In 2006, he founded Canaan Microelectronics Corp Ltd , a fabless Canaan This includes the application of semidefinite programming to circuit design
CMOS VOLTAGE REFERENCES AN ANALYTICAL AND PRACTICAL PERSPECTIVE Chi-Wah Kok and Wing-Shan Tam Canaan Microelectronics Corporation Ltd, Hong Kong
CMOS VOLTAGE REFERENCES AN ANALYTICAL AND PRACTICAL PERSPECTIVE Chi-Wah Kok and Wing-Shan Tarn Canaan Microelectronics Corporation Ltd, Hong Kong
14 sept 2012 · c Canaan Microelectronics, Room 1604, Hart Avenue Plaza, 5-9 Hart Avenue, Tsim Sha Tsui, Kowloon, Hong Kong, China
BIRTH, LIFE, AND DEATH IN MICROELECTRONIC SYSTEMS by B Widrow W H Pierce J B Angell Technical Report No 1552-2/1851-1 May 30, 1961
Canaan Microelectronics Corp Ltd ** Department of Electronic Engineering, City University of Hong Kong, Kowloon Tong, Hong Kong
23 sept 2018 · Canaan Piotech Hangzhou Silan Microelectronics Its customers include SMIC, Huali Microelectronics, San'An, HC SemiTek,
This document is issued by Canaan Inc in connection with the [REDACTED] and the foundries (such as TSMC, GLOBALFOUNDRIES, United Microelectronics
b Canaan Microelectronics Corp Ltd , Hong Kong, China a r t i c l e i n f o Article history: Microelectronics Reliability 50 (2010) 1054–1061
3 Canaan Microelectronics, Hong Kong, China 4 Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong, China
b Canaan Microelectronics Corp Ltd , Hong Kong, China a r t i c l e i n f o Article history: Received 2 February 2010 Received in revised form 14 April 2010
REFERENCES AN ANALYTICAL AND PRACTICAL PERSPECTIVE Chi-Wah Kok and Wing-Shan Tarn Canaan Microelectronics Corporation Ltd, Hong Kong
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CMOSVOLTAGE
REFERENCES
ANANALYTICALANDPRACTICAL
PERSPECTIVE
Chi-WahKokand
Wing-Shan
Tarn
CanaanMicroelectronicsCorporationLtd,HongKong
IEEE
©WILEY
CONTENTS
AbouttheAuthorsix
Prefacexi
Acknowledgementsxiii
Nomenclaturexv
1Warm Up 1 1.1
Bipolar
JunctionTransistors2
1.1.1DifferentialVBE5
1.2Metal-OxideSemiconductorField-EffectTransistor7
1.2.1Cutoff
Region
11
1.2.2SubthresholdConduction11
1.2.3Triode
Region
14
1.2.4Saturation
Region
16
1.2.5Thermal
Properties
19
1.2.6Channel
Length
ModulationEffect23
1.3Diode23
1.4Resistor25
1.4.1 Dummy
Element27
1.4.2Guard
Ring 27
1.4.3SheetResistance27
1.5Device
Matching
28
1.5.1
Application
ofStatisticstoCircuit
Design
28
1.5.2
Systematic
Variation30
1.6SimulationModelsforCircuit
Design
31
1.6.1ProcessVariationand
TypicalDesign
32
1.6.2ProcessCorners34
1.7Noise
36
1.7.1 Types ofNoises36
1.7.2Sumsand
Multiplications
ofNoises38
1.8FabricationTechnology
39
1.9Book
Organization
40
1.10Exercises
42
References46
viContents 2
Voltage
Reference49
2.1PerformanceMeasures
49
2.1.1Line
Regulation
51
2.1.2
Temperature
Coefficient54
2.1.3Power
SupplyRejection
Ratio56
2.1.4QuiescentCurrent59
2.1.5
Output
Noise60
2.2Other
Design
Considerations62
2.3
Summary
63
2.4Exercises65
References70
3
BandgapVoltage
Reference71
3.1Widlar
BandgapVoltage
ReferenceCircuit71
3.2Drain
VoltageEqualization
CurrentMirror74
3.2.1 Opamp Based ft-MultiplierBandgapVoltage
ReferenceCircuit76
3.2.2
BandgapVoltage
ReferenceCircuit77
3.3MajorCircuitElements81
3.3.1
OperationalAmplifier
81
3.3.2CurrentMirror86
3.3.3
Startup
Circuit88
3.3.4ResistorNetwork93
3.3.5
Bipolar
Transistor94
3.4
CompleteLayout
95
3.5
Summary
95
3.6Exercises96
References101
4ErrorSourcesin
BandgapVoltage
ReferenceCircuit103
4.1Non-Ideal
Opamp 103
4.1.1 Input
Offset
Voltage
104
4.1.2LimitedGainandPower
SupplyRejection
Ratio112
4.1.3Noise113
4.2CurrentMirrorMismatch114
4.2.1Channel
Length
ModulationEffect
Compensation
116
4.2.2CascodeCurrentMirror117
4.3BipolarTransistor122
4.3.1SizeVariation122
4.3.2SeriesBaseResistance122
4.3.3 $
Variation
125
4.4
ResistorVariation126
4.5Power
Supply
Variation127
4.5.1
Pre-Regulation
132
4.6
OutputLoading
135
4.7
Output
Noise138
4.8
Voltage
ReferenceCircuit
Trimming
140
Contentsvii
4.8.1LinkedFuseResistor
Trimming
141
4.8.2
Resistor
Trimming
Circuit
Analysis
142
4.8.3Modulated
Trimming
146
4.8.4
Voltage
Domain
Trimming
148
4.8.5CurrentDomain
Trimming
149
4.9
Summary149
4.10Exercises
151
References161
ADVANCEDVOLTAGEREFERENCECIRCUITS
5
TemperatureCompensationTechniques
165
5.1
Vfi£
- A
VbeCompensation
166
5.1.1Brokaw
BandgapVoltage
Reference168
5.1.2 /J-MultiplierVBE - A
VBECompensation
170
5.2WidlarPTATCurrentSourceand
VbeCompensation
175
5.3 VGS Based
TemperatureCompensation
177
5.3.1VC5CurrentSource178
5.4
Summary
182
5.5Exercises183
References
189
6Sub-lV
Voltage
ReferenceCircuit191
6.1Sub-IV
OutputStage
193
6.2
Voltage
Headroomin
Opamp based /3-multiplierVoltage
ReferenceCircuit195
6.2.1 Opamp with NMOS
InputStage
197
6.2.2Local
VoltageBoosting
198
6.2.3Low
V",
Transistor198
6.2.4Bulk-DrivenTransistors199
6.3Sub-IV
BandgapVoltage
Reference
by
ResistiveDivision199
6.3.1ResistiveDividedVBE
202
6.3.2Independent
BiasedResistiveDividedVbe
206
6.4
Peaking
CurrentSourceand
VBeCompensation
209
6.5
Weighted
AVGsCompensation
211
6.6Summary
214
6.7Exercises
215
References
222
7 High
OrderCurvatureCorrection
223
7.1
Compensation
Order224
7.2SecondOrderTemperatureCompensation
228
7.2.1SecondOrderCurrentSource229
7.2.2CurrentSubtraction
232
7.2.3CurrentAddition
236
7.3BJTCurrentSubtraction
238
7.4PiecewiseLinear
Compensation
240
viiiContents
7.5SumandDifferenceofSourceswithSimilar
TemperatureDependence
243
7.5.1
Differenceof
Voltages
withSimilar
TemperatureDependence
244
7.5.2Sumof
Voltages
withInverted
TemperatureDependence
245
7.5.3Multi-threshold
Voltages
Curvature
CompensatedVoltage
Reference
247
7.6Summary
252
7.7Exercises
253
References
257
8 CMOS
Voltage
ReferencewithoutResistors259
8.1Generationof
Weighted
PTATSource
By
InverseFunctions260
8.1.1
Weighted
DifferentialCircuit260
8.1.2
NegativeImpedance
Converter262
8.2Resistorless
Voltage
andCurrentSources 265
8.2.1Resistorless
Voltage
Source265
8.2.2ResistorlessCurrentSource266
8.3FirstOrder
Compensated
Resistorless
BandgapVoltage
ReferenceCircuit268
8.3.1
Voltage
SummationBasedResistorlessReferenceCircuit269
8.3.2CurrentSummationBasedResistorlessReferenceCircuit270
8.4Resistorless
Sub-Bandgap
ReferenceCircuit270
8.4.1The
Voltage
Summation
Approach
271
8.4.2CTAT
Voltage
Reduction273
8.5
Summary
279
8.6Exercises280
References281
ASPICEModelFile
283
BSPICENetlistofVoltageReferenceCircuit287
Index289
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