Numerical inversion of Laplace transform using Haar wavelet operational matrices

Jiunn Lin Wu, Chin Hsing Chen, Chih Fan Chen

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)

Abstract

In this paper, a unified derivation of the operational matrices of various orthogonal functions including the Haar wavelet is first given. Based on the derived operational matrix, this paper presents a new method for performing numerical inversion of the Laplace transform. Only matrix multiplications and ordinary algebraic operations are involved in the method. The proposed method is a much simpler as compared with the dictionary-type method and the contour-integration method.

Original languageEnglish
Pages (from-to)120-122
Number of pages3
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume48
Issue number1
DOIs
Publication statusPublished - 2001

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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