1. Introduction.- 2. Mathematical Background.- 2.1 Probability and Random Variables.- 2.2 Stochastic Processes.- 2.3 Filtering of Stochastic Processes with Linear Transformations.- 2.4 Matrix Algebra, Linear Differential Equations and Floquet Theory.- 2.5 Stochastic Differential Equations and Systems.- 3. Noise Models.- 3.1 Physical Origins of Electrical Noise.- 3.2 Model for Shot Noise as a Stochastic Process.- 3.3 Model for Thermal Noise as a Stochastic Process.- 3.4 Models for Correlated or non-White Noise.- 3.5 Summary.- 4. Overview of Noise Simulation for Nonlinear Electronic Circuits.- 4.1 Overview.- 4.2 Noise Simulation with LTI Transformations.- 4.3 Noise Simulation with LPTV Transformations.- 4.4 Monte Carlo Noise Simulation with Direct Numerical Integration.- 4.5 Summary.- 5. Time-Domain Non-Monte Carlo Noise Simulation.- 5.1 Formulation of Circuit Equations with Noise.- 5.2 Probabilistic Characterization of the Circuit with Noise.- 5.3 Small Noise Expansion.- 5.4 Derivation of a Linear Time Varying SDE Model for Noise Analysis.- 5.5 Derivation of Linear Time Varying ODEs for the Autocorrelation Matrix.- 5.6 Solution of the Linear Time Varying ODEs for the Autocorrelation Matrix.- 5.7 Numerical Computation of the Autocorrelation Matrix.- 5.8 Alternative ODEs for the Autocorrelation Matrix.- 5.9 Time-Invariant and Periodic Steady-State.- 5.10 Examples.- 5.11 Summary.- 6. Noise in Free Running Oscillators.- 6.1 Phase Noise and Timing Jitter Concepts.- 6.2 Phase Noise Characterization with Time Domain Noise Simulation.- 6.3 Phase Noise: Same at All Nodes.- 6.4 Kaertner's Work on Phase Noise.- 6.5 Alternative Phase Noise Characterization Algorithm.- 6.6 Non-White Noise Sources and Phase Noise.- 6.7 Phase Noise of Phase-Locked Loops.- 6.8 Summary.- 7. BehavioralModeling and Simulation of Phase-Locked Loops.- 7.1 PLLs for Clock Generators and Frequency Synthesizers.- 7.2 Behavioral Models of PLL Components.- 7.3 Behavioral Simulation Algorithm.- 7.4 Post Processing for Spurious Tones and Timing Jitter/Phase Noise.- 7.5 Examples.- 7.6 Summary.- 8. Conclusions and Future Work.- References.- Index>.