Preface |
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xix | |
Chapter 1 Introduction |
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1 | (8) |
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6 | (3) |
Chapter 2 Transistor Concepts: MESFET, HEMT, and HBT |
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9 | (18) |
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9 | (1) |
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2.2 Evolution of FET Devices |
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9 | (5) |
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2.2.1 Field-Effect Transistors |
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9 | (4) |
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2.2.2 Heterojunction Bipolar Transistors |
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13 | (1) |
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2.3 Basic Device Structures and Functioning |
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14 | (10) |
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14 | (4) |
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18 | (3) |
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21 | (3) |
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24 | (1) |
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24 | (3) |
Chapter 3 Classification of Transistor Models |
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27 | (10) |
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27 | (1) |
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27 | (3) |
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3.2.1 Numerical Physical Models |
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28 | (1) |
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3.2.2 Analytical Physical Models |
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29 | (1) |
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30 | (1) |
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31 | (1) |
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32 | (1) |
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33 | (1) |
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3.5.2 X-Parameter-Based Models |
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33 | (1) |
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33 | (1) |
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34 | (3) |
Chapter 4 Classical Shockley Model and Enhanced Modifications |
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37 | (24) |
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37 | (1) |
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4.2 Long-Channel (Shockley) Model |
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37 | (7) |
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4.3 Experimental and Analytical v(E)-Characteristics |
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44 | (3) |
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4.4 Improved Shockley Model Including Carrier Velocity Saturation |
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47 | (1) |
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48 | (3) |
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4.6 Short-Channel Saturation Model |
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51 | (1) |
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4.7 Relationships between MESFET and HEMT DC Characteristics |
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52 | (4) |
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52 | (2) |
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4.7.2 Gate-Source Capacitance |
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54 | (2) |
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4.7.3 MESFET and HEMT Transconductance Comparison |
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56 | (1) |
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4.8 Problems and Solutions |
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56 | (3) |
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59 | (1) |
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59 | (2) |
Chapter 5 Extrinsic Transistor Network at DC |
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61 | (6) |
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61 | (1) |
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5.2 Intrinsic Control Voltages from Resistive Network De-Embedding |
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61 | (2) |
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5.3 Regridding of Nonorthogonal Intrinsic Voltages |
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63 | (1) |
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5.4 Regridding Issues with MATLAB® |
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64 | (2) |
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66 | (1) |
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66 | (1) |
Chapter 6 Estimation of Model Element Values Based on Device Physical Data |
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67 | (32) |
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67 | (1) |
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67 | (14) |
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6.2.1 Ohmic Contact Resistance |
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68 | (3) |
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71 | (2) |
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6.2.3 Gate Resistance, Gate Inductance |
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73 | (5) |
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6.2.4 Gate Charging Resistance |
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78 | (3) |
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81 | (5) |
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82 | (3) |
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6.3.2 Channel Conductance |
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85 | (1) |
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86 | (4) |
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6.4.1 Gate-Source Capacitance |
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86 | (1) |
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6.4.2 Gate-Drain Capacitance |
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87 | (2) |
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6.4.3 Drain-Source Capacitance |
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89 | (1) |
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90 | (1) |
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6.6 Contact and Interconnect Structures |
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90 | (5) |
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6.6.1 Device Contacting Pads |
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90 | (1) |
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6.6.2 Bondwire Inductance |
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91 | (2) |
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6.6.3 Via Hole Inductance |
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93 | (1) |
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93 | (1) |
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94 | (1) |
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95 | (1) |
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95 | (4) |
Chapter 7 Small-Signal Transistor Model Complexity |
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99 | (14) |
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99 | (1) |
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7.2 Small-Signal Transistor Operation |
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100 | (3) |
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7.2.1 Two-Port Y-Matrix Transistor Model |
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102 | (1) |
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7.2.2 Generic Extrinsic Transistor Pi-Model |
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102 | (1) |
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7.3 Transistor Model Complexity |
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103 | (7) |
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7.3.1 Small-Periphery Devices |
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105 | (2) |
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7.3.2 Large-Periphery Devices |
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107 | (1) |
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7.3.3 High-Resistivity Silicon Substrates |
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108 | (2) |
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110 | (1) |
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110 | (3) |
Chapter 8 Reliable Parameter Estimates from Low-Frequency Measurements |
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113 | (10) |
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113 | (1) |
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8.2 Determination of Generic Pi-Model Parameters |
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113 | (3) |
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8.2.1 Generic Transconductance and Output Conductance |
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113 | (2) |
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8.2.2 Generic Capacitances |
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115 | (1) |
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8.3 Relations between Generic and Physics-Based Parameters |
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116 | (1) |
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8.4 Approximate Determination of Physics-Based Intrinsic Elements from Generic Parameters |
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117 | (2) |
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8.4.1 Output Conductance Gds |
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117 | (1) |
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8.4.2 Transconductance Gm |
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118 | (1) |
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8.4.3 Gate-Source Capacitance Cgs |
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118 | (1) |
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8.4.4 Gate-Drain Capacitance Cgd |
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118 | (1) |
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8.4.5 Drain-Source Capacitance Cds |
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118 | (1) |
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8.5 Estimation of Physics-Based Parameters from Low-Frequency S-Parameters |
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119 | (2) |
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121 | (1) |
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121 | (2) |
Chapter 9 Static-/Pulsed-DC Measurements for the Analysis of Thermal and Trapping Effects |
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123 | (22) |
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9.1 Static-DC Measurements |
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123 | (3) |
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9.1.1 Principal DC IV Characteristics and Definitions |
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123 | (1) |
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9.1.2 Measured DC IV Characteristics |
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124 | (2) |
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9.1.3 Thermal Resistance from DC Measurements |
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126 | (1) |
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9.2 Pulsed-DC Measurements |
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126 | (8) |
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9.2.1 Implementation of Measurements |
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127 | (1) |
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9.2.2 Instability Stabilization Techniques |
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128 | (3) |
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9.2.3 Choice of Quiescent Bias Points |
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131 | (2) |
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9.2.4 Self-Heating Effects |
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133 | (1) |
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9.3 Thermal Resistance Extraction |
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134 | (2) |
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9.3.1 Pulsed-DC IV Isothermal Curves Overlapping |
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134 | (1) |
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9.3.2 Pulsed-DC IV and Static-DC Crossing |
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135 | (1) |
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136 | (2) |
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9.4.1 Thermal Time Constants |
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137 | (1) |
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9.4.2 Trapping Time Constants |
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138 | (1) |
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138 | (2) |
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140 | (1) |
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141 | (1) |
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141 | (4) |
Chapter 10 Vector Network Analyzer: Operation Principle and Error Models |
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145 | (12) |
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145 | (1) |
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10.2 Evolution of the Vector Network Analyzer |
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145 | (2) |
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10.3 Vector Network Analyzer Construction and Operation |
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147 | (3) |
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10.4 Error-Corrected Measurements |
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150 | (5) |
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153 | (1) |
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154 | (1) |
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155 | (1) |
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155 | (2) |
Chapter 11 Uncertainties in the Device Modeling Process |
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157 | (22) |
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157 | (1) |
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11.2 Definition of Measurement Terms |
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157 | (6) |
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157 | (2) |
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11.2.2 Measurement Errors |
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159 | (1) |
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11.2.3 System Calibration |
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160 | (1) |
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161 | (1) |
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161 | (1) |
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161 | (1) |
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161 | (1) |
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162 | (1) |
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162 | (1) |
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163 | (1) |
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11.3 Accurate Measurements: A Key Condition for Successful Device Modeling |
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163 | (10) |
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11.3.1 Importance of Diligent System Calibration |
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164 | (5) |
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11.3.2 Device Measurement Analysis Issues |
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169 | (2) |
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11.3.3 Choice of Model Topology Complexity |
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171 | (1) |
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11.3.4 Challenges in the Parameter Extraction Process |
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171 | (1) |
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11.3.5 Challenges of Consistency in Device Modeling |
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172 | (1) |
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11.3.6 Model Implementation into Circuit Simulator |
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173 | (1) |
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11.4 Extraction Strategy Recommendations |
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173 | (2) |
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11.4.1 Check of Measured Data |
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174 | (1) |
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11.4.2 Choice of Topology |
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174 | (1) |
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11.4.3 Choice of Extraction Algorithm |
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174 | (1) |
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175 | (1) |
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175 | (4) |
Chapter 12 Optimization Methods for Model Parameter Extraction |
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179 | (40) |
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179 | (1) |
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12.2 Local Minimum Problem |
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180 | (1) |
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12.3 Optimization Strategies |
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181 | (2) |
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183 | (5) |
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12.4.1 Steepest Descent Method |
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184 | (2) |
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186 | (1) |
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12.4.3 Davidon-Fletcher-Powell Method |
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187 | (1) |
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12.5 Nonlinear Least-Squares Data Fitting |
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188 | (3) |
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12.5.1 Gauss-Newton Method |
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188 | (2) |
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12.5.2 Levenberg-Marquardt Method |
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190 | (1) |
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12.6 Direct Search Methods |
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191 | (5) |
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191 | (1) |
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192 | (4) |
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196 | (14) |
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12.7.1 Multistart Methods |
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197 | (1) |
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198 | (2) |
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12.7.3 Simulated Annealing |
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200 | (4) |
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204 | (3) |
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207 | (3) |
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210 | (2) |
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212 | (1) |
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212 | (7) |
Chapter 13 Extraction Methods: An Overview |
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219 | (4) |
Chapter 14 All-at-once Model Parameter Extraction |
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223 | (14) |
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223 | (1) |
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14.2 Random Search Combined with Local Optimizer |
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223 | (6) |
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14.2.1 Measurement Bandwidth Variation |
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227 | (1) |
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14.2.2 Measurement Error Simulation |
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228 | (1) |
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14.3 Search Space Minimization |
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229 | (1) |
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14.4 Reduction of Optimization Variables |
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230 | (3) |
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14.4.1 Interrelation of Intrinsic and Extrinsic Model Elements |
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230 | (2) |
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14.4.2 Gate Resistance Allocation to the Intrinsic Elements |
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232 | (1) |
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14.5 Linear Relationship among Series Resistances |
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233 | (1) |
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234 | (2) |
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236 | (1) |
Chapter 15 Decomposition-Based Extraction Methods |
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237 | (16) |
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237 | (1) |
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15.2 Empirical Decomposition |
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237 | (3) |
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15.3 Automatic Decomposition Based on Sensitivity Analysis |
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240 | (11) |
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15.3.1 Principal-Component Sensitivity Analysis |
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241 | (1) |
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15.3.2 Sensitivity Analysis by Hessian Matrix Diagonalization |
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242 | (3) |
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15.3.3 Scaling of Variables for Condition Number Adjustment |
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245 | (1) |
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15.3.4 Decomposed Optimization in Transformed Model Space |
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245 | (1) |
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15.3.5 Decomposed Optimization of Individual Parameters |
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246 | (5) |
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251 | (1) |
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251 | (2) |
Chapter 16 Bidirectional Search Method |
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253 | (22) |
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253 | (1) |
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16.2 Bidirectional Search Strategy |
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254 | (2) |
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16.3 Definition of Object Function |
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256 | (3) |
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16.3.1 Extrinsic Data Fitting |
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257 | (1) |
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16.3.2 Intrinsic Data Fitting |
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257 | (2) |
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16.4 Bidirectional Search Operation |
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259 | (3) |
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16.4.1 Starting Vector Analysis at Pinch-off |
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260 | (1) |
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16.4.2 Default Starting Vector |
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261 | (1) |
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16.5 Multibias Extraction |
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262 | (9) |
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16.5.1 Three-Bias Measurement and Simulation |
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265 | (1) |
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16.5.2 Extracted Model Parameters |
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266 | (3) |
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16.5.3 Confidence Limits on Extracted Parameters |
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269 | (2) |
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16.6 Repeatibility and Reproducibility Confirmation Test |
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271 | (1) |
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272 | (1) |
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272 | (3) |
Chapter 17 Pure Analytical Model Parameter Extraction |
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275 | (20) |
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275 | (1) |
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17.2 Theoretical Analysis |
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276 | (12) |
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17.2.1 Determination of Extrinsic Capacitances and Inductances |
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278 | (6) |
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17.2.2 Conditioning of Equation System for the10-Element Model |
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284 | (2) |
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17.2.3 Iterative Determination of Intrinsic Model Elements |
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286 | (2) |
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17.3 Frequency Bandwidth Dependent Extraction Accuracy |
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288 | (1) |
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17.4 Simulated Measurement Error Dependent Extraction Accuracy |
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288 | (2) |
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17.5 Measurement-based Analytical Model Parameter Extraction |
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290 | (3) |
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293 | (1) |
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293 | (2) |
Chapter 18 Analytical Model Parameter Extraction Using Rational Functions |
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295 | (14) |
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295 | (1) |
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18.2 Rational Functions-based Model Parameter Extraction |
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296 | (10) |
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18.2.1 Least-Squares Approximation by Rational Functions |
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296 | (1) |
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18.2.2 Extrinsic and Intrinsic Y-Parameters |
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297 | (3) |
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18.2.3 Direct Model Parameter Extraction |
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300 | (4) |
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304 | (2) |
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18.3 Distributed Small-signal Model of HBT Device |
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306 | (1) |
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307 | (1) |
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308 | (1) |
Chapter 19 Repetitive Random Optimization and and Adaptive Search Space |
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309 | (16) |
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309 | (2) |
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311 | (7) |
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19.2.1 Effective Capacitances |
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311 | (3) |
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19.2.2 Effective Inductances |
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314 | (2) |
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19.2.3 Distributed Model Elements |
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316 | (2) |
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19.3 Adaptive Search Space Algorithm |
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318 | (1) |
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19.4 Results: Mathematical Versus Physics-based Solution |
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318 | (5) |
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323 | (1) |
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324 | (1) |
Chapter 20 Bias-Dependence of Source and Drain Resistances |
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325 | (18) |
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325 | (1) |
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20.2 Bias-Dependent Versus Bias-Independent Series Resistances |
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325 | (4) |
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20.3 Practical Experiences in the Extraction of Series Resistances of GaAs FETs |
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329 | (7) |
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20.3.1 Frequency Scanning Extraction Method |
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331 | (1) |
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20.3.2 Extracted Bias-Dependent Source Resistances |
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332 | (4) |
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20.4 Bias-Dependent Access Resistances in GaN HEMTs |
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336 | (2) |
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20.5 Frequency- and Temperature Dependence of Series Resistances |
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338 | (1) |
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339 | (1) |
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340 | (3) |
Chapter 21 Model Parameter Extraction with Measurement-Correlated Parameter Starting Values |
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343 | (60) |
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343 | (1) |
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21.2 Model Parameter Extraction Conditions |
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344 | (1) |
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21.2.1 Heuristically Defined Capacitance Ratio Values |
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344 | (13) |
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21.2.2 Reliable Determination of Capacitance Ratio Values from Top-View Device Images |
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346 | (5) |
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21.2.3 Definition of Pinch-Off Voltage |
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351 | (1) |
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21.2.4 Definition of Minimum Measurement Range |
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352 | (2) |
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21.2.5 Definition of Object Function |
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354 | (3) |
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21.3 Concept of Measurement-Correlated Starting Value Generation |
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357 | (7) |
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21.3.1 Description of the Extraction Algorithm |
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358 | (2) |
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21.3.2 Determination of Series Impedances at Pinch-Off |
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360 | (2) |
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362 | (2) |
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21.4 Estimation of Total Branch Capacitances from Low-frequency Measurements |
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364 | (1) |
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21.5 Estimation of Distributed Capacitances |
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365 | (4) |
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21.6 Estimation of Inductances by Linear Curve Fitting |
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369 | (1) |
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21.7 Closed-Form Analytical Determination of Inductances |
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369 | (7) |
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21.7.1 Measurement-like S-Parameters Based on VNA Uncertainty Specifications |
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372 | (2) |
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21.7.2 Validation of Inductance Determination Based on Noisy S-Parameters |
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374 | (2) |
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21.8 Estimation of Resistances |
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376 | (7) |
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21.8.1 Cold Pinch-Off Measurement |
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376 | (1) |
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21.8.2 Cold Forward Measurement |
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377 | (1) |
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21.8.3 Standard Cold Reverse Measurement |
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378 | (1) |
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21.8.4 Modified Cold Reverse Measurement |
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378 | (5) |
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21.9 Model Parameter Extraction with Measured S-Parameters |
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383 | (6) |
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21.9.1 Extraction Based on Linear Curve Fitting of Inductances |
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384 | (4) |
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21.9.2 Extraction Based on Analytical Determination of Inductances |
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388 | (1) |
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21.10 Determination of Intrinsic Model Parameters |
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389 | (5) |
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21.11 Small-Signal Model Verification |
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394 | (2) |
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396 | (2) |
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398 | (5) |
Chapter 22 Basics of Nonlinear FET Modeling |
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403 | (18) |
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22.1 Terms and Definitions |
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403 | (4) |
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22.1.1 Types of Model Elements in Equivalent Circuits |
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403 | (1) |
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22.1.2 Quasi-Static Assumption |
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404 | (1) |
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22.1.3 Definition of Voltages |
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405 | (1) |
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22.1.4 Modes of Operation |
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405 | (2) |
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22.2 Nonlinear Equivalent Circuit Elements |
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407 | (1) |
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22.3 Nonlinear Model Conductance |
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408 | (6) |
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22.3.1 Single-Controlled Model Conductance |
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408 | (4) |
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22.3.2 Multicontrolled Model Conductance |
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412 | (2) |
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22.4 Nonlinear Model Capacitance |
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414 | (5) |
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22.4.1 Single-Controlled Model Capacitance |
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414 | (3) |
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22.4.2 Multicontrolled Model Capacitance |
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417 | (2) |
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419 | (1) |
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419 | (2) |
Chapter 23 Non-Quasi-Static Transistor Model |
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421 | (32) |
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421 | (1) |
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23.2 Transistor Behavioral Model |
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422 | (3) |
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422 | (2) |
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23.2.2 Nonlinear Two-Port |
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424 | (1) |
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23.3 Quasi-Static Transistor Model |
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425 | (5) |
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23.3.1 Symmetric Equivalent Pi-Network |
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427 | (1) |
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23.3.2 Asymmetric Equivalent Pi-Network |
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428 | (2) |
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23.4 Dispersive Drain Current Model |
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430 | (7) |
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23.4.1 Drain Current Source With Bias-Dependent Conductances |
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431 | (4) |
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23.4.2 Gate Charging Resistance |
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435 | (2) |
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23.5 Electrothermal Drain Current Modeling |
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437 | (5) |
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23.5.1 Pulsed-DC Related Drain Current Model |
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438 | (1) |
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23.5.2 Transistor Thermal Model |
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439 | (3) |
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23.6 Extraction of Electrothermal Drain Current Model |
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442 | (5) |
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23.6.1 Extraction of Isothermal Drain Current and Trapping Correction Functions |
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443 | (1) |
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23.6.2 Extraction of Thermal Parameters fth and fp |
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444 | (3) |
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23.7 Extraction of Trapping and Thermal Time Constants |
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447 | (2) |
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449 | (1) |
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450 | (3) |
Chapter 24 Large-Signal Measurement Techniques for Device Characterization and Model Verification |
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453 | (48) |
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24.1 Overview of Large-Signal Measurement Methods |
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453 | (1) |
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24.2 Evolution of Combined Frequency-/Time-Domain Signal-Waveform Measurement |
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454 | (15) |
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24.2.1 Pure Signal Waveform Measurement |
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454 | (4) |
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24.2.2 Fundamental Active Load-Pull Measurement |
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|
458 | (5) |
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24.2.3 Harmonic Load-Pull Measurement with Electronic Tuner |
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|
463 | (6) |
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24.3 Overview of High-Power Wideband Source-/Load Pull Measurement Techniques |
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|
469 | (2) |
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24.3.1 Setup Costs for High-Power Large-Signal Measurements |
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|
469 | (1) |
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24.3.2 Advanced Signal Waveform Measurement Concepts for Wideband Applications |
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|
470 | (1) |
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24.4 High-Power Time-Domain Source-/Load-Pull Measurement Setups |
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|
471 | (10) |
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24.4.1 High-Power Harmonic Source-/Load-Pull System with Passive Envelope Tuning |
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|
471 | (1) |
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24.4.2 Issues Arising with Wideband Load-Pull Terminations |
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|
471 | (6) |
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24.4.3 100W Broadband Passive Harmonic and Envelope Source-/Load-Pull System |
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|
477 | (4) |
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24.5 High-Power Frequency-Domain IMD Measurement System Including Envelope Load-Pull |
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|
481 | (14) |
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24.5.1 System Description |
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|
481 | (1) |
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24.5.2 Envelope and RF Bias Networks |
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|
482 | (4) |
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24.5.3 Issues in IMD Measurement Arising with Setup Configuration |
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|
486 | (2) |
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24.5.4 System Calibration |
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|
488 | (3) |
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24.5.5 Pou,-PAE-IMD Load-Pull Optimization |
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|
491 | (2) |
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24.5.6 Sweet-Spot Measurement |
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493 | (2) |
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|
495 | (1) |
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|
496 | (5) |
Chapter 25 Popular Nonlinear FET Models: Capabilities and Limitations |
|
501 | (30) |
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25.1 Widely Used 15-Element Small-Signal Equivalent Circuit |
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|
502 | (5) |
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25.1.1 Extraction of Pad Capacitances Cpg and Cpd |
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|
503 | (1) |
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25.1.2 Extraction of Parasitic Resistances and Inductances |
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|
504 | (1) |
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25.1.3 Intrinsic Bias-Dependent Model Elements |
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|
504 | (3) |
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25.2 Popular Nonlinear FET Models |
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|
507 | (12) |
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25.2.1 Curtice Quadratic Nonlinear Model (1980) |
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|
507 | (1) |
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25.2.2 Curtice-Ettenberg Cubic Nonlinear Model (1985) |
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|
508 | (1) |
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25.2.3 Materka-Kacprzak Model (1983, 1985) |
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|
509 | (1) |
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25.2.4 Statz Model (1987) |
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|
510 | (3) |
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25.2.5 Angelov Model (1992/96) |
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|
513 | (2) |
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25.2.6 TOM Model (TriQuint Nonlinear Model) (1990) |
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|
515 | (1) |
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25.2.7 Tajima Model (1981/84) |
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|
516 | (1) |
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|
517 | (1) |
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25.2.9 TOPAS Model (1996) |
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|
518 | (1) |
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25.3 Model Implementation in Commercial Simulation Software |
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|
519 | (2) |
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25.3.1 Implementation of Analytical Models |
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|
519 | (2) |
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25.3.2 Implementation of Table-Based Models |
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|
521 | (1) |
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|
521 | (5) |
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25.4.1 Static-DC Simulations |
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|
521 | (2) |
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25.4.2 Pulsed-DC Simulations |
|
|
523 | (1) |
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25.4.3 Single-Tone Input Power Sweep |
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|
523 | (2) |
|
25.4.4 Two-Tone Input Power Sweep |
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|
525 | (1) |
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|
526 | (2) |
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|
528 | (3) |
Chapter 26 Nonlinear Transistor Model Verification |
|
531 | (10) |
|
26.1 Complete Large-Signal Device Model |
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|
533 | (1) |
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26.2 Model Implementation |
|
|
533 | (2) |
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26.3 Simulation and Comparison with Measured Device Data |
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|
535 | (4) |
|
26.3.1 Simulation of Bias-Dependent S-Parameters |
|
|
535 | (1) |
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26.3.2 Simulation of Pulsed-DC IV Characteristics |
|
|
536 | (1) |
|
26.3.3 Simulation of Single- and Two-Tone Device Response |
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|
537 | (2) |
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|
539 | (1) |
|
|
540 | (1) |
Appendix A Generic Two-Port Matrix Transistor Model |
|
541 | (2) |
Appendix B Direct Measurement of Series Resistances |
|
543 | (8) |
|
|
543 | (1) |
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B.2 DC Method after Williams |
|
|
543 | (1) |
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B.3 DC Method after Fukui |
|
|
544 | (3) |
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B.4 RF Method after Dambrine et al. |
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|
547 | (2) |
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B.5 Comparative Experimental Results |
|
|
549 | (1) |
|
|
550 | (1) |
Appendix C Parameter Extraction Relations for Inner FET Branch Topologies |
|
551 | (6) |
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|
551 | (2) |
|
|
553 | (1) |
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|
554 | (1) |
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C.4 R2-C Parallel Circuit Series-Connected to R1 |
|
|
554 | |
|
C.5 Voltage Controlled Current Source |
|
|
551 | (6) |
Appendix D Embedding the Intrinsic Model into an Extrinsic Network |
|
557 | (4) |
|
D.1 Embedding into an Impedance Network |
|
|
557 | (1) |
|
D.2 Embedding into an Admittance Network |
|
|
558 | (1) |
|
Appendix E Derivation of Riccati Equation |
|
|
559 | (2) |
Appendix F General N-Port and Two-Port Admitance Matrix |
|
561 | (4) |
About the Author |
|
565 | (2) |
Index |
|
567 | |