DocumentCode
538925
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
Volume
2
fYear
2010
fDate
16-17 Dec. 2010
Firstpage
299
Lastpage
302
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Systems (GCIS), 2010 Second WRI Global Congress on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-9247-3
Type
conf
DOI
10.1109/GCIS.2010.238
Filename
5709273
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