Title :
The properties of biorthogonal vector-valued higher dimensional wavelet packets with four-scale
Author :
Xiao-Feng ; Guo, Ming-pu
Author_Institution :
Dept. of Fundamental Sci., Pingdingshan Inst. of Technol., Pingdingshan
Abstract :
In this paper, we introduce a class of vector-valued wavelet packets of space L2(Rs,Cv), which are generalizations of multivariate wavelet packets. A procedure for constructing a class of biorthogonal vector-valued wavelet packets in higher dimensions is presented and their biorthogonality properties are characterized by virtue of matrix theory, time-frequency analysis method, and operator theory. Three biorthogonality formulas regarding these wavelet packets are derived. Moreover, it is shown how to gain new Riesz bases of space L2(Rn,Cv) from these wavelet packets.
Keywords :
matrix algebra; signal resolution; time-frequency analysis; vectors; wavelet transforms; Riesz base; biorthogonal vector-valued higher dimensional wavelet packet; matrix theory; multiresolution analysis; multivariate wavelet packet; operator theory; signal processing; time-frequency analysis; Discrete transforms; Functional analysis; Multidimensional systems; Multiresolution analysis; Pattern analysis; Pattern recognition; Space technology; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonality; Multiresolution Analysis; Multivariate; Vector-valued; Wavelet Packets;
Conference_Titel :
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-2238-8
Electronic_ISBN :
978-1-4244-2239-5
DOI :
10.1109/ICWAPR.2008.4635868
