DocumentCode :
3020230
Title :
The survey of biorthogonal vector-valued multivariate wavelet packets with nine-scale
Author :
Chen, Qing-jiang ; An, Zong-ling
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
fYear :
2009
fDate :
12-15 July 2009
Firstpage :
417
Lastpage :
422
Abstract :
In this paper, we introduce a class of vector-valued wavelet packets of space L2(Rs,Cv), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued higher-dimensional wavelet packets is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to obtain new Riesz bases of space L2(Rs,Cv) from these wavelet packets.
Keywords :
mathematical operators; matrix algebra; time-frequency analysis; vectors; wavelet transforms; biorthogonal wavelet; matrix theory; operator theory; time-frequency analysis method; vector-valued packet; Educational technology; Electronic mail; Functional analysis; Multidimensional systems; Pattern analysis; Pattern recognition; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonality; Multiresolution analysis; Vector-valued; Wavelet packets; multivariate;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3728-3
Electronic_ISBN :
978-1-4244-3729-0
Type :
conf
DOI :
10.1109/ICWAPR.2009.5207453
Filename :
5207453
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3020230
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