Title :
Characteristics of orthogonal vector-valued wavelet packet bases
Author :
Wang, Junqiu ; Liu, Baocang
Author_Institution :
Sch. of Sci., Xi´´an Univ. of Archit. & Technol., Xi´´an, China
Abstract :
Wavelet analysis has become a popular subject in scientific research for twenty years. In this article, the multiple vector-valued wavelet packets are introduced. An approach for constructing the multiple vector-valued wavelet packets is proposed. Their properties are investigated by using integral transformation and operator theory. Finally, new orthonormal bases of space L2(R,Cvtimesv) are obtained by constructing a series of subspaces of the multiple vector-valued wavelet packets.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; integral transformation; matrix theory; operator theory; orthogonal vector-valued wavelet packet base; scientific research; time-frequency analysis method; wavelet analysis; Discrete wavelet transforms; Electronic mail; Fractals; Frequency; Integral equations; Mathematics; Multiresolution analysis; Signal processing; Wavelet analysis; Wavelet packets; Multiple; Orthogonal; Vector-valued multiresolution analysis; Vector-valued wavelets; Wavelet packets;
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.2009.5195309