Title :
The Presentation for the Properties of Biorthogonal Vector-Valued Wavelet Packets with Six-Scale Dilation
Author :
Luo, Ping ; Lv, Baoxian
Author_Institution :
Elementary Dept., Henan Polytech. Inst., Nanyang, China
Abstract :
In this paper, the notion of biorthogonal vector-valued wavelet packets in higher dimensions is introduced. A feasible procedure for designing these vector-valued wavelet packets is presented. Their biorthogonality properties are characterized by using time-frequency analysis method, matrix theory and finite group theory. Three biorthogonality formulas are established.
Keywords :
group theory; matrix algebra; time-frequency analysis; wavelet transforms; biorthogonal vector-valued wavelet packets; finite group theory; matrix theory; six-scale dilation; time-frequency analysis method; Fourier transforms; Hydrogen; Image coding; Information science; Signal processing; Signal resolution; Time frequency analysis; Variable speed drives; Wavelet packets; Wavelet transforms;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.1243
