Title :
Design and Properties of Two-direction Compactly Supported Wavelet Packets with an Integer Dilation Factor
Author :
Lv, Baoxian ; Wang, Xiaofeng
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, China
Abstract :
In this article, the notion of biorthogonal two-direction compactly supported wavelet packets with a positive integer dilation factor ¿ is introduced. A new approach for constructing biorthogonal two-direction 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 obtained.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; Riesz base; biorthogonal two-direction wavelet packet; integer dilation factor; matrix theory; operator theory; time-frequency analysis; Equations; Fourier transforms; Information technology; Mathematics; Matrix decomposition; Multiresolution analysis; Physics; Time frequency analysis; Wavelet analysis; Wavelet packets; Riesz bases; Univariate; biorthogonal; multiresolution analysis; vector-valued wavelets;
Conference_Titel :
Intelligent Information Technology Application, 2009. IITA 2009. Third International Symposium on
Conference_Location :
Nanchang
Print_ISBN :
978-0-7695-3859-4
DOI :
10.1109/IITA.2009.229
