A novel algorithm for designing biorthogonal five-scale wavelets

Author

Ge Ma ; De-You Yuan

Author_Institution

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

Volume

2

fYear

2010

fDate

26-28 Feb. 2010

Firstpage

363

Lastpage

367

Abstract

In this paper, the notion of vector-valued multiresolution analysis and biorthogonal vector wavelets are introduced. The existence of biorthogonal finitely supported vector-valued wavelets associated with a pair of biorthogonal finitely supported vector-valued scaling functions is discussed. A procedure for designing a class of biorthogonal vector-valued finitely supported wavelet functions is proposed by virtue of multiresolution analysis approach and filter bank theory.

Keywords

wavelet transforms; biorthogonal five-scale wavelets; biorthogonal vector wavelets; biorthogonal wavelet functions; filter bank theory; finitely supported wavelet functions; vector-valued multiresolution analysis; vector-valued scaling functions; vector-valued wavelet functions; vector-valued wavelets; Algorithm design and analysis; Differential equations; Discrete wavelet transforms; Filter bank; Frequency; Mathematics; Multiresolution analysis; Signal processing algorithms; Wavelet analysis; Wavelet transforms; filter bank theory trivariate; refinement equation; scaling functions; vector-valued wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer and Automation Engineering (ICCAE), 2010 The 2nd International Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4244-5585-0

Electronic_ISBN

978-1-4244-5586-7

Type

conf

DOI

10.1109/ICCAE.2010.5451554

Filename

5451554