Complex hybrid symbolic analysis of nonlinear analog circuits driven by multi-tone signals

Lucia Dumitriu, Mihai Iordache, Ilie Luican,
“Politehnica” University of Bucharest, Electrical Engineering Department, Bucharest, Romania

DOI: 10.36724/2664-066X-2022-8-2-2-7

SYNCHROINFO JOURNAL. Volume 8, Number 2 (2022). P. 2-7.

Abstract

The paper presents a general symbolic method for generating the complex hybrid matrix necessary for computing the periodic or nonperiodic steady-state response of a nonlinear analog circuit driven by multitone signals. This method is remarkable by its great efficiency and generality, and it is very useful in frequency-domain approach based on harmonic balance and least square approximation. For the general case of the nonperiodic steady-state response there are three basic methods: frequency-domain approach based on Voltera series; time-domain approach and a frequency-domain approach based on harmonic balance and least square approximation. The last one is significantly more efficient when the total number of nonlinear resistors, inductors and capacitors is significantly less than the total number of linear inductors and capacitors in the circuit, as is often the case in practice.

Keywords: Symbolic analysis, hybrid analysis, nonlinear analog circuits, multi-tone signals.

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