Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/26019
Title: Symmetric prefilters for multiwavelets
Authors: Hsung, TC
Sun, MC
Lun, DPK 
Siu, WC 
Issue Date: 2003
Publisher: The Institution of Engineering and Technology
Source: IEE proceedings. Vision, image, and signal processing, 2003, v. 150, no. 1, p. 59-68 How to cite?
Journal: IEE proceedings. Vision, image, and signal processing 
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.
URI: http://hdl.handle.net/10397/26019
ISSN: 1350-245X
EISSN: 1359-7108
DOI: 10.1049/ip-vis:20030164
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