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5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 1/43

5. Low-Power OpAmps

Francesc Serra Graells

francesc.serra.graells@uab.catDepartament de Microelectrònica i Sistemes Electrònics

Universitat Autònoma de Barcelona

paco.serra@imb-cnm.csic.esIntegrated Circuits and Systems

IMB-CNM(CSIC)

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 2/43

Low-Voltage vs Low-Current1

Subthreshold Operation2

Class-AB Output Stages3

Rail-to-Rail Topologies4

Inverter-Based Pseudo-DifferentialMulti-Stages Architectures

5

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 3/43

Low-Voltage vs Low-Current1

Subthreshold Operation2

Class-AB Output Stages3

Rail-to-Rail Topologies4

Inverter-Based Pseudo-DifferentialMulti-Stages Architectures

5

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 4/43

Low-Voltage vs Low-Current

OpAmp overall power consumption:

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 5/43

Low-Voltage vs Low-Current

OpAmp overall power consumption:

Low-voltage circuit techniques:Rail-to-rail

Alternative supply sources(battery, solar cell, scavenging)Poor power scaling

Limited by technology

Inverter-basedSupply multipliersBack gate ...

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 6/43

Low-Voltage vs Low-Current

OpAmp overall power consumption:

Low-voltage circuit techniques:Rail-to-rail

Alternative supply sources(battery, solar cell, scavenging)Poor power scaling

Limited by technology

Inverter-basedSupply multipliersBack gate ...

Low-current circuit techniques:Subthreshold

Strong power savings

Limited by noise and bandwidth

Class-ABDynamic biasingDuty cycle ...

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 7/43

Low-Voltage vs Low-Current

OpAmp overall power consumption:

Low-voltage circuit techniques:Rail-to-rail

Alternative supply sources(battery, solar cell, scavenging)Poor power scaling

Limited by technology

Inverter-basedSupply multipliersBack gate ...

Low-current circuit techniques:Subthreshold

Strong power savings

Limited by noise and bandwidth

Class-ABDynamic biasingDuty cycle ...

Conflicts can arise between low-current and low-voltagedesign techniques!

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 8/43

Low-Voltage vs Low-Current1

Subthreshold Operation2

Class-AB Output Stages3

Rail-to-Rail Topologies4

Inverter-Based Pseudo-DifferentialMulti-Stages Architectures

5

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 9/43

Optimizing MOSFET Biasing

Each transistor has its own purposeand requirements!

M1

M7

M2

M8

M4

M5

M6M3e.g. single-endedtwo-stage Miller

OpAmp

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 10/43

Optimizing MOSFET Biasing

Each transistor has its own purposeand requirements!

M1

M7

M2

M8

M4

M5

M6M3e.g. single-endedtwo-stage Miller

OpAmp

good currentmatching

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 11/43

Optimizing MOSFET Biasing

Each transistor has its own purposeand requirements!

M1

M7

M2

M8

M4

M5

M6M3e.g. single-endedtwo-stage Miller

OpAmp

good currentmatching

goodtransconductance

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 12/43

Optimizing MOSFET Biasing

Each transistor has its own purposeand requirements!

M1

M7

M2

M8

M4

M5

M6M3e.g. single-endedtwo-stage Miller

OpAmp

good currentmatching

goodtransconductance

Strong inversionModerate

Weak

Leakage

Forward saturation example(neglecting CLM):

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 13/43

Optimizing MOSFET Biasing

Each transistor has its own purposeand requirements!

Individual operating point selectionby sizing + biasing:

IC-based circuit design:IC>>1 e.g. good current matching

IC<<1 e.g. translinear ex functionsIC~1 optimized transconductance/power

M1

M7

M2

M8

M4

M5

M6M3e.g. single-endedtwo-stage Miller

OpAmp

good currentmatching

goodtransconductance Strong

inversion

Moderate

Weak

inversioncoefficient

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 14/43

Specific Current Generator

IS-based current reference:

By using Ibias for biasing circuits,IC selection is independentfrom technology

proportional toabsolute temperature

(PTAT)

http://dx.doi.org/10.1109/JSSC.2002.806258F. Serra-Graells et al., Sub-1V CMOS Proportional-To-Absolute-Temperature References, IEEE Journal of Solid-State Circuits, 38:1(84-8), Jan 2003

Vptat

MIbias

M3

M1 M2

M5

P 1

1M

M6

M41

N

M71

Ibias Ibias

Vbias weak inversion sat.strong inversion sat.strong inversion cond.

PTATvoltage

IS-basedcurrent

Neglecting CLM

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 15/43

Specific Current Generator

IS-based current reference:

By using Ibias for biasing circuits,IC selection is independentfrom technology

http://dx.doi.org/10.1109/JSSC.2002.806258F. Serra-Graells et al., Sub-1V CMOS Proportional-To-Absolute-Temperature References, IEEE Journal of Solid-State Circuits, 38:1(84-8), Jan 2003

Vptat

MIbias

M3

M1 M2

M5

P 1

1M

M6

M41

N

M71

M8X

M9Y

Vref

XIbias Ibias Ibias

Vbias weak inversion sat.strong inversion sat.strong inversion cond.

As a side effect, temperaturecompensated voltage referencescan be also obtained:

PTATvoltage

IS-basedcurrent

thermalcompensated

voltage

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 16/43

Low-Voltage vs Low-Current1

Subthreshold Operation2

Class-AB Output Stages3

Rail-to-Rail Topologies4

Inverter-Based Pseudo-DifferentialMulti-Stages Architectures

5

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 17/43

Output Operation Class

OpAmp power investment:

noiseperformance

drivingcapability

Output stage operation modes:

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 18/43

Output Operation Class

OpAmp power investment:

Class-A

noiseperformance

drivingcapability

Output stage operation modes:

Class-B

Class-AB Class-C

Class-DClass-E/F

Class-G/H

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 19/43

Basic CMOS Topologies

Inverter-like stage: Push-pull type stage:

MP

MN MP

MN

Class-ABmodulation

index

MN and MPstatic bias current

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 20/43

Basic CMOS Topologies

Inverter-like stage: Push-pull type stage:

MP

MN MP

MN

Class-ABmodulation

index

High voltage gain

Intrinsic high output impedance (1/gmd)

Suitable for capacitive loads only

Optimized full-scale

Unity voltage gain

Intrinsic low output impedance (1/gms)

Suitable for any type of load impedance

Reduced full-scale

Biasing circuitry to control Ibias against PVT (CMOS process,supply voltage and temperature) corners and to reach highClass-AB m-values?

MN and MPstatic bias current

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 21/43

Class-AB Stage Examples

Translinear loops:

M3

M2

M4

M5

M1

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 22/43

Class-AB Stage Examples

Translinear loops:weak inversion sat.

M3

M2

M4

M5

M1

CW

CCW

strong inversion sat.

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 23/43

Class-AB Stage Examples

Translinear loops:weak inversion sat.

M3

M2

M4

M5

M1

CW

CCW

strong inversion sat.

M4

M1

M10

M8

M9

M7

M5

M2 M3

M6

High supply voltagetypically required...

inverterbasedversion

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 24/43

Class-AB Stage Examples

Class-A + dynamic biasing:

M3 M2

M1

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 25/43

Class-AB Stage Examples

Class-A + dynamic biasing:

Area overhead

highvalue

M3 M2

M1

Noise excess from biasing

discrete time(e.g. SC OpAmps)

continuous time(e.g. RC OpAmps)

M3 M2

M1

M2

M1

DCresponse

ACresponse

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 26/43

Class-AB Stage Examples

Telescopic topologies:

M4

M6

M5

Asymmetricaldifferential pairs

M1

M3

M2

Output range

M1

M3

M2

Constantvoltage bias so

PVT compensatedby symmetry...

M1M2

Classicdifferential pair

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 27/43

Class-AB Stage Examples

Telescopic topologies:

M4

M6

M5

Asymmetricaldifferential pairs

M1

M3

M2

Output range

Half-circuit analysisfor strong inversion

saturation

Full-circuit analysisfor M1=M2

Classicdiff. pair

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 28/43

Low-Voltage vs Low-Current1

Subthreshold Operation2

Class-AB Output Stages3

Rail-to-Rail Topologies4

Inverter-Based Pseudo-DifferentialMulti-Stages Architectures

5

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 29/43

Why Rail-to-Rail?

Optimization of signalfull-scale (VFS) andprobably dynamic range (DR)

inverter-likestage

Required by CMFBin fully differentialsignal processing

MP

MN

Compatibility withlow supply voltages(e.g. battery-powered,energy scavenging)

Necessary at OpAmp input?

Already availableat OpAmp outputwhen no cascodeis used:

Required for certainfeedback configurations!

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 30/43

OpAmp Input Transconductance

Overall gain performance:

Input transconductor for rial-to-rail?

NMOSdifferential

pair

inputtransconductance

outputresistance

PMOSdifferential

pair

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 31/43

OpAmp Input Transconductance

Overall gain performance:

Input transconductor for rial-to-rail?

Complementary differential pair

NMOSdifferential

pair

inputtransconductance

outputresistance

PMOSdifferential

pair

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 32/43

OpAmp Input Transconductance

Overall gain performance:

Non-constant transconductance (gain):

Complementary differential pair

inputtransconductance

outputresistance

NMOS

PMOS

N+PMOS

Specific OpAmpbiasing techniquesare requiredfor rail-to-railcomplementarydifferential pairs

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 33/43

3-Times Current Mirror

Complementary differential pairraw input transconductance:

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 34/43

3-Times Current Mirror

Complementary differential pairraw input transconductance:

Equalization in strong inversion:

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 35/43

3-Times Current Mirror

Equalization in strong inversion:

1 3

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 36/43

3-Times Current Mirror

Non-exact solution

Compact bias control

Equalization in strong inversion:

not truly on/offoperation

1 3

3 1

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based 37/43

Current Switch

Transconductance equalizationsensitivity to referencevoltage

Compact bias control

Equalization in weak inversion:

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

38/43Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based

Low-Voltage vs Low-Current1

Subthreshold Operation2

Class-AB Output Stages3

Rail-to-Rail Topologies4

Inverter-Based Pseudo-DifferentialMulti-Stages Architectures

5

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

39/43Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based

Cascade vs Cascode

Low supply voltageby avoiding cascodingcircuit structures cascode

amplifier

M1

M2

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

40/43Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based

Cascade vs Cascode

Low supply voltageby avoiding cascodingcircuit structures cascode

amplifier

Increase in powerconsumption

OpAmp gain dropmay be compensatedby multistage topologies M1

M2

Multipole frequencycompensation can betricky!

inverteramplifier

M1 M2

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

41/43Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based

3-Stage Nested Miller OTA

Inverter as transconductancebasic building block

M1 M3M2

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

42/43Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based

3-Stage Nested Miller OTA

Inverter as transconductancebasic building block

Increase in powerconsumption

Phase marginsave design

Bandwidth reduction

M1 M3M2

0

1

2

3

4

5

6

7

8

9

10

0 1 2 3 4 5 6 7 8 9 10

5. Low-Power OpAmps

Design of Analog and Mixed Integrated Circuits and Systems F. Serra Graells

43/43Intro Subthreshold Class-AB Rail-to-Rail Inverter-Based

Nested Gm-C Compensation

Combination of nested loops involving:Positive/negative transconductors

Miller compensation capacitors

e.g. 3-stage OTA

Pseudo-differential structures:

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