DocumentCode :
2903336
Title :
The Presentation of a Class of Orthogonal Vector-Valued Finitely Supported Wavelet Packets with an Integer Dilation Factor
Author :
Song, Suluo
Author_Institution :
Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China
Volume :
3
fYear :
2009
fDate :
4-5 July 2009
Firstpage :
497
Lastpage :
500
Abstract :
Since 1986, wavelet analysis has become a popular subject in scientific research. It has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this article, the vector-valued wavelet packets are defined and investigated. A procedure for constructing the vector-valued wavelet packets is presented. The properties of vector-valued wavelet packets are discussed by using integral transformation and operator theory. Finally, new orthogonal bases of L2(R, Cu times u) is constructed from the orthogonal vector-valued wavelet packets.
Keywords :
wavelet transforms; integer dilation factor; integral transformation; operator theory; orthogonal vector-valued wavelet packets; Aggregates; Discrete wavelet transforms; Frequency; Information analysis; Mathematics; Power engineering and energy; Power engineering computing; Signal processing; Wavelet analysis; Wavelet packets; operator theory; orthogonal bases; 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.2009.388
Filename :
5199739
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2903336
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