DocumentCode :
3046506
Title :
A Study of Orthogonal Matrix-valued Multivariate Wavelet Packets Associated with a Dilation Matrix
Author :
Lu, Jun ; Li, Tizheng
Author_Institution :
Dept. of Math., Zhengzhou Teachers´´ Coll., Zhengzhou, China
Volume :
4
fYear :
2009
fDate :
19-21 May 2009
Firstpage :
360
Lastpage :
363
Abstract :
The notion of matrix-valued multiresolution analysis of space L2(R3,Crtimesr) 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 L2(R3,Crtimesr) is obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.
Keywords :
functional analysis; matrix algebra; time-frequency analysis; wavelet transforms; dilation matrix; functional analysis method; higher-dimensional wavelet packet; matrix theory; matrix-valued multiresolution analysis; orthogonal matrix-valued multivariate wavelet packet; time-frequency analysis method; Educational institutions; Functional analysis; Intelligent systems; Mathematics; Multidimensional systems; Multiresolution analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Wavelet transforms; higher-dimensional; matrix-valued; orthonormal basis; wavelet packets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
Conference_Location :
Xiamen
Print_ISBN :
978-0-7695-3571-5
Type :
conf
DOI :
10.1109/GCIS.2009.401
Filename :
5209271
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3046506
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