# Computer Methods for Analysis of Mixed-Mode Switching Circuits

Computer Methods for Analysis of Mixed-Mode Switching Circuits

Computer Methods for Analysis of Mixed-Mode Switching Circuits provides an in-depth treatment of the principles and implementation details of computer methods and numerical algorithms for analysis of mixed-mode switching circuits. Les mer
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Computer Methods for Analysis of Mixed-Mode Switching Circuits

Computer Methods for Analysis of Mixed-Mode Switching Circuits provides an in-depth treatment of the principles and implementation details of computer methods and numerical algorithms for analysis of mixed-mode switching circuits. Major topics include:
-Computer-oriented formulation of mixed-mode switching circuits,
-Network functions of linear and nonlinear time-varying systems,
-Numerical Laplace inversion based integration algorithms and inconsistent initial conditions,
-Time domain analysis of periodically switched linear and nonlinear circuits including response, sensitivity, noise, clock jitter, and statistical quantities,
-Time domain analysis of circuits with internally controlled switches and over-sampled sigma-delta modulators,
-Tellegen's theorem, frequency reversal theorem, and transfer function theorem of periodically switched linear circuits and their applications,
-Frequency domain analysis of periodically switched linear and nonlinear circuits including response, sensitivity, group delay, noise, and statistical quantities.

List of Figures
List of Tables
Preface
Acknowledgments

Part I: The Fundamentals
1. AN OVERVIEW OF MIXED-MODE SWITCHING CIRCUITS
1. Classification
2. Switched Capacitor Techniques
3. Switched Current Techniques
4. Characteristics of Mixed-Mode Switching Circuits

2. COMPUTER FORMULATION OF MIXED-MODE SWITCHING CIRCUITS
1. Modeling of Switches
2. Formulation Methods for Mixed-Mode Switching Circuits
3. Summary

3. NETWORK FUNCTIONS OF TIME-VARYING CIRCUITS
1. Transfer Functions of Linear Time-Varying Systems
2. Transfer Functions of Nonlinear Time-Varying Systems
3. Frequency Response of Nonlinear Time-Varying Systems
4. Frequency Response of Nonlinear Periodically Time-Varying Systems
5. Summary

4. NUMERICAL INTEGRATION OF DIFFERENTIAL EQUATIONS
1. Linear Single-Step Predictor-Corrector Algorithms
2. Linear Multi-Step Predictor-Corrector Algorithms
3. Integration Using Numerical Laplace Inversion
4. Summary

Part II: Time Domain Analysis
5. INCONSISTENT INITIAL CONDITIONS
1. Inconsistent Initial Conditions
2. Numerical Laplace Inversion Based Two-Step Algorithm
3. Backward Euler Based Algorithms
4. Taylor Series Based Algorithm
5. Volterra Functional Series Based Algorithm
6. Existence of Dirac Impulses at Switching Instants
7. Summary

6. SAMPLED-DATA SIMULATION OF PERIODICALLY SWITCHED LINEAR CIRCUITS
1. Sampled-Data Simulation of Periodically Switched Linear Circuits
2. Inconsistent Initial Conditions
3. Time-Domain Sensitivity
4. Inconsistent Initial Conditions of Sensitivity Networks
5. Statistical Analysis
6. Noise Analysis
7. Clock Jitter
8. Summary
1 Computation of Uk(T)
2 Computation of Rk(T)
3 Computation of Uk(T)
7. SAMPLED-DATA SIMULATION OF PERIODICALLY SWITCHED NONLINEAR CIRCUITS
1. Multi-Linear Theory
2. Volterra Circuits
3. Sampled-Data Simulation of PeriodicallySwitched Nonlinear Circuits
4. Inconsistent Initial Conditions
5. Sensitivity of Periodically Switched Nonlinear Circuits
6. Discussion
7. Examples
8. Summary

8. SAMPLED-DATA SIMULATION OF CIRCUITS WITH INTERNALLY CONTROLLED SWITCHES
1. Internally Controlled Switches and Switching Variables
2. Switching Instants
3. Inconsistent Initial Conditions
4. Examples
5. Summary

9. SAMPLED-DATA SIMULATION OF OVER-SAMPLED SIGMA-DELTA MODULATORS
1. Introduction
2. Modeling of Clocked Quantizers
3. Modeling of Unclocked Quantizers
4. Modeling of Digital-to-Analog Data Converters
5. Modeling of Other Blocks
6. Simulation Methods
7. Examples
8. Summary

Part III: Frequency Domain Analysis
10. ADJOINT NETWORK OF PERIODICALLY SWITCHED LINEAR CIRCUITS
1. Tellegen's Theorem
2. Inter-reciprocity
3. Adjoint Network
4. Transfer Function Theorem
5. Frequency Reversal Theorem
6. Examples
7. Summary

11. FREQUENCY DOMAIN ANALYSIS OF PERIODICALLY SWITCHED LINEAR CIRCUITS
1. Frequency Response
2. Sensitivity Analysis
3. Group Delay Analysis
4. Noise Analysis
5. Statistical Analysis
6. Summar