Foreword |
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Contributing Authors |
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Contents |
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Symbols and Abbreviations |
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xvii | |
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1 | (10) |
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Structured analysis, a key to successful design |
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1 | (5) |
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Electronics, a competitive market |
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1 | (1) |
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Analog design: A potential bottleneck |
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2 | (1) |
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3 | (2) |
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5 | (1) |
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6 | (3) |
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7 | (1) |
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8 | (1) |
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9 | (2) |
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Modeling and analysis of telecom frontends: basic concepts |
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11 | (16) |
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Models, modeling and analysis |
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11 | (9) |
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Models: what you want or what you have |
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12 | (2) |
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14 | (1) |
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The importance of good models in top-down design |
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15 | (2) |
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17 | (1) |
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Modeling and analysis: model creation, transformation and interpretation |
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17 | (3) |
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Good models for telecommunication frontends: Architectures and their behavioral properties |
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20 | (5) |
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Frontend architectures and their building blocks |
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20 | (1) |
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Properties of frontend building block behavior |
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21 | (4) |
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25 | (2) |
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A framework for frequency-domain analysis of linear periodically time-varying systems |
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27 | (52) |
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The story behind the math |
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28 | (6) |
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What's of interest: A designer's point of view |
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28 | (1) |
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Using harmonic transfer matrices to characterize LPTV behavior |
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29 | (1) |
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LPTV behavior and circuit small-signal analysis |
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30 | (4) |
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34 | (3) |
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34 | (2) |
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36 | (1) |
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Frequency-domain approaches |
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36 | (1) |
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Contributions of this work |
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37 | (1) |
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Laplace-domain modeling of LPTV systems using Harmonic Transfer Matrices |
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37 | (14) |
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LPTV systems: implications of linearity and periodicity |
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38 | (3) |
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Linear periodically modulated signal models |
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41 | (5) |
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Harmonic transfer matrices: capturing transfer of signal content between carrier waves |
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46 | (2) |
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Structural properties of HTMs |
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48 | (2) |
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On the ∞-dimensional nature of HTMs |
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50 | (1) |
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Matrix-based descriptions for arbitrary LTV behavior |
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51 | (1) |
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LPTV system manipulation using HTMs |
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51 | (9) |
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HTMs of elementary systems |
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51 | (2) |
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HTMs of LPTV systems connected in parallel or in series |
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53 | (1) |
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Feedback systems and HTM inversions |
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54 | (4) |
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Relating HTMs to state-space representations |
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58 | (2) |
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LPTV system analysis using HTMs |
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60 | (18) |
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61 | (1) |
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61 | (8) |
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69 | (9) |
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Conclusions and directions for further research |
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78 | (1) |
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Applications of LPTV system analysis using harmonic transfer matrices |
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79 | (56) |
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79 | (3) |
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Phase-Locked Loop analysis |
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82 | (31) |
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PLL architectures and PLL building blocks |
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83 | (1) |
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84 | (3) |
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Signal phases and phase-modulated signal models |
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87 | (4) |
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HTM-based PLL building block models |
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91 | (8) |
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PLL closed-loop input-output HTM |
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99 | (4) |
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Example 1: PLL with sampling PFD |
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103 | (8) |
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Example 2: PLL with mixing PFD |
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111 | (1) |
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112 | (1) |
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Automated symbolic LPTV system analysis |
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113 | (21) |
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113 | (2) |
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Symbolic LPTV system analysis: outlining the flow |
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115 | (1) |
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115 | (2) |
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117 | (1) |
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Computational flow of the SymbolicHTM algorithm |
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118 | (4) |
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SymbolicHTM: advantages and limitations |
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122 | (1) |
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Application 1: linear downconversion mixer |
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122 | (6) |
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Application 2: Receiver stage with feedback across the mixing element |
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128 | (6) |
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Conclusions and directions for further research |
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134 | (1) |
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Modeling oscillator dynamic behavior |
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135 | (62) |
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The story behind the math |
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136 | (8) |
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136 | (1) |
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Unperturbed system behavior: neglecting small forces |
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137 | (1) |
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Perturbed system behavior: changes in the earth's orbit |
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138 | (2) |
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Averaging: focusing on what's important |
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140 | (2) |
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How does electronic oscillator dynamics fit in? |
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142 | (1) |
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Modeling oscillator behavior |
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142 | (2) |
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144 | (4) |
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144 | (1) |
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144 | (2) |
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146 | (1) |
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Contributions of this work |
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146 | (2) |
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Oscillator circuit equations |
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148 | (4) |
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Normalizing the oscillator circuit equations |
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149 | (1) |
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Partitioning the normalized circuit equations |
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150 | (2) |
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Characterizing the oscillator's unperturbed core |
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152 | (3) |
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Oscillator perturbation analysis |
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155 | (7) |
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Components of an oscillator's perturbed behavior |
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155 | (2) |
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Motion xs (τ, p(τ)) over the manifold M |
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157 | (3) |
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160 | (2) |
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162 | (8) |
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Oscillator phase (noise) analysis |
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170 | (10) |
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Capturing oscillator phase behavior |
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171 | (1) |
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Practical application: oscillator injection locking |
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172 | (2) |
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Averaging in the presence of random perturbations |
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174 | (4) |
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Practical application: computing oscillator phase noise spectra |
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178 | (2) |
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Harmonic oscillator behavioral modeling |
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180 | (15) |
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181 | (5) |
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186 | (1) |
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187 | (8) |
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Conclusions and directions for further research |
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195 | (2) |
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197 | (4) |
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197 | (2) |
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HTM-based LPTV system analysis |
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198 | (1) |
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Modeling oscillator dynamic behavior |
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199 | (1) |
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199 | (2) |
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A HTM norms and the comparison of HTMs |
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201 | (4) |
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A.1 Operator norms and the comparison of operators |
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201 | (1) |
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A.2 Selecting the set of test inputs |
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202 | (1) |
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A.3 Expressing LPTV operator norms in terms of the corresponding HTM elements |
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202 | (2) |
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204 | (1) |
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B The Sherman-Morisson-Woodbury formula |
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205 | (2) |
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C HTM elements of the linear downconversion mixer |
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207 | (4) |
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D Oscillator dynamics: analysis of the deviation from the attracting manifold |
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211 | (6) |
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D.1 Components of the deviation Δx(τ) |
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211 | (1) |
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212 | (2) |
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212 | (1) |
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213 | (1) |
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D.3 The behavior of Δx3(τ) |
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214 | (1) |
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215 | (2) |
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E Analysis of a harmonic oscillator |
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217 | (4) |
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E.1 Determining the oscillator's averaged dynamics |
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217 | (3) |
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E.2 Phase behavior near operating point |
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220 | (1) |
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220 | (1) |
Bibliography |
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221 | |