The Characterization of Orthogonal Matrix-valued Multivariable Wavelet Packets Associated with an Integer-valued Dilation Matrix

被引：0

作者：

Yuan, Deyou ^{[1
]}

机构：

[1] Nanyang Inst Technol, Dept Appl Math, Nanyang 473000, Peoples R China

来源：

PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL II | 2009年

关键词：

D O I：

10.1109/GCIS.2009.403

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 of matrix-valued higher-dimensional functions 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 bases of L(2)(R(d), C(r) (x) (r)) are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.

引用

页码：577 / 580

页数：4

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