DocumentCode :
498364
Title :
The Characterization of Orthogonal Matrix-valued Multivariable Wavelet Packets Associated with an Integer-valued Dilation Matrix
Author :
Yuan, Deyou
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
Volume :
2
fYear :
2009
fDate :
19-21 May 2009
Firstpage :
577
Lastpage :
580
Abstract :
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 L2(Rd,Crtimesr) are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; functional analysis; integer-valued dilation matrix; matrix theory; matrix-valued higher-dimensional function; matrix-valued multiresolution analysis; orthogonal matrix-valued higher-dimensional wavelet packet; orthogonal matrix-valued multivariable wavelet packet; orthogonality formula; orthonormal bases; time-frequency analysis; Discrete wavelet transforms; Functional analysis; Intelligent systems; Mathematics; Multidimensional systems; Multiresolution analysis; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; higher-dimensional; matrix-valued; multiresolution analysis; orthogonal; 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.2009.403
Filename :
5209358
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=498364
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