DocumentCode :
2988522
Title :
Higher-dimensional orthonormal vector-valued wavelet packet bases
Author :
Luo, Ping ; Du, Jian-gen
Author_Institution :
Elementary Dept., Henan Polytech. Inst., Nanyang
Volume :
2
fYear :
2008
fDate :
30-31 Aug. 2008
Firstpage :
602
Lastpage :
606
Abstract :
In this paper, the notion of orthogonal vector-valued wavelet packets of the space L2(Rs,Cd) is introduced. A method for constructing the orthogonal vector-valued wavelet packets is presented. Their properties are investigated by virtue of time-frequency analysis method, matrix theory and finite group theory, and three orthogonality formulas with respect to the wavelet packets are established. Several orthonormal bases of L2(Rs,Cd) are obtained by constructing a series of subspaces of vector-valued wavelet packets.
Keywords :
computational complexity; group theory; matrix algebra; time-frequency analysis; vectors; wavelet transforms; finite group theory; higher-dimensional orthonormal vector-valued wavelet packet bases; matrix theory; orthogonal vector-valued wavelet packets; refinement equation; time-frequency analysis method; Discrete wavelet transforms; Functional analysis; Image coding; Multiresolution analysis; Pattern analysis; Pattern recognition; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Multiresolution analysis; Orthonormal; Refinement equation; Scaling function; 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.2008.4635850
Filename :
4635850
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2988522
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