[1]陈清江,冯金顺,程正兴..紧支撑多重向量值正交小波的构造[J].郑州大学学报(工学版),2005,26(04):102-106.[doi:10.3969/j.issn.1671-6833.2005.04.026]
　CHEN Qingjiang,Feng Jinshun,Cheng Zhengxing.The construction of orthogonal wavelets with multiple vector values is tightly supported[J].Journal of Zhengzhou University (Engineering Science),2005,26(04):102-106.[doi:10.3969/j.issn.1671-6833.2005.04.026]

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紧支撑多重向量值正交小波的构造

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

26

期数:

2005年04期

页码:

102-106

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

The construction of orthogonal wavelets with multiple vector values is tightly supported

作者:

陈清江; 冯金顺; 程正兴.

西安交通大学理学院,陕西,西安,710049, 南阳理工学院基础教育学院,河南,南阳,473000

Author(s):

CHEN Qingjiang; Feng Jinshun; Cheng Zhengxing

关键词:

多重向量值;  多分辨分析;  尺度函数;  正交小波;  加细方程;  厄米特矩阵

Keywords:

multi-vector values;  multi-resolution analysis;  scale function;  orthogonal wavelets;  Detailed equations;  Ermet matrix

DOI:

10.3969/j.issn.1671-6833.2005.04.026

文献标志码:

A

摘要:

通过引进向量值多分辩分析与多重向量值正交小波的概念,运用仿酉向量滤波器理论与傅立叶变换,得到多重向量值正交小波函数存在的充要条件,利用多分辩分析方法与矩阵理论,由给定的适合某些条件的若干个紧支撑向量值正交尺度函数,来构造多重向量值正交小波函数,给出一类紧支撑多重向量值正交小波的构造算法,并给出一个相应的构造算例.

Abstract:

By introducing the concepts of vector value multi-resolution analysis and orthogonal wavelets of multiple vector values, using the theory of imitation vector filter and Fourier transform, the sufficient conditions for the existence of orthogonal wavelets of multiple vector values are obtained, and the orthogonal wavelet function of multiple vector values is constructed by using multi-resolution analysis methods and matrix theory, and a class of orthogonal wavelets with tight support vector values is given a number of orthogonal scale functions suitable for certain conditions, and a construction algorithm for orthogonal wavelets of multiple vector values is given, and a corresponding construction example is given.

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