The Properties of Biorthogonal Vector-valued Bivariate Wavelet Packets

被引：3
|
作者：
Wang, Junqiu [1 ]
Wang, Jian-Guo [1 ]
机构：
[1] Xian Univ Arch & Tech, Sch Sci, Xian 710055, Peoples R China
来源：
PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL IV | 2009年
关键词：
D O I：
10.1109/GCIS.2009.408
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we introduce a class of vector-valued wavelet packets of space L-2(R-2)(u), which are generalizations of bivariable wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Furthermore, it is shown how to obtain new Riesz bases of space L-2(R-2)(u) from these wavelet packets.
引用
收藏
页码：547 / 551
页数：5
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