Preface |
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1 | (16) |
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1 | (3) |
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1.2 Customary and Uncustomary Behavior of Non-Autonomous Circuits |
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4 | (5) |
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1.2.1 Definitions and Properties |
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4 | (2) |
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1.2.2 Customary and Uncustomary Behavior of Linear and Nonlinear Circuits |
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6 | (2) |
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8 | (1) |
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1.3 Existence and Uniqueness of Dynamic Circuit Solutions |
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9 | (8) |
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16 | (1) |
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2 Analysis of RF Circuits |
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17 | (118) |
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17 | (88) |
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17 | (1) |
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2.1.1.1 Time step choice algorithm of SPICE and SPECTRE RF |
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17 | (3) |
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2.1.1.2 Brambilla--D'Amore time step choice algorithm |
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20 | (1) |
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2.1.1.2.1 Computation of energy errors |
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20 | (1) |
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2.1.1.2.2 Time step computation |
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21 | (2) |
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23 | (6) |
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2.1.1.3 Time step choice algorithm based on energy balance relative error |
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29 | (1) |
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2.1.1.3.1 Errors used in transient analysis |
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29 | (3) |
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2.1.1.3.2 Time step choice algorithm |
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32 | (1) |
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2.1.1.3.3 Solving the linear circuit with companion models |
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33 | (3) |
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36 | (17) |
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53 | (1) |
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2.1.1.4 Frequency warping in linear circuits |
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54 | (1) |
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2.1.1.4.1 Parallel RLC autonomous circuit |
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55 | (1) |
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2.1.1.4.2 High quality factor circuit |
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56 | (1) |
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2.1.1.4.3 Linear band-pass BAW filter |
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57 | (2) |
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2.1.2 Envelope Following and the Analysis with Two Time Variables |
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59 | (1) |
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2.1.2.1 Kundert algorithm implemented in SPECTRE RF |
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60 | (2) |
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2.1.2.2 Brambilla-Maffezzoni algorithm implemented in PAN |
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62 | (3) |
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65 | (1) |
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65 | (2) |
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2.1.2.3.2 In-Phase and quadrature modulator (IQ) |
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67 | (5) |
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72 | (5) |
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2.1.2.4 Exponential approximation of the envelope |
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77 | (2) |
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2.1.2.5 Quadratic approximation of the envelope |
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79 | (1) |
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2.1.2.5.1 Switching between exponential and quadratic envelope approximations |
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80 | (1) |
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81 | (4) |
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2.1.2.7 Envelope following analysis of a buck converter with closed loop control |
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85 | (1) |
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85 | (5) |
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2.1.2.8 Transient analysis with two time variables |
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90 | (2) |
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92 | (1) |
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2.1.3 Computation of the Periodic Steady State |
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92 | (1) |
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2.1.3.1 The brute force method with the periodicity error control |
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92 | (1) |
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93 | (1) |
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2.1.3.2.1 Shooting with Newton-Raphson |
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93 | (3) |
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2.1.3.2.2 Shooting analysis from PAN |
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96 | (1) |
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2.1.3.3 Shooting with linear extrapolation |
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97 | (1) |
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2.1.3.4 Shooting with exponential extrapolation |
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98 | (1) |
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99 | (1) |
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2.1.3.5 Two time variables method |
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100 | (1) |
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2.1.3.5.1 Finite difference method |
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100 | (2) |
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2.1.3.5.2 Shooting with Newton-Raphson |
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102 | (1) |
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2.1.3.6 Shooting with exponential extrapolation |
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102 | (2) |
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104 | (1) |
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2.2 Frequency Domain Analysis |
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105 | (30) |
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2.2.1 Harmonic Balance Method |
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105 | (1) |
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2.2.1.1 Valtonen harmonic balance method implemented in APLAC |
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105 | (1) |
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2.2.1.1.1 Time domain and frequency domain representations of a periodic signal |
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105 | (1) |
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2.2.1.1.2 Harmonic balance analysis |
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106 | (2) |
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108 | (1) |
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108 | (2) |
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2.2.1.2 Mixed frequency -- time domain analysis method implemented in SPECTRE RF |
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110 | (4) |
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114 | (1) |
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2.2.2 Source Iteration Method for Circuits with Resistive Nonlinearities |
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115 | (1) |
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2.2.2.1 Equivalent sources |
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116 | (1) |
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2.2.2.2 Periodic solutions of the linear circuit |
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117 | (1) |
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118 | (1) |
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2.2.2.4 Iterative procedure |
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118 | (1) |
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119 | (1) |
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2.2.2.6 Harmonics selection |
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119 | (1) |
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120 | (3) |
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2.2.3 Circuit Envelope Method |
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123 | (5) |
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128 | (2) |
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130 | (5) |
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3 Nonlinear Circuit Models for Power Bulk Acoustic Wave Resonators and Filters |
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135 | (46) |
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3.1 Bulk Acoustic Wave Resonators -- Structure and Nonlinear Behavior |
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135 | (5) |
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3.2 Linear Parametric Circuit Models |
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140 | (7) |
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3.2.1 Nosek and Albareda Models |
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140 | (3) |
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3.2.2 Identification of the Nosek Model Parameters |
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143 | (3) |
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3.2.3 Discussion on Linear Parametric Circuit Models |
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146 | (1) |
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3.3 Nonlinear Circuit Models |
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147 | (15) |
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3.3.1 Behavioral Circuit Models |
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147 | (9) |
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3.3.2 Parameter Identification for a Behavioral Resonator Model |
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156 | (1) |
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3.3.3 Nonlinear Circuit Model for Anti-Series and Anti-Parallel Connections |
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157 | (3) |
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160 | (2) |
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3.4 Physical Model Using Transmission Lines |
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162 | (8) |
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3.4.1 1D Linear Artificial Transmission Line Model |
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164 | (2) |
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3.4.2 1D Artificial Transmission Line Model With Mechanical Nonlinearity |
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166 | (1) |
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167 | (3) |
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3.5 Behavioral Models for Frequency Domain Analysis of Power BAW Filters Driven by Multi-Tone Excitations |
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170 | (5) |
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3.5.1 Compensation of Connection Wires Influence |
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170 | (3) |
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173 | (2) |
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175 | (6) |
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177 | (4) |
Index |
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181 | (6) |
About the Authors |
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187 | |