Title :
The Properties of a Class of Two-Direction Compactly Supported Wavelet Packets with a Positive Integer Dilation Factor
Author :
Wang, Xiaofeng ; Zhou, Mei
Author_Institution :
Dept. of Math. & Phys., Henan Univ. of Urban Constr., Pingdingshan, China
Abstract :
In this article, the notion of biorthogonal two-directional compactly supported wavelet packets with a positive integer dilation factor is introduced. A new approach for constructing biorthogonal two-directional wavelet packets is developed and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. The formulas for performing iterations and decomposition are established. Finally, two new Riesz bases of space L2(R) are derived.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; biorthogonal two-directional compactly supported wavelet packets; matrix theory; operator theory; positive integer dilation factor; time-frequency analysis; two-direction compactly supported wavelet packets; Artificial intelligence; Computational intelligence; Equations; Mathematics; Matrix decomposition; Multiresolution analysis; Physics; Variable speed drives; Wavelet analysis; Wavelet packets;
Conference_Titel :
Artificial Intelligence and Computational Intelligence, 2009. AICI '09. International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3835-8
Electronic_ISBN :
978-0-7695-3816-7
DOI :
10.1109/AICI.2009.299
