BSIM3v3.2.2 MOSFET Model - The University of Texas at Dallas

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Extraction Procedureeffects. Regardless of device geometry, each device will have to bemeasured under four, distinct bias conditions.(1) I ds vs. V gs @ V ds = 0.05V with different V bs .(2) I ds vs. V ds @ V bs = 0V with different V gs .(3) I ds vs. V gs @ V ds = V dd with different V bs . (V dd is the maximum drainvoltage).(4) I ds vs. V ds @ V bs = V bb with different V gs . (|V bb | is the maximum bodybias).6.3.2 OptimizationThe optimization process recommended is a combination of Newton-Raphson's iteration and linear-squares fit of either one, two, or threevariables. This methodology was discussed by M. C. Jeng [18]. A flowchart of this optimization process is shown in Figure 6-2. The modelequation is first arranged in a form suitable for Newton-Raphson's iterationas shown in Eq. (6.3.1):(6.3.1)( m) ( m) ( m)∂f P P P f P P P sim fP P m ∂ fsim m ∂ fsim P sim mexp ( 10, 20,30) − ( 1 , 2 , 3 ) = ∆ 1 + ∆ 2 + ∆P3∂ 1 ∂ P2∂ P3The variable f sim () is the objective function to be optimized. The variablef exp () stands for the experimental data. P 10 , P 20, and P 30 represent thedesired extracted parameter values. P(m) 1 , P2(m)and P(m) 3 representparameter values after the mth iteration.6-4 BSIM3v3.2.2 Manual Copyright © 1999 UC Berkeley
Extraction ProcedureInitial Guess ofParameters PiModel EquationsMeasured DataLinear Least SqusreFit Routine∆ P i(m+1) (m)P = P + ∆ Pi i i∆ P iP i(m)< δnoSTOPyesFigure 6-2. Optimization flow.To change Eq. (6.3.1) into a form that a linear least-squares fit routine canbe used (i.e. in a form of y = a + bx1 + cx2), both sides of the Eq. (6.3.1)are divided by ∂f sim / ∂P 1 . This gives the change in P 1 , ∆P(m) 1 , for the nextiteration such that:BSIM3v3.2.2 Manual Copyright © 1999 UC Berkeley 6-5
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BSIM3v3.2.2 MOSFET ModelUsers’ Ma
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Table of ContentsCHAPTER 1: Introdu
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CHAPTER 6: Parameter Extraction 6-1
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APPENDIX C: References C-1APPENDIX
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CHAPTER 1: Introduction1.1 General
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Non-Uniform Doping and Small Channe
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Mobility Modelµeffµ=01 + ( E E )e
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Bulk Charge Effectµ eff Ev = , E <
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Strong Inversion Drain Current (Lin
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Strong Inversion Current and Output
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Subthreshold Drain CurrentV1 PSCBE2
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Effective Channel Length and Widthd
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Poly Gate Depletion EffectNgateFigu
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Poly Gate Depletion Effect1.00Tox=8
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Poly Gate Depletion EffectBSIM3v3.2
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Poly Gate Depletion Effect2-40 BSIM
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Unified Channel Charge Density Expr
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Unified Channel Charge Density Expr
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Unified Mobility Expression∆QVF(
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Unified Linear Current ExpressionI=
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Unified Vdsat ExpressionLet V ds =V
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Single Current Expression for All O
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KAPITEL 7RESULTAT OCH REKOMMENDATIO
Page 69 and 70: CHAPTER 4: Capacitance ModelingAccu
Page 71 and 72: Geometry Definition for C-V Modelin
Page 73 and 74: Methodology for Intrinsic Capacitan
Page 83 and 84: Charge-Thickness Capacitance Modelp
Page 85 and 86: Charge-Thickness Capacitance Modelw
Page 87 and 88: Extrinsic CapacitanceFigure 4-4 ill
Page 89 and 90: Extrinsic Capacitance2( V + δ ) 4
Page 91 and 92: CHAPTER 5: Non-Quasi Static Model5.
Page 93 and 94: Model FormulationFigure 5-1. Quasi-
Page 95 and 96: Model Formulationwhere elm is the E
Page 97 and 98: Model Formulationwhere i represents
Page 99 and 100: CHAPTER 6: Parameter ExtractionPara
Page 101 and 102: Extraction ProcedureWOrthogonal Set
Page 103 and 104: Extraction ProcedureInitial Guess o
Page 105 and 106: Extraction Procedureoptimization. (
Page 107 and 108: Extraction ProcedureStep 7Extracted
Page 109 and 110: Extraction ProcedureB0, B1Fitting T
Page 111 and 112: Extraction ProcedureStep 20Extracte
Page 113 and 114: Notes on Parameter Extraction6.4.2
Page 115 and 116: Notes on Parameter ExtractionnC-1.
Page 117 and 118: CHAPTER 6: Parameter ExtractionPara
Page 119: Extraction ProcedureWOrthogonal Set
Page 123 and 124: Extraction Procedureoptimization. (
Page 125 and 126: Extraction ProcedureStep 7Extracted
Page 127 and 128: Extraction ProcedureB0, B1Fitting T
Page 129 and 130: Extraction ProcedureStep 20Extracte
Page 131 and 132: Notes on Parameter Extraction6.4.2
Page 133 and 134: Notes on Parameter ExtractionnC-1.
Page 135 and 136: CHAPTER 7: Benchmark Test ResultsA
Page 137 and 138: Benchmark Test ResultsIds (A)1.E-02
Page 141 and 142: Benchmark Test Resultsgm/Ids (mho/A
Page 145 and 146: CHAPTER 8: Noise Modeling8.1 Flicke
Page 147 and 148: Flicker NoiseNlC=ox( V −V− min(
Page 149 and 150: Noise Model Flag8.3 Noise Model Fla
Page 151 and 152: CHAPTER 9: MOS Diode Modeling9.1 Di
Page 153 and 154: Diode IV ModelJssw= Js0sw⎛ E⎜
Page 155 and 156: MOS Diode Capacitance Model9.1.3 Mo
Page 157 and 158: MOS Diode Capacitance Model(9.18)Cj
Page 159 and 160: MOS Diode Capacitance Model(9.26)Cj
Page 161 and 162: MOS Diode Capacitance Model(9.32)
Page 163 and 164: APPENDIX A: Parameter ListA.1 Model
Page 165 and 166: DC ParametersSymbolsused inequation
Page 167 and 168: DC ParametersSymbolsused inequation
Page 169 and 170: C-V Model ParametersSymbolsused ine
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dW and dL ParametersA.5 dW and dL P
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Temperature ParametersSymbolsused i
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Process ParametersSymbolsused inequ
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Model Parameter NotesK2( γ1−γ)(
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Model Parameter NotesCgdo = dlc * C
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APPENDIX B: Equation ListB.1 I-V Mo
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I-V ModelC C V C V D L effDL effdsc
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I-V ModelEsatsat= 2νµ effB.1.5 Ef
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I-V ModelB.1.8 Polysilicon Depletio
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Capacitance Model EquationsTRdsw( T
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Capacitance Model EquationsB.2.2.2
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Capacitance Model EquationsQ inv= 0
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Capacitance Model Equationsif (V ds
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Capacitance Model Equations⎡Q W L
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Capacitance Model EquationsVgsteff
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Capacitance Model Equations(i) 50/5
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Capacitance Model EquationsAbulk0
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Capacitance Model Equations(3) capM
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Capacitance Model EquationsδQsub=
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APPENDIX C: References[1] G.S. Gild
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[18] M.C. Jeng, "Design and Modelin
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[35] K.K. Hung et al, “A Physics-
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APPENDIX D: Model Parameter Binning
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DC ParametersSymbolsused inequation
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DC ParametersSymbolsused inequation
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AC and Capacitance ParametersD.3 AC
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NQS ParametersD.4 NQS ParametersSym
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Temperature ParametersD.6 Temperatu
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Process ParametersSymbolsused inequ
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