DocumentCode :
891644
Title :
Formula for output autocorrelation and spectrum of a Volterra system with stationary Gaussian input
Author :
Barrett, J.F.
Author_Institution :
University of Technology Eindhoven, Department of Electrical Engineering, Eindhoven, Netherlands
Volume :
127
Issue :
6
fYear :
1980
fDate :
11/1/1980 12:00:00 AM
Firstpage :
286
Lastpage :
289
Abstract :
It is shown how the output autocorrelation and spectrum of a time-invariant Volterra system with stationary Gaussian input can conveniently be found by converting the Volterra series into a Hermite functional series and then making use of the orthogonality property. The paper extends previous work by the author to derive the well-known formula of Bedrosian-Rice.
Keywords :
nonlinear systems; series (mathematics); Hermite functional series; Volterra series; nonlinear systems; orthogonality; output autocorrelation; stationary Gaussian input;
fLanguage :
English
Journal_Title :
Control Theory and Applications, IEE Proceedings D
Publisher :
iet
ISSN :
0143-7054
Type :
jour
DOI :
10.1049/ip-d.1980.0049
Filename :
4642021
Link To Document :
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