Title :
The Research of a Class of Orthogonal Vector-ValuedWavelet Packets
Author :
An, Zongling ; Guo, Mingpu
Author_Institution :
Sch. of Educ., Nanyang Inst. of Technol., Nanyang
Abstract :
In this paper, the notion of vector-valued multiresolution analysis is proposed and the definition of orthogonal vector-valued wavelet packets is given. The properties for the vector-valued wavelet packets have been discussed and three orthogonality formulas concerning the wavelet packets are derived. In particular, a new orthogonal basis of vector-valued function space is obtained from these wavelet packets.
Keywords :
signal resolution; vectors; wavelet transforms; orthogonal vector-valued wavelet packets; orthogonality formulas; vector-valued multiresolution analysis; Discrete wavelet transforms; Educational technology; Fourier transforms; Hydrogen; Image coding; Integral equations; Multiresolution analysis; Signal processing; Wavelet analysis; Wavelet packets; orthogonal basis; vector-valued multiresolution analysis; vector-valued scaling function; wavelet packets;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.184
