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Dr. Vincent Chang (張文清) Lecture MOS Current Mirrors Vincent Chang Copyright © by Knowledge Master, Inc.

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Page 1: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Lecture MOS Current Mirrors

Vincent Chang

Copyright © by Knowledge Master, Inc.

Page 2: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Vincent Chang

Intro

• Basic circuit• DC & AC

Cascode

• Intuitive analysis

•MOS diode

Output resistance

• Evolution • Summary: BJT vs. MOS 

Dr. Vincent Chang (張文清)

Outline

Page 3: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Review

BJT current mirror

Page 4: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

BJT vs. MOS

MOS current mirrorBJT current mirror

Page 5: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

DC Analysis

Q2 saturation

Page 6: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

DC Analysis

Q2 saturation2

1 )(21

tGSnREF VVkI

22 )(

21

tGSnO VVkI

Page 7: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Current Transfer Ratio

1

2

n

n

REF

O

kk

II

Q2 saturation2

1 )(21

tGSnREF VVkI

22 )(

21

tGSnO VVkI

Page 8: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Current Transfer Ratio

1

2

)()(

LWLW

II

REF

O

Q2 saturation

1

2

n

n

REF

O

kk

II

Page 9: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Characteristic

Page 10: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Characteristic

Page 11: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Characteristic

Page 12: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Characteristic

Page 13: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Characteristic

Page 14: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

2oO

Oout r

IVR

Page 15: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Vincent Chang

Intro

• Basic circuit• DC & AC

Cascode

• Intuitive analysis

•MOS diode

Output resistance

• Evolution • Summary: BJT vs. MOS 

Dr. Vincent Chang (張文清)

Outline

Page 16: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

MOS Current Mirror

Basic current mirror

Page 17: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

MOS Current Mirror

Cascode current mirror Basic current mirror

Page 18: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

MOS Current Mirror

Cascode current mirror Basic current mirror

Page 19: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

42 ooout rrR

Page 20: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance (Wrong!)

42 ooout rrR

Page 21: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Cascode Current Mirror

MOS diode

Page 22: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Review: BJT Diode

Page 23: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Review: BJT Diode

Page 24: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Review: BJT Diode

Page 25: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

MOS Diode

Page 26: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

MOS Diode

Page 27: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

MOS Diode

Page 28: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

MOS Diode

Page 29: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

MOS Diode

Page 30: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Vincent Chang

Intro

• Basic circuit• DC & AC

Cascode

• Intuitive analysis

•MOS diode

Output resistance

• Evolution • Summary: BJT vs. MOS 

Dr. Vincent Chang (張文清)

Outline

Page 31: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Page 32: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Page 33: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Page 34: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Page 35: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Page 36: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Page 37: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Page 38: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Page 39: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

244 )1( ooout rrR

Page 40: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Yosemite National Park, California

Page 41: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Review—Output Resistance

BJT

)||()1( Eoout RrrR

Page 42: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Review

BJT

)||()1( Eoout RrrR

omrg

Page 43: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Summary—Output Resistance

BJT MOS

)||()1( Eoout RrrR Soout RrR )1( r

omrg omrg

Page 44: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Summary—Output Resistance

BJT MOS

)||()1( Eoout RrrR Soout RrR )1( r

omrg omrg

Page 45: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Resistance Reflection Rule (Take Note)

MOS

Soout RrR )1(

omrg

1244 )1( ooout rrR

Page 46: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

Soout RrR )1(

244 )1( ooout rrR

Page 47: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

244 )1( ooout rrR

Soout RrR )1(

Page 48: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

24424 oomooout rrgrrR

244 )1( ooout rrR

Soout RrR )1(

Page 49: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Resistance

24424 oomooout rrgrrR

)2( omoout rgrR

ooo rrr 42

Page 50: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Summary—Output Resistance (Take Note)

BJT MOS

)||()1( Eoout RrrR Soout RrR )1( r

omrg omrg

Page 51: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

SPICE Simulation

Page 52: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

SPICE Input File

Output Characteristics of MOS Cascode Current Mirror Circuit* circuit description *Vdd 1 0 DC 15VVo 4 0 DC 5VIref 1 2 DC 1mA* MOSFET model description M1 3 3 0 0 nmosfet L=10u W=100uM2 5 3 0 0 nmosfet L=10u W=100uM3 2 2 3 0 nmosfet L=10u W=100uM4 4 2 5 0 nmosfet L=10u W=100u.model nmosfet nmos (kp=20u Vto=+1V lambda=0.02)* analysis requests.OP.DC Vo 0V 15V 10mV* output requests.probe.end

Page 53: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Characteristic

Page 54: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Characteristic

M4 saturationM4 triode

Page 55: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Mode Analysis

Page 56: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Mode Analysis

Page 57: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Mode Analysis

Page 58: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Mode Analysis of M2

M2 saturationM2 triode

Page 59: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Mode Analysis of M4

M4 saturationM4 triode

Page 60: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Output Characteristic

M4 saturationM4 triode

Page 61: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Mode Analysis

M4 saturation

M2 triode

M4 triode

M2 saturation

Page 62: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

Mode Analysis

M4 saturation

M2 triode

M4 triode

M2 saturation

M4 triode

M2 sat

Page 63: 3 MOS Current Mirrors - UC Berkeley Extension Online …ucberkeleyext.com/documents/IC/X489/3_MOS Current … ·  · 2015-02-14Dr. Vincent Chang (張文清) SPICE Input File Output

Dr. Vincent Chang (張文清)

WARNING

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