一类紧支撑矩阵值正交小波的构造

数学季刊 ›› 2006, Vol. 21 ›› Issue (4): 608-616.

一类紧支撑矩阵值正交小波的构造

1. Faculty of Science,Xi'an Jiaotong University 2. Elementary Department,Luohe Vocational Technology College 3. Faculty of Science,Xi'an diaotong University

收稿日期:2005-03-22 出版日期:2006-12-30 发布日期:2023-11-22
作者简介:CHEN Qing-jiang(1962-),male,native of Xinyang,Henan,engages in wavelet theory and applications.
基金资助:
Supported by the Natural Science Foundation of Henan(0211044800)；

The Construction of a Class of Compactly Supported Orthogonal Matrix-valued Wavelets

1. Faculty of Science,Xi'an Jiaotong University 2. Elementary Department,Luohe Vocational Technology College 3. Faculty of Science,Xi'an diaotong University

Received:2005-03-22 Online:2006-12-30 Published:2023-11-22
About author:CHEN Qing-jiang(1962-),male,native of Xinyang,Henan,engages in wavelet theory and applications.
Supported by:
Supported by the Natural Science Foundation of Henan(0211044800)；

摘要/Abstract

摘要： In this paper,we introduce matrix-valued multiresolution analysis and orthogonal matrix-valued wavelets.We obtain a necessary and sufficient condition on the existence of orthogonal matrix-valued wavelets by means of paraunitary vector filter bank theory.A method for constructing a class of compactly supported orthogonal matrix-valued wavelets is proposed by using multiresolution analysis method and matrix theory.

关键词: orthogonal, matrix-valued multiresolution analysis, matrix-valued scaling fun-
nctions, matrix-valued wavelets, Hermitian matrix

Abstract: In this paper,we introduce matrix-valued multiresolution analysis and orthogonal matrix-valued wavelets.We obtain a necessary and sufficient condition on the existence of orthogonal matrix-valued wavelets by means of paraunitary vector filter bank theory.A method for constructing a class of compactly supported orthogonal matrix-valued wavelets is proposed by using multiresolution analysis method and matrix theory.

Key words: orthogonal, matrix-valued multiresolution analysis, matrix-valued scaling fun-
nctions, matrix-valued wavelets, Hermitian matrix

中图分类号:

O174.2

陈清江, 程传蕊, 程正兴. 一类紧支撑矩阵值正交小波的构造[J]. 数学季刊, 2006, 21(4): 608-616.

CHEN Qing-jiang, CHENG Chuan-ru, CHENG Zheng-xing. The Construction of a Class of Compactly Supported Orthogonal Matrix-valued Wavelets[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 608-616.

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