Analysis of time-varying discrete systems using discrete legendre orthogonal polynomials

Chyi Hwang, Kuo Kai Shyu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

A finite series expansion method using discrete Legendre orthogonal polynomials (DLOPs) is applied to analyze linear time-varying discrete systems. An effective algorithm is derived to establish a representation which relates the DLOP coefficient vector of a product function to those of its two-component functions. By using this representation, along with the time-shift operational matrix of DLOP, a linear time-varying difference equation is converted into a set of linear algebraic equations. It is therefore convenient for computer computation.

Original languageEnglish
Pages (from-to)149-164
Number of pages16
JournalJournal of the Franklin Institute
Volume324
Issue number1
DOIs
StatePublished - 1987

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