A feasible method for constructing biorthogonal vector-valued finitely supported wavelets

Author

Lv, Baoxian ; Gao, Hailin

Author_Institution

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

fYear

2010

fDate

16-18 April 2010

Firstpage

15

Lastpage

19

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

filtering theory; image resolution; vectors; wavelet transforms; biorthogonal finitely supported vector-valued scaling function; biorthogonal vector-valued finitely supported wavelets; filter bank theory; multiresolution analysis approach; vector-valued multiresolution analysis; Biomedical signal processing; Discrete wavelet transforms; Filter bank; Fourier transforms; Frequency estimation; Hydrogen; Image coding; Power system harmonics; Wavelet analysis; Wavelet transforms; biorthogonal; filter banks; finite support; univariate; vector-valued; wavelets;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Management and Engineering (ICIME), 2010 The 2nd IEEE International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-5263-7

Electronic_ISBN

978-1-4244-5265-1

Type

conf

DOI

10.1109/ICIME.2010.5477507

Filename

5477507