Title :
The Optimization Algorithm Concerning Biorthogonal Four-Element Wavelets and Wavelet Packets
Author :
Guo Hong-lin ; Duan Zhi-xia
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
The advantages of wavelet packets and their promising features in various application have attracted a lot of interest and effort, in recent years. In this paper, the notion of biorthogonal nonseparable four-variate wavelet packets, which is the generalization of orthogonal univariate wavelet packets, is introduced. A novel algorithm for constructing them, is presented by virtue of iteration method. The biorthogonality property of quarternary wavelet packets are investigated. Three biorthogonality formulas concerning these wavelet wraps are established.
Keywords :
iterative methods; optimisation; signal denoising; wavelet transforms; biorthogonal four element wavelet; iteration method; optimization algorithm; quarternary wavelet; wavelet packet; wavelet wrap; Equations; Fourier transforms; Multiresolution analysis; Time frequency analysis; Wavelet packets; biorthogonal; filter banks; four-variate; iteration method; scaling function; wavelet frames; wavelet packets;
Conference_Titel :
Intelligent Systems (GCIS), 2010 Second WRI Global Congress on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-9247-3
DOI :
10.1109/GCIS.2010.238
