The spectral coefficients of the response of nonlinear systems to asymptotically almost periodic inputs

Author

Sandberg, Irwin W. ; van Zyl, G.J.J.

Author_Institution

Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA

Volume

48

Issue

2

fYear

2001

fDate

2/1/2001 12:00:00 AM

Firstpage

170

Lastpage

176

Abstract

It is known that time-invariant systems having approximately finite memory and satisfying some often-satisfied continuity constraints map asymptotically almost periodic inputs into asymptotically almost periodic outputs with the module of the output a subset of the module of the input. Systems described by Volterra integral equations of the second kind that meet the circle criterion and satisfy some additional constraints fall into this class. In this paper we present an analytical basis for numerically evaluating the spectral coefficients of the output of such systems when the input is asymptotically almost periodic

Keywords

Volterra equations; nonlinear systems; spectral analysis; Volterra integral equations; approximately finite memory; asymptotically almost periodic inputs; asymptotically almost periodic outputs; circle criterion; nonlinear systems; often-satisfied continuity constraints; spectral coefficients; time-invariant systems; Computer errors; Context; Fourier series; Frequency; Indium phosphide; Integral equations; Intermodulation distortion; Nonlinear systems; Polynomials;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.904881

Filename

904881