Title :
The research of characters of biorthogonal non-tensor three-dimensional wavelet packets
Author :
Luo Ping ; Tian Xin-Xian
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
Wavelet analysis is a popular subject in science research. The notion of univariate orthogonal wavelet packets is generalized. First, the notion of biorthogonal nonseparable tri-variate wavelet packets is proposed and a procedure for constructing them is presented. Next, the biorthogonality property of trivariate wavelet packets is investigated, and three biorthogonality formulas of wavelet packets are established.
Keywords :
wavelet transforms; biorthogonal nonseparable trivariate wavelet packets; biorthogonal nontensor 3D wavelet packets; biorthogonality formulas; biorthogonality property; univariate orthogonal wavelet packets; wavelet analysis; Educational institutions; Fourier series; Hilbert space; Mathematics; Multiresolution analysis; Nonlinear equations; Tensile stress; Wavelet analysis; Wavelet packets; Wavelet transforms; biorthogonal; refinement equation; scaling function; 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.2010.5451648
