Title :
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
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;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1342244
