Nonlinear Microwave Circuit Design

TLDR: In this article, the authors proposed a nonlinear analysis method for Oscillators, based on the transformation in the Fourier Domain of the Linear Differential Equation (LDE).

Abstract: Preface.Chapter 1. Nonlinear Analysis Methods.1.1 Introduction.1.2 Time-Domain Solution.1.3 Solution Through Series Expansion1.4 The Conversion Matrix.1.5 Bibliography.Chapter 2. Nonlinear Measurements.2.1 Introduction.2.2 Load/Source-Pull.2.3 The Vector Nonlinear Network Analyser.2.4 Pulsed Measurements.2.5 Bibliography.Chapter 3. Nonlinear Models.3.1 Introduction.3.2 Physical Models.3.3 Equivalent-Circuit Models.3.4 Black-Box Models.3.5 Simplified Models.3.6 Bibliography.Chapter 4. Power Amplifiers.4.1 Introduction.4.2 Classes of Operation.4.3 Simplified Class-A Fundamental-Frequency Design For High Efficiency.4.4 Multi-Harmonic Design For High Power And Efficiency.4.5 Bibliography.Chapter 5. Oscillators.5.1 Introduction.5.2 Linear Stability and Oscillation Conditions.5.3 From Linear To Nonlinear: Quasi-Large-Signal Oscillation And Stability Conditions.5.4 Design Methods.5.5 Nonlinear Analysis Methods For Oscillators.5.6 Noise.5.7 Bibliography.Chapter 6. Frequency Multipliers and Dividers.6.1 Introduction.6.2 Passive Multipliers.6.3 Active Multipliers.6.4 Frequency Dividers-The Rigenerative (Passive) Approach.6.5 Bibliography.Chapter 7. Mixers. 7.1 Introduction.7.2 Mixer Configurations.7.3 Mixer Design.7.4 Nonlinear Analysis.7.5 Noise.7.6 Bibliography.Chapter 8. Stability and Injection-locked Circuits.8.1 Introduction.8.2 Local Stability Of Nonlinear Circuits In Large-Signal Regime.8.3 Nonlinear Analysis, Stability And Bifurcations.8.4 Injection Locking.8.5 Bibliography.Appendix.A.1. Transformation in the Fourier Domain of the Linear Differential Equation.A.2. Time-Frequency Transformations.A.3 Generalized Fourier Transformation for the Volterra Series Expansion.A.4 Discrete Fourier Transform and Inverse Discrete Fourier Transform for Periodic Signals.A.5 The Harmonic Balance System of Equations for the Example Circuit with N=3.A.6 The Jacobian MatrixA.7 Multi-dimensional Discrete Fourier Transform and Inverse Discrete Fourier Transform for quasi-periodic signals.A.8 Oversampled Discrete Fourier Transform and Inverse Discrete Fourier Transform for Quasi-Periodic Signals.A.9 Derivation of Simplified Transport Equations.A.10 Determination of the Stability of a Linear Network.A.11 Determination of the Locking Range of an Injection-Locked Oscillator.Index.