| Introduction to oscillator jitter | p. 1 |
| Applications | p. 1 |
| Clock recovery in serial data transmission | p. 1 |
| Methods of clock and data recovery | p. 3 |
| Other applications | p. 4 |
| Summary | p. 5 |
| Types of VCOs | p. 7 |
| LC resonant | p. 7 |
| Multivibrator | p. 8 |
| Ring oscillator | p. 8 |
| Motivation and goals of this book | p. 9 |
| Chapter summary | p. 11 |
| Classification of ring oscillators | p. 13 |
| Type of signal in the ring | p. 13 |
| Single-ended | p. 14 |
| True differential | p. 16 |
| Pseudo differential | p. 18 |
| Regenerative switching | p. 21 |
| Signal format summary | p. 21 |
| Tuning method | p. 21 |
| Number of stages | p. 22 |
| Loading | p. 24 |
| Drive strength | p. 27 |
| Voltage | p. 28 |
| A Note on linearity | p. 29 |
| Summary | p. 29 |
| Output format | p. 29 |
| Single output | p. 31 |
| Dual output (quadrature) | p. 33 |
| Multiple output | p. 34 |
| Summary | p. 34 |
| Chapter summary | p. 34 |
| Phase-Locked Loop System Concepts | p. 35 |
| Phase and frequency concepts | p. 35 |
| Phase and jitter concepts in PLL applications | p. 39 |
| Response of PLL loop to input signal and VCO phase noise | p. 40 |
| Summary | p. 43 |
| Measuring phase | p. 43 |
| Time Domain | p. 43 |
| Time domain: two sample standard deviation | p. 44 |
| Frequency Domain | p. 46 |
| Summary | p. 49 |
| Measures that will be related in this book | p. 49 |
| Case (i): Frequency domain, VCO open loop | p. 50 |
| Case (ii): Frequency domain, PLL closed loop | p. 52 |
| Case (iii): Time domain, closed loop, transmit clock referenced | p. 54 |
| Case (iv): Time domain, closed loop, self-referenced | p. 56 |
| Case (v): Time domain, open loop, self referenced | p. 58 |
| Chapter Summary | p. 59 |
| Approximate loop transfer functions | p. 62 |
| Power spectra relationships | p. 66 |
| Overview of Noise Analysis Fundamentals | p. 69 |
| Fundamentals of random signals-time domain | p. 69 |
| Deterministic vs. stochastic signals | p. 69 |
| Expectation value and time average | p. 71 |
| Autocorrelation | p. 73 |
| Variance | p. 79 |
| Classes of random signals | p. 81 |
| Fundamentals of random signals-frequency domain | p. 82 |
| Fourier transform | p. 82 |
| Power spectrum of random signals | p. 82 |
| Circuit analysis with random voltages and currents | p. 84 |
| Time domain | p. 84 |
| Frequency domain | p. 86 |
| Measurement of p.s.d | p. 88 |
| Noise | p. 89 |
| Types and classification of noise | p. 89 |
| Representation of noise | p. 92 |
| Noise in oscillators | p. 92 |
| Time domain-jitter | p. 93 |
| Frequency domain - phase noise | p. 94 |
| Chapter summary | p. 96 |
| Non-ergodic processes | p. 98 |
| Exponentials with gaussian distributed exponents | p. 99 |
| Fourier transform pairs | p. 100 |
| Measurement Techniques | p. 101 |
| Theoretical development | p. 101 |
| Case (i): Frequency domain, VCO open loop | p. 101 |
| Case (ii): Frequency domain, PLL closed loop | p. 102 |
| Case (iii): Time domain, closed loop, transmit clock referenced | p. 102 |
| Case (iv): Time domain, closed loop, self-referenced | p. 103 |
| Case (v): Time domain, open loop, self-referenced | p. 103 |
| Instrumentation | p. 106 |
| Time domain measurement instruments | p. 106 |
| Frequency domain instrumentation | p. 112 |
| Instrumentation summary | p. 112 |
| Experimental verification | p. 113 |
| PLL with multivibrator VCO | p. 113 |
| Ring VCO | p. 118 |
| Discussion of results | p. 118 |
| Chapter summary | p. 120 |
| Analysis of jitter process | p. 121 |
| Data acquisition techniques | p. 123 |
| Analysis of jitter in ring oscillators | p. 129 |
| Review of jitter analysis in different types of oscillators | p. 129 |
| Harmonic oscillators | p. 129 |
| Relaxation oscillators | p. 132 |
| Ring oscillator | p. 136 |
| Jitter model theoretical development | p. 137 |
| Time domain approach: jitter in each oscillator period | p. 138 |
| Special case I: independent delay errors give 1/f2 spectrum | p. 140 |
| Special case II: correlated delay errors | p. 143 |
| General case | p. 146 |
| Development in terms of gate delays | p. 148 |
| Methodology: applying model to circuit design | p. 150 |
| Experimental verification | p. 151 |
| Chapter summary | p. 155 |
| Stationarity of two-sample variance | p. 156 |
| Variance of clock period errors | p. 157 |
| Sources of jitter in ring oscillators | p. 161 |
| Introduction | p. 161 |
| Classification of jitter sources | p. 161 |
| Strategy | p. 164 |
| Control Path: system-level sources of noise | p. 166 |
| Load element noise | p. 167 |
| Fully differential case | p. 167 |
| Single ended case | p. 171 |
| Comparison of differential, single-ended K expressions | p. 174 |
| Switching element noise | p. 175 |
| Fully differential case | p. 175 |
| Single ended case | p. 189 |
| Comparison with other jitter sources | p. 196 |
| Variation in $$ with tuning | p. 196 |
| Bias element noise | p. 199 |
| Fully differential case: tail current noise | p. 199 |
| Comparison with other jitter sources | p. 203 |
| Summary of noise contributions | p. 204 |
| Experimental Verification | p. 208 |
| Simulation | p. 208 |
| Hardware tests | p. 214 |
| Comparison with jitter in harmonic oscillator | p. 220 |
| Time domain approach | p. 220 |
| Frequency domain approach | p. 221 |
| Chapter summary | p. 223 |
| Differential pair switching delay | p. 224 |
| Time-domain (transient) noise source simulation | p. 227 |
| Design methodology | p. 231 |
| Implications for design and simulation | p. 231 |
| Methodology Overview | p. 233 |
| Step 1: refer design goal to asymptotic K | p. 233 |
| Step 2: adjust asymptotic K to gate-level K | p. 234 |
| Step 3: determine constraints on the design of the individual gate | p. 234 |
| Step 4: design for ring center frequency | p. 235 |
| General design techniques for low jitter | p. 237 |
| Chapter summary | p. 237 |
| Low jitter VCO design examples | p. 239 |
| CMOS single-ended ring oscillator | p. 239 |
| VCO topology | p. 239 |
| Number of stages | p. 240 |
| Oscillation frequency | p. 241 |
| Frequency tuning | p. 242 |
| Jitter minimization - long channel | p. 244 |
| Jitter minimization - short channel | p. 245 |
| Experimental results | p. 245 |
| Bipolar differential ring oscillator | p. 247 |
| VCO requirements | p. 247 |
| Ring oscillator design | p. 249 |
| Experimental results | p. 257 |
| Chapter summary | p. 264 |
| Index | p. 275 |
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