMOS realization in Ref. 14.
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The CDCs of the MOS ladder CDN must be all matched in order to have equal
resistance values at every branch. Also this CDN will not work properly unless the
output nodes voltage is ground.
2.6. Simulation results
The three proposed OTAs are simulated respectively. First, the CCII shown in Fig. 5
and the CDN shown in Fig. 6 are redesigned using 90 nm CMOS technology model
under supply voltage of �0.5V. The voltage and current conveying action of the
CCII is achieved over the range of �0.2V and �200�A, respectively. The standby
power consumption of the CCII is 0.3mW. The 3-dB bandwidth of the voltage
and current following transfer function is 340MHz and 540MHz, respectively. The
o®set voltage at X terminal is less than 10mV and its ¯nite output resistance is less
than 49�.
The OTAs DC analysis is performed while using `R' at 3 k� for the second and
third OTAs and under short circuit loading condition. The DC analysis for the three
OTAs is shown in Figs. 7�9, respectively. The standby DC power consumption of
the ¯rst and third one is 0.6mW while its value is 0.9mW for the second one.
The magnitude response of the OTAs' trans-conductance gains are shown in
Figs. 10�12 for the three OTAs in order. The 3-dB frequency is almost constant
versus `�' with values 39MHz and 40MHz for the second and third OTA, respec-
tively; while it is varying from 50 to 26MHz for the ¯rst OTA.
The temperature e®ect on the OTAs is examined as shown in Fig. 13 as the
temperature varies from 10�C to 40�C. The second and third OTA currents change
−0.2 −0.15 −0.1 −0.05 0 0.05 0.1 0.15 0.20
0.5
1
1.5
2
2.5
3x 10
−3
Vin [V]
Gm
[A
/V]
0.1250.250.3750.50.6250.750.875
Fig. 7. First programmable OTA's DC analysis simulation result.
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with the temperature and with `�' from 200 fA to 85 fA at values 0.125 and 0.875,
respectively. As for the ¯rst OTA, the temperature variation e®ect is constant with
respect to `�' and the maximum current change is 234 fA and it shows to be the most
sensitive one with respect to temperature variations.
Mismatching and process variation e®ects are studied for the three proposed
OTAs with 20% mismatching error. The output current variation at the maximum
−0.2 −0.15 −0.1 −0.05 0 0.05 0.1 0.15 0.20
0.5
1
1.5
2
2.5
3x 10
−4
Vin [V]
Gm
[A
/V]
0.1250.250.3750.50.6250.750.875
Fig. 8. Second programmable OTA's DC analysis simulation result.
−0.25 −0.2 −0.15 −0.1 −0.05 0 0.05 0.1 0.15 0.2 0.250
0.5
1
1.5
2
2.5
3
x 10−4
Vin [V]
Gm
[A
/V]
0.1250.250.3750.50.6250.750.875
Fig. 9. Third programmable OTA's DC analysis simulation result.
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trans-conductance gain is examined. The results are shown in Figs. 14�16. The ¯rst
and second OTA have the highest and lowest errors, respectively. This is attributed
to the fact that the voltage to current conversion of the ¯rst OTA depends on the
equivalent resistance of a MOS transistor while a passive resistor is used for the
second OTA; thus any variation in the MOS aspect ratio will a®ect the ¯rst OTA's
output current signi¯cantly.
100
101
102
103
104
105
106
107
108
109
−100
−95
−90
−85
−80
−75
−70
−65
−60
−55
−50
Frequency [Hz]
Gm
[dB
(A
/V)]
0.1250.250.3750.50.6250.750.825
Fig. 10. First programmable OTA's AC analysis magnitude response.
100
101
102
103
104
105
106
107
108
109
−140
−130
−120
−110
−100
−90
−80
−70
Frequency [Hz]
Gm
[dB
(A
/V)]
0.1250.250.3750.50.6250.750.825
Fig. 11. Second programmable OTA's AC analysis magnitude response.
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Table 1 contains the simulation results of the three proposed OTAs. The trans-
conductance gain, the third-order harmonic distortion at input voltage signal of
200mV amplitude with 1MHz frequency, input and output spectral noise density at
10MHz frequency are included in Table 1. A ¯gure of merit (FOM) for the proposed
OTAs is de¯ned as follows:
FOM ¼ f3-dB � jHD3jPower�Output noise
; ð10Þ
100
101
102
103
104
105
106
107
108
109
−140
−130
−120
−110
−100
−90
−80
−70
−60
Frequency [Hz]
Gm
[dB
(A
/V)]
0.1250.250.3750.50.6250.750.825
Fig. 12. Third programmable OTA's AC analysis magnitude response.
10 15 20 25 30 35 40−2.4
−2.2
−2
−1.8
−1.6
−1.4
−1.2
−1
−0.8x 10
−13
Temperature [C]
Iod
[A]
0.1250.250.3750.50.6250.750.875First
Fig. 13. Temperature e®ect on the programmable OTAs output current.
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where f3-dB is the 3-dB bandwidth in [MHz], HD3 is the third-order harmonic dis-
tortion in [dB], Power is the standby DC power consumption in [mW] and Out-
put noise is the output noise spectral density in [nV/pHz].
The third proposed OTA will have the highest average FOM among the three
OTAs for di®erent values of `�'. The third proposed OTA is used to realize a multi-
standard receiver baseband chain in the following section.
100
101
102
103
104
105
106
107
108
0
0.5
1
1.5
2
2.5
3
3.5x 10
−3
Frequency [Hz]
Iod
[A]
Fig. 14. Monte-Carlo simulation for the output current of the First OTA.
100
101
102
103
104
105
106
107
108
−1
−0.5
0
0.5
1
1.5
2
2.5
3x 10
−4
Frequency [Hz]
Iod
[A]
Fig. 15. Monte-Carlo simulation for the output current of the Second OTA.
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Table 1. Simulation results of the proposed OTAs.
Code word
Parameter `001' `010' `011' `100' `101' `110' `111'
Voltage conveying range [mV] �200Standby power
consumption [mW]
First 0.6
Second 0.9
Third 0.6
Trans-conductanceGain [�A/V]
First 0.39e3 0.78e3 1.2e3 1.6e3 1.9e3 2.3e3 2.6e3Second 40.6 80.7 119 160 196 235 272
Third 48.8 97 143 192 235 283 327
3-dB Bandwidth
[MHz]
First 56.9 53.7 39.8 43 30.6 29 26.3
Second 45.2 46.8 39.4 52.5 39.4 49 49.5
Third 50 50 39 50 39 50 50
HD3 [dB] First �50.5 �50.2 �48.6 �46.2 �48.8 �46.8 �47.7Second �54.7 �53.9 �52.8 �52.1 �51.1 �52 �52.4
Third �51.6 �51.7 �51.8 �51.6 �51 �50.9 �51.3
Input referred noise
spectral density [nV/pHz]
First 53 52 63.5 50.7 83 84 160
Second 872 420 395 183 243 153 140
Third 750 355 334 146 201 121 110
Output referred noisespectral density [nV/pHz]
First 425 441 560 494 628 612 656Second 417 408 513 375 526 446 472
Third 454 440 550 394 556 463 486
FOM [Joule�1:5] First 11.3 10.2 5.8 6.7 4 3.7 3.2
Second 6.6 6.9 4. 8.1 4.3 6.3 6.1
Third 9.5 9.8 6.1 10.9 6 9.2 8.8
100
101
102
103
104
105
106
107
108
−1
−0.5
0
0.5
1
1.5
2
2.5
3
3.5
4x 10
−4
Frequency [Hz]
Iod
[A]
Fig. 16. Monte-Carlo simulation for the output current of the Third OTA.
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3. OTA-Based Programmable Gain Ampli¯er
The proposed PGA is shown in Fig. 17. The circuit consists of two OTAs and two
grounded resistors. The PGA gain should vary from 0 to 35 dB.1 Thus, two ampli¯ers
are connected in cascade to obtain the required gain. The ¯rst and secondPGAhas the
same architecture. The transfer function of thePGA is given by the following equation:
Vout
Vin
¼ Gm1Gm2R21 : ð11Þ
The PGA given in Fig. 17 is simulated. The value of `R1' is set to be 12 times
greater than `R'. The value of `R' for the second and third OTA-based PGA is
selected to be 0.5 k�. The simulation is done while setting equal values to `�1' and
`�2' while varying them from 0.125 to 0.875. The OTA-based PGA simulation result
is shown in Fig. 18. The PGAs' DC gain, third-order harmonic distortions at input
Fig. 17. Programmable OTA-based PGA.
100
101
102
103
104
105
106
107
108
109
−140
−120
−100
−80
−60
−40
−20
0
20
40
Frequency [Hz]
Vou
t/V
in [
dB]
0.1250.250.3750.50.6250.750.875
Fig. 18. Programmable OTA-based PGA simulation results.
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voltage signal of 5mV amplitude and 1MHz frequency and input referred noise
density at 10MHz is given in Table 2. Comparison between the proposed PGA and
the work in Ref. 2 is given in Table 3.
4. OTA-Based Programmable Filter
The fourth-order LPF used in the multi-standard receiver baseband chain is a cas-
caded ¯lter of two second-order OTA-based Tow-Thomas ¯lter.15 The second-order
Tow-Thomas ¯lter is shown in Fig. 19. The ¯lters' transfer function, and the second-
order ¯lter's cuto® frequency, quality factor and DC gain are given by Eqs. (12)�(15), respectively.
Vout
Vin
¼Gm1Gm2
C1C2
S 2 þ S1
R1C1
þ Gm2Gm3
C1C2
0BB@
1CCA ; ð12Þ
!o ¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiGm2Gm3
C1C2
s; ð13Þ
Q ¼ R1
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiGm2Gm3C1
C2
s; ð14Þ
Vout
Vin
��������S¼0
¼ Gm1
Gm3
: ð15Þ
Table 3. Comparison between this PGA and previous work.
� Parameter � This work � Work in Ref. 2
Technology 90 nm 0.35�m
Voltage supply 1V 1.2V� DC gain �3.5 dB to 34.5 dB 0 dB to 39 dB
No. of control bits 6 10
Power consumption 1.2mW 0.36mW to 13.5mWInput referred noise density 36 nV/
pHz to 221 nV/
pHz 12 nV/
pHz to 40 nV/
pHz
Table 2. Programmable OTA-based PGA simulation results.
Code word
Parameter `001' `010' `011' `100' `101' `110' `111'
DC gain [dB] �3.5 12.9 17.8 25.6 28.7 31.9 34.5
HD3 [dB] �67.9 �61.3 �41.7 �55.9 �33.3 �46.1 �41.4
Input referred noise
spectral density [nV/pHz]
221 79.1 72 40.6 47.3 36.9 36
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As shown from the equations, the ¯lter's cuto® frequency can be programmed by
varying `Gm2' without a®ecting the ¯lter's DC gain. However, the quality factor of the
¯lter will vary with the cuto® frequency as well. Two cascaded ¯lters from the OTA-
based ¯lter given in Fig. 19 is simulated using the third proposedOTA.Themagnitude
response of the ¯lter is shown in Fig. 20. The value for `R1' is set to be equal to `R' and
Fig. 19. Programmable OTA-based Tow-Thomas ¯lter.
100
101
102
103
104
105
106
107
108
109
−450
−350
−250
−150
−50
50
Frequency [Hz]
Vou
t/V
in [
dB]
BTUMTSDVB−HWLAN
Fig. 20. Fourth-order programmable OTA-based LPF simulation result.
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`C2' is double the value of `C1'. The value of R is set to 2 k�. To cover all the cuto®
frequencies of the required standards two sets of capacitors are used. The ¯rst one for
BT/UMTS and the second set for DVB-H/WLAN. The value of `C1' is set to 5 pF and
2 pF for the BT/UMTS and DVB-H/WLAN standards, respectively.
Switching between the standards for the same capacitor set is done by varying
`�2' while `�1 and �3' are set to 0.875. Thus, the theoretical DC gain of the ¯lter is
0 dB for di®erent standards. The quality factor of the ¯lter varies with the value of
`�2'. The ¯lter simulation results are summarized in Table 4. The DC gain, cuto®
frequency, the output referred noise, third harmonic distortion and third-order inter-
modulation distortion at input voltage of 200mVpp amplitude with frequencies
0.9MHz and 0.8MHz for the LPF are given. Summary of the proposed LPF specs is
given in Table 5.
5. Multi-Standard Receiver Baseband Section
The complete multi-standard receiver baseband chain is simulated. The simulation
result is shown in Fig. 21. The power consumption of the receiver baseband chain is
6mW. Summary of the baseband section speci¯cations is given in Table 6. The DC
gain, third-order harmonic distortion at input voltage of 50�V amplitude at
0.9MHz, and the input referred noise at the cuto® frequency of the complete base-
band section are given in Table 6. The cuto® frequency is varied from 1MHz to
13.6MHz. The receiver baseband chain input referred noise density is minimal at the
highest gain settings. On the other hand, the third-order harmonic distortion of
the system is less than �51 dB for the lowest gain settings and less than �29 dB for
the highest gain settings.
Table 5. Summary of the proposed fourth-order LPF simulation results.
Parameter Simulation results using 90 nm technology and 1V supply voltage
Cuto® frequency 1MHz to 13.6MHz
No. of control bits 3Power consumption 3.6mW
Input referred noise density 2.6�V/pHz to 200 nV/
pHz
Table 4. Programmable OTA-based fourth-order LPF simulation results.
Standard
Parameter � BT � UMTS � DVB-H � WLAN
� Cuto® Frequency [MHz] 1 2 7 13.6
� DC Gain [dB] �12 �4.2 �4.2 �3
HD3 [dB] �44.9 �44.9 �46.2 �42.7
IM3 [dB] �35.4 �38.6 �44.6 �37.3Output Referred Noise [nV/
pHz] 418 350 245 255
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6. Conclusion
A multi-standard analog baseband receiver chain based on digitally programmable
OTAs is presented. The baseband chain is implemented using two programmable
ampli¯ers and a programmable baseband ¯lter and realized in 90 nm technology. The
programmable OTA is based on CCIIs and CDNs. Three di®erent architectures of
programmable OTAs are proposed, analyzed and compared. A FOM is de¯ned and
the OTA with the highest value is selected to build the receiver baseband chain. The
best OTA has a programmable 3-dB bandwidth ranging from 39MHz to 50MHz,
HD3 of about �50 dB, and input referred noise spectral density less than 0.75�V/pHz. The proposed programmable ampli¯ers has a gain ranging from �3.5 dB to
34.5 dB, HD3 less than �33 dB and input referred noise spectral density less than
0.22�V/pHz. The proposed programmable ¯lter has a cuto® frequency ranging from
1MHz to 13.6MHz, HD3 less than �42 dB and output referred noise spectral density
Table 6. Programmable OTA-based multi-standard receiver baseband chain simulation results.
Standard
BT UMTS DVB-H WLAN
Parameter Max Min Max Min Max Min Max Min
DC Gain [dB] 55.1 �13.1 63.2 �4.7 63.2 �4.6 64.4 �3
HD3 [dB] �42.1 �51.2 �31.7 �51.2 �30.9 �53.8 �29.8 �57.3
Input ReferredNoise [�V/
pHz]
0.051 3.26 0.042 1 0.036 0.925 0.036 0.594
100
101
102
103
104
105
106
107
108
109
−700
−600
−500
−400
−300
−200
−100
0
100
Frequency [Hz]
Vou
t/V
in [
dB]
BT−MaxBT−MinUMTS−MaxUMTS−MinDVB−MaxDVB−MinWLAN−MaxWLAN−Min
Fig. 21. Magnitude response of the proposed programmable OTA-based multi-standard receiver base-
band chain.
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less than 0.42�V/pHz. The total power consumption of the receiver baseband
chain is 6mW with tunable cuto® frequency ranges from 1MHz to 13.6MHz and DC
gain range of 68 dB. The input referred noise density of the receiver ranges from
42 nV/pHz to 1�V/
pHz.
References
1. S. D'Amico, A. Baschirotto, M. De Matteis, N. Ghittori, A. Vigna and P. Malcovati,A CMOS 5 nV
pHz 74-dB-gain-range 82-dB-DR multistandard baseband chain for
bluetooth, UMTS and WLAN, IEEE J. Solid-State Circuits 43 (2008) 1534�1541.2. S. D'Amico, V. Giannini and A. Baschirotto, A 4th-order active Gm-RC recon¯gurable
(UMTS/WLAN) ¯lter, IEEE J. Solid-State Circuits 41 (2006) 1630�1637.3. S. M. Fahmy, E. A. Soliman and S. A. Mahmoud, Sixth order baseband variable LPF
using new tunable operational ampli¯er, Int. Conf. Microelectronics (2009), pp. 34�37.4. S. A. Mahmoud, A gain/¯ltering interleaved baseband chain architectures for multi-
standard recon¯gurable receivers, J. Circuits, Syst. Comput. 21 (2012), 1250008.5. M. O. Shaker, S. A. Mahmoud and A. M. Soliman, New CMOS fully-di®erential trans-
conductor and application to fully-di®erential Gm-C ¯lters, ETRI J. 28 (2006) 175�181.6. S. Mahmoud, Digitally controlled CMOS balanced output transconductor and applica-
tion to variable gain ampli¯er and Gm-C ¯lter on ¯eld programmable analog array,J. Circuits, Syst. Comput. 14 (2005) 667�684.
7. S. A. Mahmoud and A. M. Soliman, New CMOS programmable balanced output trans-conductor and application to a mixed mode universal ¯lter suitable for VLSI, AnalogIntegr. Circuits Signal Process. 19 (1999) 241�254.
8. S. A. Mahmoud and A. M. Soliman, CMOS balanced output transconductor and appli-cations for analog VLSI, Microelectron. J. 30 (1999) 29�39.
9. S. A. Mahmoud and A. M. Soliman, New CMOS fully di®erential di®erence transcon-ductors and application to fully di®erential ¯lters for VLSI, Microelectron. J. 30 (1999)169�192.
10. S. A. Mahmoud and A. M. Soliman, A CMOS programmable balanced output trans-conductor for analog signal processing, Int. J. Electron. 82 (1997) 605�620.
11. A. Sedra and K. Smith, A second-generation current conveyor and its applications, IEEETrans. Circuit Theor. 17 (1970) 132�134.
12. K. Bult and G. Geelen, An inherently linear and compact MOST-only current divisiontechnique, IEEE J. Solid-State Circuits 27 (1992) 1730�1735.
13. S. A. Mahmoud and E. A. Soliman, Digitally programmable second generation currentconveyor based FPAA, Int. J. Circuits Theor. Appl. (2012), doi: 10.1002/cta.1826.
14. S. Mahmoud, M. Hashiesh and A. Soliman, Low-voltage digitally controlled fully di®er-ential current conveyor, IEEE Trans. Circuits Syst. I 52 (2005) 2055�2064.
15. J. Tow, Active RC ¯lters — a state space realization, Proc. IEEE (Lett.) 56 (1968)1137�1139.
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