二元向量值多重小波包的双正交性质研究

数学季刊 ›› 2010, Vol. 25 ›› Issue (2): 208-213.

二元向量值多重小波包的双正交性质研究

Department of Applied Mathematics, Nanyang Institute of Technology

收稿日期:2009-10-16 出版日期:2010-06-30 发布日期:2023-06-02
作者简介: CHEN Shao-dong(1969-), female, native of Nanyang, Henan, a lecturer of Nanyang Institute of Technology, M.S.D., engaged in mathematics in control, economic research and application.
基金资助:
Supported by Natural Science Foundation of Henan Province(0511013500)；

The Biorthogonality of Multiple Vector-valued Bivariate Wavelet Packets

Department of Applied Mathematics, Nanyang Institute of Technology

Received:2009-10-16 Online:2010-06-30 Published:2023-06-02
About author: CHEN Shao-dong(1969-), female, native of Nanyang, Henan, a lecturer of Nanyang Institute of Technology, M.S.D., engaged in mathematics in control, economic research and application.
Supported by:
Supported by Natural Science Foundation of Henan Province(0511013500)；

摘要/Abstract

摘要： The notion of a sort of biorthogonal multiple vector-valued bivariate wavelet packets, which are associated with a quantity dilation matrix, is introduced. The biorthogonality property of the multiple vector-valued wavelet packets in higher dimensions is studied by means of Fourier transform and integral transform biorthogonality formulas concerning these wavelet packets are obtained.

关键词: bivariate, multiple vector-valued multiresolution analysis, multiple vector-valued scaling function, multiple vector-valued wavelet packets, biorthogonality

Abstract: The notion of a sort of biorthogonal multiple vector-valued bivariate wavelet packets, which are associated with a quantity dilation matrix, is introduced. The biorthogonality property of the multiple vector-valued wavelet packets in higher dimensions is studied by means of Fourier transform and integral transform biorthogonality formulas concerning these wavelet packets are obtained.

Key words: bivariate, multiple vector-valued multiresolution analysis, multiple vector-valued scaling function, multiple vector-valued wavelet packets, biorthogonality

中图分类号:

O174.2

陈绍东, 黄娜. 二元向量值多重小波包的双正交性质研究[J]. 数学季刊, 2010, 25(2): 208-213.

CHEN Shao-dong, HUANG Na. The Biorthogonality of Multiple Vector-valued Bivariate Wavelet Packets [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(2): 208-213.