Title :
Construction and properties of vector bivariate wavelet packets with respect to a quantity dilation matrix
Author :
Wang, Huailing ; Ma, Ge
Author_Institution :
Dept. of Math., Pingdingshan Coll. of Educ., Pingdingshan, China
Abstract :
In this work, the notion of vector-valued multiresolution analysis of space L2(R2, Cr) is introduced. An approach for constructing biorthogonal vector-valued bivariate wavelet packets is presented and their properties are investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas regarding the wavelet packets are obtained. Finally, new Riesz bases of space L2(R2, Cr) are constructed by designing a series of subspaces composed of these wavelet packets.
Keywords :
matrix algebra; time-frequency analysis; wavelet transforms; Riesz bases of space; biorthogonal vector-valued bivariate wavelet packet; biorthogonality formula; matrix theory; operator theory; quantity dilation matrix; time-frequency analysis; vector-valued multiresolution analysis of space; Discrete wavelet transforms; Educational institutions; Educational technology; Functional analysis; Mathematics; Multiresolution analysis; Signal resolution; Space technology; Wavelet analysis; Wavelet packets; Riesz basis; biorthogonal, scaling function; bivariate; wavelet packets;
Conference_Titel :
Computer and Automation Engineering (ICCAE), 2010 The 2nd International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-5585-0
Electronic_ISBN :
978-1-4244-5586-7
DOI :
10.1109/ICCAE.2010.5451737
