DocumentCode :
2988221
Title :
A study of multiple vector-valued wavelet packets associated with a dilation matrix in higher dimensions
Author :
Feng, Jin-Shun ; Wang, Hui
Author_Institution :
Sch. of Educ., Nanyang Inst. of Technol., Nanyang
Volume :
2
fYear :
2008
fDate :
30-31 Aug. 2008
Firstpage :
507
Lastpage :
512
Abstract :
In this paper, the notion of multiple vector-valued multiresolution analysis of space L2(Rs,Crtimesr) is introduced. A method for constructing biorthogonal multiple vector-valued wavelet packets in higher dimensions is presented and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas concerning these wavelet packets are obtained. Finally, new Riesz bases of space L2(Rs,Crtimesr) is obtained by constructing a series of subspaces of biorthogonal vector-valued wavelet packets.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; biorthogonal multiple vector-valued wavelet packets; dilation matrix; higher dimensions; matrix theory; operator theory; time-frequency analysis method; Discrete wavelet transforms; Educational technology; Functional analysis; Multiresolution analysis; Pattern analysis; Pattern recognition; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonality; Multiresolution Analysis; Riesz Bases; Vector-valued; Wavelet Packets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
Type :
conf
DOI :
10.1109/ICWAPR.2008.4635833
Filename :
4635833
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2988221
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