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
收藏
页码：41 / 53
页数：12
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