Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix

被引：52
|
作者：
Chen, Qingjiang [1 ]
Shi, Zhi [1 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2008年 / 35卷 / 02期
关键词：
D O I：
10.1016/j.chaos.2007.06.065
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the notion of multiple vector-valued multiresolution analysis of space L-2(R-S, C-rxr) is introduced. A method for constructing biorthogonal multiple vector-valued wavelet packets in higher dimensions is presented and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas concerning these wavelet packets are obtained. Finally, new Riesz bases of space L-2(R-S, C-rxr) is obtained by constructing a series of subspaces of biorthogonal multiple vector-valued wavelet packets. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：323 / 332
页数：10
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