Title :
On Characteristics of Biorthogonal Nonseparable Bivariate Wavelet Packets
Author :
Zhang, Xiaodong ; Song, Deyao
Author_Institution :
Elementary Dept., Henan Quality Polytech., Pingdingshan, China
Abstract :
In this paper, the notion of multiresolution analysis for bivariate function space is introduced. The concept of nonseparable biorthogonal bivariate wavelet packets is proposed, which is a generalization of uni-wavelet packets. A procedure for constructing them is presented by using separable variable method. Next, the biorthogonality property of biorthogonal bivariate wavelet packets is characterized and biorthogonality formulas regarding the wavelet packets are obtained.
Keywords :
wavelet transforms; biorthogonal nonseparable bivariate wavelet packet; biorthogonality formula; biorthogonality property; bivariate function space; multiresolution analysis; separable variable method; uniwavelet packet; Equations; Fourier transforms; Intelligent systems; Multiresolution analysis; Spline; Tensile stress; Time frequency analysis; Variable speed drives; Wavelet analysis; Wavelet packets; biorthogonal; bivariate function space; nonseparable; scaling function; wavelet packets;
Conference_Titel :
Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
Conference_Location :
Xiamen
Print_ISBN :
978-0-7695-3571-5
DOI :
10.1109/GCIS.2009.410
