Title :
A study of general orthogonal four-element wavelet packet bases
Author :
Chen, Qing-jiang ; Li, Xiang-hai ; Yang, Jian-wei
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
Abstract :
In this article, the notion of orthogonal nonseparable four-dimensional wavelet packets, which is the generalization of orthogonal univariate wavelet packets, is introduced. A new approach for constructing them is presented by iteration method. The orthogonality properties of four-dimensional wavelet packets are discussed. Three orthogonality formulas concerning these wavelet packets are established.
Keywords :
iterative methods; packet radio networks; wavelet transforms; 4D wavelet packets; iteration method; orthogonal four-element wavelet packet bases; orthogonal nonseparable four-dimensional wavelet packets; orthogonal univariate wavelet packets; Fourier transforms; Manganese; Multiresolution analysis; Pattern recognition; Wavelet packets; Four-dimensional; Iteration method; Orthogonal wavelet packets; Scaling functions;
Conference_Titel :
Wavelet Analysis and Pattern Recognition (ICWAPR), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6530-9
DOI :
10.1109/ICWAPR.2010.5576353
