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, C^u ^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