Construction of Compactly Supported Symmetric Orthonormal Multi-wavelet
|更新时间:2026-07-10
|
Construction of Compactly Supported Symmetric Orthonormal Multi-wavelet
Vol. 14, Issue 3, Pages: 75-78(2009)
作者机构:
1. 哈尔滨学院数学与计算机学院
2. 哈尔滨理工大学应用科学学院
作者简介:
基金信息:
DOI:
CLC:O174.2
Published:2009
稿件说明:
移动端阅览
FENG A-fang, ZHANG Xin, DENG Cai-xia. Construction of Compactly Supported Symmetric Orthonormal Multi-wavelet[J]. 2009, 14(3): 75-78.
DOI:
FENG A-fang, ZHANG Xin, DENG Cai-xia. Construction of Compactly Supported Symmetric Orthonormal Multi-wavelet[J]. 2009, 14(3): 75-78.DOI:
Construction of Compactly Supported Symmetric Orthonormal Multi-wavelet
摘要
因为多小波可以同时具有对称性与正交性等诸多性质而成为研究热点.本文通过选取适当的正交矩阵
给出一种由已知紧支撑对称正交多小波来构造相应性质的紧支撑对称正交多小波的新方法.该方法简单易行
并以DGHM紧支撑对称正交多小波为例给出了具体构造过程.
Abstract
Multiwavelets
which have some advantages for example: symmetric and orthonormal etc
become a focus of research.In this paper
one method is given to generate a new compactly supported symmetric orthonormal multi-wavelet from a compactly symmetric orthonormal multi-wavelet by chosing a proper orthogonal matrix.The new multi-wavelet has similar property with the wavelet.At last
the DGHM compactly supported symmetric orthonormal multi-wavelet is given in the method as an example.