DocumentCode
1114828
Title
The Use of Walsh Functions in the Wiener Analysis of Nonlinear Systems
Author
French, Andrew S. ; Butz, Edward G.
Author_Institution
Department of Physiology, University of Alberta
Issue
3
fYear
1974
fDate
3/1/1974 12:00:00 AM
Firstpage
225
Lastpage
232
Abstract
A powerful means of analyzing nonlinear systems is provided by the Wiener functional expansion. However, this technique has not been implemented widely in experimental situations because of the difficulties associated with measuring the kernels of the system, which constitutes the analysis problem. A new method of measuring the kernels is described here in which the Walsh functions are used as the set of orthogonal functions with which the kernels are expanded. The multiplicative properties of the Walsh functions and the fast Walsh-Fourier transform make the measurement scheme very efficient.
Keywords
Dyadic kernels, nonlinear system analysis, Walsh function expansion, Weiner functional expansion.; Electronic circuits; Fast Fourier transforms; Filters; Frequency domain analysis; Frequency measurement; Kernel; Mathematics; Nonlinear systems; Physiology; White noise; Dyadic kernels, nonlinear system analysis, Walsh function expansion, Weiner functional expansion.;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/T-C.1974.223916
Filename
1672509
Link To Document