The properties of orthogonal matrix-valued wavelet packets in higher dimensions

被引：2

作者：

Chen Q.-J. ^{[1
,2
]}

Feng J.-S. ^{[3
]}

Cheng Z.-X. ^{[2
]}

机构：

[1] College of Science, Xi'An University of Architecture and Technology

[2] School of Science, Xi'An Jongtong University

[3] School of Education, Nanyang College of Technology

来源：

Journal of Applied Mathematics and Computing | 2006年 / 22卷 / 3期

关键词：

matrix-valued multiresolution analysis; matrix-valued scaling functions; matrix-valued wavelet packets; multivariate; Refinement equation;

D O I：

10.1007/BF02832036

中图分类号：

学科分类号：

摘要：

In the paper matrix-valued multiresolution analysis and matrix-valued wavelet packets of spaceL 2(R n,C s x s) are introduced. A procedure for constructing a class of matrix-valued wavelet packets in higher dimensions is proposed. The properties for the matrix-valued multivariate wavelet packets are investigated by using integral transform, algebra theory and operator theory. Finally, a new orthonormal basis ofL 2(R n,C s x s) is derived from the orthogonal multivariate matrix-valued wavelet packets. © 2006 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.

引用

页码：41 / 53

页数：12

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