Time-Varying Volterra Analysis of Nonlinear Circuits

Circuit Simulation;Nonlinear Circuits;Volterra Series;Electrical and Computer Engineering

Sarbishaei, Hassan

University of Waterloo

关键词: Circuit Simulation;    Nonlinear Circuits;    Volterra Series;    Electrical and Computer Engineering;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/4451/1/Time-Varying%20Volterra%20Analysis%20of%20Nonlinear%20Circuits%20-%20Hassan%20Sarbishaei%20Thesis.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

Today’s advances in communication systems and VLSI circuits increases the performancerequirements and complexity of circuits. The performance of RF and mixed-signal circuits isnormally limited by the nonlinear behavior of the transistors used in the design. This makessimulation of nonlinear circuits more important. Volterra series is a method used for simulation ofmildly nonlinear circuits. Using Volterra series the response of the nonlinear circuit is converted intoa sum of multiple linear circuit responses. Thus, using Volterra series, simulation of nonlinear circuitsin frequency-domain analysis becomes possible. However, Volterra series is not able to simulatestrongly nonlinear circuits such as saturated Power Amplifiers.In this thesis, a new time-varying Volterra analysis is presented. The time-varying Volterraanalysis is the generalization of conventional Volterra analysis where instead of using a DCexpansion point a time-varying waveform has been used. Employing a time-varying expansionwaveform for Volterra analysis, time-varying Volterra achieves better accuracy than conventionalVolterra. The time-varying expansion waveforms are derived using a fast pre-analysis of the circuit.Using numerical examples, it has been shown that the time-varying Volterra is capable of simulatingnonlinear circuits with better accuracy than conventional Volterra analysis. The time-varying Volterraanalysis in both time and frequency domains are discussed in this thesis. The time-varying Volterraanalysis has been used to simulate a saturated Class-F Power Amplifier in frequency-domain. Thesimulation results show good agreement with ELDO® steady-state and Harmonic Balance simulationresults.The proposed method manages to simulate nonlinear circuits, such as saturated Power Amplifier,mixers and nonlinear microwave circuits, with good accuracy. Also, this method can be used tosimulate circuit with large number of nonlinear elements without the convergence issues of Harmonic Balance.