Construction of a Sort of Biorthogonal Vector Wavelets with Four-scale

Author

Guo, Mingpu ; Wang, Ping-An

Author_Institution

Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China

fYear

2009

fDate

21-22 Nov. 2009

Firstpage

161

Lastpage

164

Abstract

In this article, the vector-valued multiresolution analysis and the biorthogonal vector-valued wavelets with four-scale are introduced. Existence conditions of biorthogonal vector-valued wavelets with finite support associated with a pair of biorthogonal vector-valued finitely supported scaling functions are presented. A novel method for constructing a class of biorthogonal finitely supported vector-valued wavelets with four-scale is proposed by using matrix theory and multiresolution analysis.

Keywords

matrix algebra; signal resolution; vectors; wavelet transforms; biorthogonal vector wavelets; four-scale; matrix theory; scaling functions; vector-valued multiresolution analysis; vector-valued wavelets; Fourier transforms; Fractals; Frequency estimation; Hydrogen; Image processing; Information technology; Multiresolution analysis; Signal analysis; Wavelet analysis; Wavelet transforms; biorthogonal; finite support; four-scale; multiresolution analysis; vector-valued wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Information Technology Application Workshops, 2009. IITAW '09. Third International Symposium on

Conference_Location

Nanchang

Print_ISBN

978-1-4244-6420-3

Electronic_ISBN

978-1-4244-6421-0

Type

conf

DOI

10.1109/IITAW.2009.18

Filename

5419471