Title :
Formula for output autocorrelation and spectrum of a Volterra system with stationary Gaussian input
Author_Institution :
University of Technology Eindhoven, Department of Electrical Engineering, Eindhoven, Netherlands
fDate :
11/1/1980 12:00:00 AM
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;
Journal_Title :
Control Theory and Applications, IEE Proceedings D
DOI :
10.1049/ip-d.1980.0049