A study of orthogonal matrix-valued multivariate wavelet packets associated with a dilation matrix

被引：0
|
作者：
Lu, Jun [1 ]
Li, Tizheng [2 ]
机构：
[1] Zhengzhou Teachers Coll, Dept Math, Zhengzhou 450044, Peoples R China
[2] 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.2009.401
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The notion of matrix-valued multiresolution analysis of space L-2(R-3, C-r x r) is introduced An approach for constructing orthogonal matrix-valued higher-dimensional wavelet packets is presented and their properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are obtained Finally, one new orthonormal basis of L-2(R-3, C-r x r) is obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.
引用
收藏
页码：360 / +
页数：2
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