The Use of Walsh Functions in the Wiener Analysis of Nonlinear Systems

Andrew S. French, Edward G. Butz

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)225-232
Number of pages8
JournalIEEE Transactions on Computers
VolumeC-23
Issue number3
DOIs
Publication statusPublished - Mar 1974
Externally publishedYes

ASJC Scopus Subject Areas

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computational Theory and Mathematics

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