Symmetric prefilters for multiwavelets

Tai Chiu Hsung, Pak Kong Lun, Wan Chi Siu

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

When applying discrete multiwavelet, prefiltering is necessary because the initial multiscaling coefficients cannot be trivially derived from the samples of scalar signals. The prefilters can be designed by using the superfunction theory. The idea is to construct a lowpass 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. In this paper, we analyze the conditions on which the prefilters and the combined filters are symmetric. We further propose a method to design good multiwavelet prefilters that allow the superfunction to be symmetric, satisfying the Strang-Fix conditions and the resulted combined filters are linear phase. We give design example on Chui-Lian multiwavelet.
Original languageEnglish
Title of host publication2004 International Symposium on Intelligent Multimedia, Video and Speech Processing, ISIMP 2004
Pages494-497
Number of pages4
Publication statusPublished - 1 Dec 2004
Event2004 International Symposium on Intelligent Multimedia, Video and Speech Processing, ISIMP 2004 - Hong Kong, China, Hong Kong
Duration: 20 Oct 200422 Oct 2004

Conference

Conference2004 International Symposium on Intelligent Multimedia, Video and Speech Processing, ISIMP 2004
CountryHong Kong
CityHong Kong, China
Period20/10/0422/10/04

ASJC Scopus subject areas

  • Engineering(all)

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