The Characterization of a Class of Orthogonal Multiple Vector-valued Compactly Supported Wavelet Packets with Five-scale

Author

Quan, Yuxi ; Yan, Lieya

Author_Institution

Sch. of Sci., Xi´´an Univ. of Arch, & Tech., Xi´´an, China

Volume

3

fYear

2009

fDate

19-21 May 2009

Firstpage

247

Lastpage

251

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 multiple vector-valued wavelet packets are defined and investigated. A procedure for constructing the multiple vector-valued wavelet packets is presented. The properties of multiple 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 multiple vector-valued wavelet packets.

Keywords

vectors; wavelet transforms; compactly supported wavelet packets; integral transformation; orthogonal multiple vector-valued wavelet packets; wavelet analysis; Aggregates; Discrete wavelet transforms; Frequency; Image coding; Intelligent systems; Power engineering and energy; Power engineering computing; Signal processing; Wavelet analysis; Wavelet packets; multiple; orthogonal; vector-valued scaling function; vector-valued wavelet packets; vector-valued wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Systems, 2009. GCIS '09. WRI Global Congress on

Conference_Location

Xiamen

Print_ISBN

978-0-7695-3571-5

Type

conf

DOI

10.1109/GCIS.2009.407

Filename

5209159