DocumentCode
2231564
Title
The Characterization of a kind of Orthogonal Vector-Valued Wavelet Packets with Compact Support
Author
Li, Jie ; Wei, Yanjun
Author_Institution
Dept. of Coputer Sci., Shangqiu Vocational & Tech. Coll., Shangqiu, China
fYear
2009
fDate
26-28 Dec. 2009
Firstpage
3482
Lastpage
3485
Abstract
In this article, the notion of vector-valued multiresolution analysis is introduced and the definition of orthogonal vector-valued wavelet packets is proposed. The characteristics of the vector-valued wavelet packets has been investigated and three orthogonality formulas regarding the wavelet packets are derived. In particular, it is shown how to obtain a new orthogonal basis of the vector-valued function space from these wavelet packets.
Keywords
wavelet transforms; compact support; orthogonal vector valued wavelet packets; orthogonality formulas; vector valued multiresolution analysis; Discrete wavelet transforms; Educational institutions; Fourier transforms; Frequency; Information science; Signal processing; Signal resolution; Wavelet analysis; Wavelet packets; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-4909-5
Type
conf
DOI
10.1109/ICISE.2009.1185
Filename
5455483
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