Symmetric prefilters for multiwavelets

T. C. Hsung, M. C. Sun, Pak Kong Lun, W. C. Siu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)

Abstract

When applying discrete multiwavelets, prefiltering is necessary because the initial multiscaling coefficients cannot be trivially derived from the samples of scalar signals. There have been many studies on the design of prefilters, and one main approach is to use a superfunction. The idea is to construct a low-pass function from the multiscaling functions that inherits their approximation power for scalar signals. However, none of the existing prefilters give linear phase combined filters, which is important for many practical applications. The authors analyse the conditions on which the prefilters and the combined filters are symmetric. A method is proposed for the design of good multiwavelet prefilters that allow the superfunction to be symmetric, satisfying the Strang-Fix conditions and the resulting combined filters are linear phase. Design examples using DGHM and Chui-Lian multiwavelets are given.
Original languageEnglish
Pages (from-to)59-68
Number of pages10
JournalIEE Proceedings: Vision, Image and Signal Processing
Volume150
Issue number1
DOIs
Publication statusPublished - 1 Feb 2003

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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