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March 1974 (vol. 23 no. 3)
pp. 225-232
ASCII Text
x 
 
A.S. French, E.G. Butz, "The Use of Walsh Functions in the Wiener Analysis of Nonlinear Systems," IEEE Transactions on Computers, vol. 23, no. 3, pp. 225-232, March, 1974.
 
 
BibTex
x
 
@article{ 10.1109/T-C.1974.223916,
author = {A.S. French and E.G. Butz},
title = {The Use of Walsh Functions in the Wiener Analysis of Nonlinear Systems},
journal ={IEEE Transactions on Computers},
volume = {23},
number = {3},
issn = {0018-9340},
year = {1974},
pages = {225-232},
doi = {http://doi.ieeecomputersociety.org/10.1109/T-C.1974.223916},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - The Use of Walsh Functions in the Wiener Analysis of Nonlinear Systems
IS - 3
SN - 0018-9340
SP225
EP232
EPD - 225-232
A1 - A.S. French,
A1 - E.G. Butz,
PY - 1974
KW - Dyadic kernels
KW - nonlinear system analysis
KW - Walsh function expansion
KW - Weiner functional expansion.
VL - 23
JA - IEEE Transactions on Computers
ER -
 
A.S. French, Department of Physiology, University of Alberta
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.
Index Terms:
Dyadic kernels, nonlinear system analysis, Walsh function expansion, Weiner functional expansion.
Citation:
A.S. French, E.G. Butz, "The Use of Walsh Functions in the Wiener Analysis of Nonlinear Systems," IEEE Transactions on Computers, vol. 23, no. 3, pp. 225-232, March 1974, doi:10.1109/T-C.1974.223916
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