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

页码：2765 / 2778

页数：14

共 28 条

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