A Novel Constructional Method for Designing a Class of Orthogonal Wavelets with Finite Support

Author

Du, Shude ; Hua, Delin

Author_Institution

Dept. of Appl. Math., Nanyang Inst. of Technol., Nanyang, China

Volume

2

fYear

2009

fDate

7-8 Nov. 2009

Firstpage

189

Lastpage

193

Abstract

Wavelet analysis has been developed a mathematical branch. It has been a powerful tool for solving many complicated engineering problems. In this article, the notion of vector-valued multiresolution analysis is introduced and the definition of orthogonal vector-valued wavelets. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is given by using paraunitary vector filter bank theory. A novel method for constructing a class of finitely supported orthogonal vector-valued wavelets is proposed.

Keywords

filtering theory; vectors; wavelet transforms; constructional method; finite support; orthogonal vector-valued wavelets; orthogonal wavelets; paraunitary vector filter bank theory; vector-valued multiresolution analysis; wavelet analysis; Artificial intelligence; Computational intelligence; Design methodology; Discrete wavelet transforms; Educational technology; Mathematics; Multiresolution analysis; Power engineering and energy; Variable speed drives; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Artificial Intelligence and Computational Intelligence, 2009. AICI '09. International Conference on

Conference_Location

Shanghai

Print_ISBN

978-1-4244-3835-8

Electronic_ISBN

978-0-7695-3816-7

Type

conf

DOI

10.1109/AICI.2009.297

Filename

5376439