Title :
Researches into two-direction biorthogonal wavelet packets with four-scale dilation
Author :
Li, Qi ; Wu, Hong-E
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
Abstract :
In this work, the notion of biorthogonal two-direction compactly supported wavelet packets with four-scale dilation is introduced. We develop a new method for designing two-direction biorthogonal wavelet packets and their properties are investigated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Lastly, two new Riesz bases of space L2(R) are drawn from these wavelet packets.
Keywords :
time-frequency analysis; wavelet transforms; Riesz basis; four-scale dilation; matrix theory; operator theory; time-frequency analysis method; two-direction biorthogonal wavelet packets; Computational intelligence; Computer industry; Design methodology; Equations; Mathematics; Matrix decomposition; Multiresolution analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; biorthogonal; compact support; formatting; packets; refinable functions; two-direction; wavelet;
Conference_Titel :
Computational Intelligence and Industrial Applications, 2009. PACIIA 2009. Asia-Pacific Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4606-3
DOI :
10.1109/PACIIA.2009.5406562
