DocumentCode :
2930563
Title :
Researches into Orthogonal Multivariate Wavelet Packets with Finite Support
Author :
Feng, Jinshun ; Qiao, Xuejun
Author_Institution :
Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China
Volume :
3
fYear :
2009
fDate :
21-22 Nov. 2009
Firstpage :
640
Lastpage :
643
Abstract :
Wavelet theory has been the focus of active research for twenty years, both in theory and applications. In this paper, the notion of orthogonal vector-valued multivariate wavelet packets with five-scale is proposed. A novel procedure for constructing them is developed. Their orthogonal properties are characterized by virtue finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas are established. New orthonormal bases of L2(Rs, Cr) are obtained drawn from these vector-valued wavelet packets.
Keywords :
group theory; matrix algebra; time-frequency analysis; wavelet transforms; finite group theory; finite support; matrix theory; orthogonal vector-valued multivariate wavelet packets; orthogonality formulas; time-frequency analysis method; Aggregates; Educational technology; Fourier transforms; Frequency estimation; Information technology; Power system analysis computing; Power system harmonics; Time frequency analysis; Wavelet analysis; Wavelet packets; finite support; matrix theory; multivariate; orthogonality formulas; vector-valued wavelet packets;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Information Technology Application, 2009. IITA 2009. Third International Symposium on
Conference_Location :
Nanchang
Print_ISBN :
978-0-7695-3859-4
Type :
conf
DOI :
10.1109/IITA.2009.264
Filename :
5370188
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2930563
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