Title :
The research of orthogonal vector-valued wavelet packets
Author :
Wang, Hui ; Song, Suluo
Author_Institution :
Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China
Abstract :
Wavelet analysis has been developing a branch of mathematics. In this paper, the notion of vector-valued univariate wavelet packets is introduced. A new procedure for constructing the vector-valued wavelet packets is presented. Their properties are discussed by virtue of time-frequency analysis method and operator theory. Orthogonality formulas are established. Finally, two new orthogonal bases of L2(R, Cn) are constructed from these orthogonal multiple vector-valued wavelet packets.
Keywords :
signal processing; time-frequency analysis; wavelet transforms; operator theory; orthogonal vector-valued wavelet packet; signal processing; time-frequency analysis method; univariate wavelet packet; wavelet analysis; Discrete wavelet transforms; Educational technology; Image coding; Integral equations; Mathematics; Multiresolution analysis; Signal processing; Time frequency analysis; Wavelet analysis; Wavelet packets; Orthogonal; Univariate; Vector-valued multiresolution analysis; Vector-valued wavelet packets; Vector-valued wavelets;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5192624
