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![Page 1: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/1.jpg)
Willy Sansen 10-05 081
Fully-differential amplifiers
Willy Sansen
KULeuven, ESAT-MICASLeuven, Belgium
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Willy Sansen 10-05 082
Table of contents
• Requirements• Fully-diff. amps with linear MOSTs• FDA’s with error amp.& source followers• Folded cascode OTA without SF’s• Other fully-differential amps• Exercise
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Willy Sansen 10-05 083
Single-stage OTA
VDD
VSS
M1 M2
M3 M4
+-
VDD
VSS
vOUT
M1 M2
M3 M4
+-
- -+
iCirc iCirc
VB1
VB2
VB1
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Willy Sansen 10-05 084
Simple CMOS fully-differential OTA
12
3
VDD
VSS
vOUT+
CL
M1 M2
M3 M4
M5
CL
GBW =gm1
2π CL
Differential pairNo current mirror
vIN+ vIN-
vOUT-Problem:
keep M1-4 in saturation:
Control VOUTCOMControl IDS5
VB1
VB2
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Willy Sansen 10-05 085
Simple CMOS fully-diff. OTA with CMFB - 1
12
3
VDD
VSS
vOUT+
CL
M1 M2
M3 M4
M5
CL
vIN+ vIN-
vOUT-
Control VOUTCOM, IDS5
IBVB
2
4
5
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Willy Sansen 10-05 086
Simple CMOS fully-diff. OTA withy CMFB - 2
12
3
VDD
VSS
vOUT+
CL
M1 M2
M3 M4
M5
CL
vIN+ vIN-
vOUT-
Control VOUTCOM, IDS5
2VB
4
5
B2 : 1
![Page 7: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/7.jpg)
Willy Sansen 10-05 087
Common-mode feedback equivalent circuit
12
3
VDD
VSS
vOUTCM
CL
M1,2
M3,4
M5
vINCM
Control VOUTCOM, IDS5
2VB
4
5
M5,6
1 : B1
B2 : 1
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Willy Sansen 10-05 088
Common-mode feedback CMFB
Avind+
- +- +
-+
CL
voutd
CL
Ad Acvinc
CMFB in unity gain : CMRR = AvCM
Three tasks : 1. Measure the output voltages2. Cancel out the differential signals3. Close the CMFB loop
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Willy Sansen 10-05 089
Requirements fully-differential amplifiers
• High speed : GBWCM > GBWDM
• Matching
• Output swing limited by :
• Output swing of differential-mode amp
• Input range of common-mode amp
• Low power PCM < PDM
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Willy Sansen 10-05 0810
Load capacitance ?
-vIN CM
+Gm
CS CL
CF
Gm
CS
CF
+
-vOUT
CF CF
CS CS
+
-
-
+
+
+-
-
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Willy Sansen 10-05 0811
Load capacitance CIN
vIN CM
CL
CF
CS+
-vOUT
CF
CS
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Willy Sansen 10-05 0812
Load capacitance CINDM
vINDM CM
CL
CF
CS+
-vOUT
CF
CS
CINDM = CM +CF + CL + CS
2
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Willy Sansen 10-05 0813
Load capacitance CINCM
vINCM CM
CL
CF
CS+
-vOUT
CF
CS
CINCM = 2 (CF + CL + CS) > CINDM
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Willy Sansen 10-05 0814
GBWDM & GBWCM
GBWDM =gm
2π 2CL
vOUT-
CL
+-
IBv v
vOUT+R R
vOUT-2CL
+-
IBv v
vOUT+
R R 2CL
CLCM = 0 CLCM = 4 CL
GBWDM =gm
2π 2CL
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Willy Sansen 10-05 0815
Table of contents
• Requirements• Fully-diff. amps with linear MOSTs• FDA’s with error amp.& source followers• Folded cascode OTA without SF’s• Other fully-differential amps• Exercise
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Willy Sansen 10-05 0816
CMFB amplifier with linear MOSTs
CL
+ -M1
M3
M2
VDD
VSS
Vr1
Linear MOSTs:VDS3 ≈ 200 mV
GBWDM =gm1
2π CL
CL
GBWCM = gm3
2π CL
is always smaller !
IDS = β VDS(VGS-VT) gm3 = β VDS3
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Willy Sansen 10-05 0817
Fully-differential amp. with linear MOSTs
CL+ -
B : 2 : B
M1
M2 M3
M4
M6
M5VDD
VSS1 : BB : 1
Vbias
Linear MOSTs:VDS5 ≈ 200 mV
Cancel diff. signals
GBWDM = Bgm1
2π CL
CL
GBWCM = gm5
2π CL
is always smaller !even with M5 in wi !
M5 M7
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Willy Sansen 10-05 0818
Fully-differential amp. with linear MOSTs
Ref. Choi, JSSC, Dec.83, 652-653
Linear MOSTs:VDS3 ≈ 200 mV
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Willy Sansen 10-05 0819
Total amplifier schematic
E.Peeters etal, CICC 1997
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Willy Sansen 10-05 0820
Fully-differential OTA with FF
850 MHz1.2 µm CMOS
F. Op’t Eynde, Kluwer Ac. 1993
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Willy Sansen 10-05 0821
Transconductor with CDG compen.
VDS1 = RDID ≈ 0.2 V
IDS1 = β1VDS1(VGS1-VT)
gm1 = β1VDS1 is constant
Ref. Alini, JSSC, Dec.92, pp.1905-1915
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Willy Sansen 10-05 0822
Table of contents
• Requirements• Fully-diff. amps with linear MOSTs• FDA’s with error amp.& source followers• Folded cascode OTA without SF’s• Other fully-differential amps• Exercise
![Page 23: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/23.jpg)
Willy Sansen 10-05 0823
Fully-differential amplifier with resistive CMFB
M2
vin1 vin2vo1 vo2
M1 M1
IB
R R
Av = gm1 (R // ro )
ro = ro1//ro2
Linear resistors RTo cancel differential signals
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Willy Sansen 10-05 0824
Fully-diff. amp. with source followers: Diff. mode
Ref. Banu, JSSC, Dec.88, 1410-1414
GBWDM =
gm1
2π CL
CL= 4 pF
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Willy Sansen 10-05 0825
Fully-diff. amp. with source followers: CM
Ref. Banu, JSSC, Dec.88, 1410-1414
GBWCM = gm6
4π CL
fndCM =
42πRa(CGS6+Ca)
Ra
Ca
12πRaCa
fz =
![Page 26: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/26.jpg)
Willy Sansen 10-05 0826
Table of contents
• Requirements• Fully-diff. amps with linear MOSTs• FDA’s with error amp.& source followers• Folded cascode OTA without SF’s• Other fully-differential amps• Exercise
![Page 27: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/27.jpg)
Willy Sansen 10-05 0827
Fully-diff amp. with error amplifier: Diff. mode
Ref. Ribner, CICC 85; Haspeslagh, CICC 88
GBWDM = gm1
2π Cc
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Willy Sansen 10-05 0828
Fully-diff amp. with error amp. : Common mode
Ref. Ribner, CICC 85; Haspeslagh, CICC 88
GBWCM = gm58
4π Cc
Nonlinear !
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Willy Sansen 10-05 0829
Class AB fully-differential amplifier
Ref. Lee, JSSC Dec.85, 1103-1113
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Willy Sansen 10-05 0830
Comparison
Criterion Linear Error amp Error amp.MOST Source foll. Quad amp.
GBWCM/GBWDM < 0.1 > 1 > 1
Required tol. < 1 % < 6 % < 6 %
Diff.output swing 0.8 VDDSS 0.4 VDDSS 0.4 VDDSSIs limited by cascodes source foll. cm input
Power dissipation 1 amp 3 amps 2 amps
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Willy Sansen 10-05 0831
Table of contents
• Requirements• Fully-diff. amps with linear MOSTs• FDA’s with error amp.& source followers• Folded cascode OTA without SF’s• Other fully-differential amps• Exercise
![Page 32: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/32.jpg)
Willy Sansen 10-05 0832
Fully-differential amplifier with gain boosting
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Willy Sansen 10-05 0833
Low-voltage (1.1 V) DIDO
Gata, JSSC Dec.021670-1678
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Willy Sansen 10-05 0834
Linear CM amplifier
Ref. Hernandez, JSSC Aug.05, 1610-1617
VoutCM = VDC + VGS7
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Willy Sansen 10-05 0835
Fully-diff.amp. with separate linear trans.CMFB
24 MHz/ 3 pF 3 V/ 5 mA IDS1 = 0.25 mA Comp 4 kΩ/ 2 pF > 20 MHz
Linear MOSTs
Av = 0.3
Ref. Pasch, AICSP, 2000
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Willy Sansen 10-05 0836
CMFB over 2 or more amplifiers
-vIN CM
+CL1
vOUT1
+
-
-
+
+
-
-
+CM vOUT2
CL1
CL2
CL2
Efficient use of 2nd amplifier !Ref. Mohieldin, JSSC April 2003, 663-668
vCM
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Willy Sansen 10-05 0837
CMFB over 2 pseudo-differential amps
CL+ -
B : 1
M1
M2
CL-
M3
M5
1 : B
vCM
+
vCM
M4
M6M7
![Page 38: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/38.jpg)
Willy Sansen 10-05 0838
Fully-differential amplifier with SC CMFB
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Willy Sansen 10-05 0839
Fully-differential amp. with SC CMFB : Φ1
Switches φ1H closedgives CMFBandprecharge C
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Willy Sansen 10-05 0840
Fully-differential amp. with SC CMFB : Φ2
Switches φ2H closedgives CMFBandprecharge C
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Willy Sansen 10-05 0841
Table of contents
• Requirements• Fully-diff. amps with linear MOSTs• FDA’s with error amp.& source followers• Folded cascode OTA without SF’s• Other fully-differential amps• Exercise
![Page 42: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/42.jpg)
Willy Sansen 10-05 0842
Fully-differental folded cascode with source foll.
IB1
IB2
Vr2
Vr1 Vr1CLCL
RaRa
+ -
+-
1 : 1 1
M1
M2
M3
M4
M6
M5
M7
M4
3
1
2
4
VDD
VSS
M4
M3
M5
M6
2
1
55
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Willy Sansen 10-05 0843
Fully-diff. amp. : Specifications
Techn: CMOS Lmin = 0.8 µm ; VT = 0.7 VK'n = 60 µA/V2 & K'p = 30 µA/V2
VEn = 4 V/µm & VEp = 6 V/µm
Specs: GBWDM = 10 MHz CL = 3 pF GBWCM = 20 MHzall PM > 70o
VDD/VSS = ± 1.5 VMaximum Vswingptp = Voutmax - VoutminMinimum Itot
Verify: Slew Rate, Noise, ...
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Willy Sansen 10-05 0844
Fully-diff. folded cascode in BICMOS
IB1
IB2
Vr2
Vr1 Vr1CLCL
RaRa
+ -
+-
1 : 1 1
M1
M2
M3
M4
M6
M5
M7
M4
3
1
2
4
VDD
VSS
M4
M3
M5
M6
2
1
55
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Willy Sansen 10-05 0845
Fully-diff. amp. : Specifications
Techn: BICMOS Lmin = 0.8 µm ; VT = 0.7 VK'n = 60 µA/V2 & K'p = 30 µA/V2
VEn = 4 V/µm & VEp = 6 V/µmfTn = 12 GHz & fTp = 4 GHz
Specs: GBWDM = 10 MHz CL = 3 pF GBWCM = 20 MHzall PM > 70o
VDD/VSS = ± 1.5 VMaximum Vswingptp = Voutmax - VoutminMinimum Itot
Verify: Slew Rate, Noise, ...
![Page 46: Chapter_08.pdf](https://reader034.fdocuments.in/reader034/viewer/2022042516/55cf96e4550346d0338e7cdf/html5/thumbnails/46.jpg)
Willy Sansen 10-05 0846
Table of contents
• Requirements• Fully-diff. amps with linear MOSTs• FDA’s with error amp.& source followers• Folded cascode OTA without SF’s• Other fully-differential amps• Exercise