A Survey of Orthogonal Matrix-valued Two-dimensional Wavelet Packets with an Integer Quantity Dilation Matrix

被引：0
|
作者：
Gao, Hongwei [1 ]
Cao, Yanping [2 ]
机构：
[1] Yulin Univ, Dept Math, Yulin 719000, Peoples R China
[2] Xian Univ Arch & Tech, Sch Sci, Xian 710055, Peoples R China
来源：
2009 INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND INFORMATION APPLICATION TECHNOLOGY,VOL I, PROCEEDINGS | 2009年
关键词：
D O I：
10.1109/ESIAT.2009.411
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this work, the notion of orthogonal matrix-valued two-dimensional wavelet packets with an integer Quantity Dilation Matrix is introduced. A procedure for constructing them is presented. Their orthogonal properties are discussed by virtue of finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas on the wavelet packets are established.
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页码：615 / +
页数：2
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