Title :
Investigation into characteristics of orthogonal nonseparable wavelet packets in three-dimensional space
Author :
Wang, Dongxia ; Song, Deyao
Author_Institution :
Dept. of Math. & Phys., Henan Univ. of Urban Constr., Pingdingshan, China
Abstract :
In this paper, the notion of orthogonal nonseparable trivariate wavelet packets which is the generalization of orthogonal univariate wavelet packets, is introduced. A new procedure for constructing them is presented. Their orthogonality property is characterized by the filter bank theory and time-frequency analysis. Three orthogonality formulas concerning these wavelet packets are established.
Keywords :
channel bank filters; time-frequency analysis; wavelet transforms; filter bank theory; orthogonal nonseparable trivariate wavelet packets; three-dimensional space; time-frequency analysis; Filter bank; Fourier transforms; Mathematics; Multiresolution analysis; Nonlinear equations; Physics; Tensile stress; Time frequency analysis; Wavelet analysis; Wavelet packets; orthogonal, scaling function; refinement equation; trivariate; wavelet packets;
Conference_Titel :
Computer and Automation Engineering (ICCAE), 2010 The 2nd International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-5585-0
Electronic_ISBN :
978-1-4244-5586-7
DOI :
10.1109/ICCAE.2010.5451733
