Construction and characterizations of orthogonal vector-valued multivariate wavelet packets

被引：17
|
作者：
Chen, Qingjiang [1 ,2 ]
Cao, Huaixin [1 ]
Shi, Zhi [2 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 04期
基金：
中国国家自然科学基金;
关键词：
E-INFINITY THEORY; SPACE;
D O I：
10.1016/j.chaos.2007.09.066
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the notion of orthogonal vector-valued wavelet packets of the space L-2(R-s, C-d) is introduced. A method for constructing the orthogonal vector-valued wavelet packets is presented. Their properties are investigated by virtue of time-frequency analysis method, matrix theory and finite group theory, and three orthogonality formulas with respect to the wavelet packets are established. Orthogonal decomposition relation formulas of L-2(R-s, C-d) are obtained by constructing a series of subspaces of vector-valued wavelet packets. In particular, it is shown how to construct various orthonormal bases of L-2(R-s, C-d) from these wavelet packets. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1835 / 1844
页数：10
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