Construction and compression analysis of a kind of biorthogonal wavelets

Author

He, Gang ; Zhang, Yuzhuo ; Wu, Yonghong ; Li, Jianghong

Author_Institution

Dept. of Autom. Control, Northwestern Polytech. Univ., Xi´´an, China

Volume

5

fYear

2004

Firstpage

3975

Abstract

When the lifting scheme is applied to construct a kind of biorthogonal wavelets, a method of seeking a predict operator and update operator is given by W. Sweldens. We propose another method of seeking the predict operator and update operator by utilizing multiresolution analysis, perfect reconstruction, and pulse function. Then dual wavelet function and scaling and primal wavelet function are determined. Compared with W. Sweldens method, our algorithm is simpler and easier. Finally, the simulation shows that the wavelet constructed in the paper has good compression performance.

Keywords

data compression; filtering theory; signal reconstruction; signal resolution; wavelet transforms; biorthogonal wavelets; compression analysis; dual wavelet function; filtering theory; lifting scheme; multiresolution analysis; perfect reconstruction; predict operator; primal wavelet function; pulse function; update operator; Biomedical signal processing; Equations; Filter bank; Interpolation; Mathematical analysis; Multiresolution analysis; Polynomials; Signal processing algorithms; Wavelet analysis; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on

Print_ISBN

0-7803-8273-0

Type

conf

DOI

10.1109/WCICA.2004.1342244

Filename

1342244