Construction and decomposition of biorthogonal vector-valued wavelets with compact support

被引：9
|
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 / 42卷 / 05期
关键词：
EPSILON((INFINITY)) SPACE-TIME; SCALE RELATIVITY THEORY; THERMAL-CONDUCTIVITY; E-INFINITY; PACKETS; NANOFLUIDS; MULTIWAVELETS; COMPRESSION; PARTICLES; TRANSPORT;
D O I：
10.1016/j.chaos.2009.03.187
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we introduce vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets with four-scale. The existence of a class of biorthogonal vector-valued wavelets with compact support associated with a pair of biorthogonal vector-valued scaling functions with compact support is discussed. A method for designing a class of biorthogonal compactly supported vector-valued wavelets with four-scale is proposed by virtue of multiresolution analysis and matrix theory. The biorthogonality properties concerning vector-valued wavelet packets are characterized with the aid of time-frequency analysis method and operator theory. Three biorthogonality formulas regarding them are presented. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2765 / 2778
页数：14
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