DocumentCode :
497130
Title :
On Characteristics of Biorthogonal Vector-Valued Multivariate Wavelet Packets Associated with a Quantity Dilation Matrix
Author :
Du, Shude ; Yuan, Deyou
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
Volume :
1
fYear :
2009
fDate :
4-5 July 2009
Firstpage :
611
Lastpage :
614
Abstract :
Wavelet analysis has been a widely applied one method for analyzing signal. In this work, the notion of vector-valued wavelet packets for space L2(Rn)s is proposed, which are generalizations of univariate wavelet packets. A constructive method for a class of biorthogonal vector-valued multivariate wavelet packets is formulated and their biorthogonality properties are discussed by virtue of matrix theory, and operator theory. Three biorthogonality formulas concerning these wavelet packets are provided. Furthermore, new Riesz bases of space L2(Rn)s from these wavelet packets are obtained.
Keywords :
computational complexity; matrix algebra; signal processing; time-frequency analysis; wavelet transforms; biorthogonal vector-valued multivariate wavelet packets; operator theory; quantity dilation matrix; signal analysis; signal processing; time-frequency localization property; univariate wavelet packets; Aggregates; Discrete transforms; Information analysis; Mathematics; Pixel; Signal analysis; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; biorthogonality formulas; scaling functions; vector-valued; wavelet packets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Environmental Science and Information Application Technology, 2009. ESIAT 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-0-7695-3682-8
Type :
conf
DOI :
10.1109/ESIAT.2009.399
Filename :
5200196
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=497130
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