Frequency domain analysis of nonlinear systems: general theory

Author

Chua, L.O. ; Ng, C.-Y.

Author_Institution

University of California, Department of Electrical Engineering and Computer Sciences and the Electronics Research Laboratory, Berkeley, USA

Volume

3

Issue

4

fYear

1979

fDate

7/1/1979 12:00:00 AM

Firstpage

165

Lastpage

185

Abstract

A unified study of the applications of Volterra functional series to nonlinear-system analysis is presented with special emphasis on frequency-domain results which either have not been published before, or where rigour had been lacking. In particular, an in-depth analysis of the harmonic and intermodulation frequency components due to each Volterra kernel of a given order will be presented and explicit formulas which complement those already published will be given. The effects of manipulating various kernels, which need not be symmetric, on the overall response, as well as on the composite kernels will be investigated. These results are then applied to the analysis of dynamical systems described by a system of nonlinear state equations and a read-out map

Keywords

frequency-domain analysis; nonlinear network analysis; nonlinear systems; Volterra functional series; Volterra kernel; composite kernels; explicit formulas; frequency domain analysis; intermodulation frequency components; nonlinear state equations; nonlinear systems; overall response; unified study;

fLanguage

English

Journal_Title

Electronic Circuits and Systems, IEE Journal on

Publisher

iet

ISSN

0308-6984

Type

jour

DOI

10.1049/ij-ecs:19790030

Filename

4808562