Title :
Investigation into Orthogonality Qualities of Multivariable Wavelet Packet Bases
Author :
Lv, Baoxian ; Tian, Xinxian
Author_Institution :
Dept. of Math., Coll. of Pingdingshan Educ., Pingdingshan, China
Abstract :
In this paper, the notion of orthogonal vector-valued multivariable wavelet packets with 11-scale in higher dimensions is proposed. A novel approach for constructing them is presented. Their orthogonality property are characterized by virtue finite group theory,time-frequency analysis method and matrix theory. Orthogonality formulas are obtained.
Keywords :
group theory; matrix algebra; time-frequency analysis; vectors; wavelet transforms; finite group theory; matrix theory; multivariable wavelet packets; orthogonal vector; orthogonality formulas; time-frequency analysis; Educational institutions; Fourier transforms; Frequency estimation; Information technology; Mathematics; Power system harmonics; Time frequency analysis; Wavelet analysis; Wavelet packets; Wavelet transforms; Multivariable; Orthogonality formulas; multiresolution analysis; orthogonal; vector-valued wavelets;
Conference_Titel :
Intelligent Information Technology Application Workshops, 2009. IITAW '09. Third International Symposium on
Conference_Location :
Nanchang
Print_ISBN :
978-1-4244-6420-3
Electronic_ISBN :
978-1-4244-6421-0
DOI :
10.1109/IITAW.2009.37
