Title :
Notice of Retraction
The description for properties of biorthogonal higher-dimensional wavelet packets with respect to a dilation matrix
Author :
Jinchang Shi ; Shuiwang Guo
Author_Institution :
Dept. of Comput. Sci., Huanghuai Univ., Zhumadian, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
In the paper, the notion of matrix-valued multiresolution analysis is introduced. A method for constructing biorthogonal matrix-valued wavelet packets in higher dimensions is presented and their properties are investigated by means of time-frequency analysis method, matrix theory and operator theory. Three biorthogonality formulas concerning these wavelet packets are obtained. Finally, new Riesz bases of three dimensional matrix-valued function space are obtained by designing a series of subspaces of biorthogonal matrix wavelet packets.
Keywords :
matrix algebra; signal resolution; time-frequency analysis; wavelet transforms; Riesz bases; biorthogonal matrix; dilation matrix; matrix theory; matrix-valued multiresolution analysis; operator theory; time-frequency analysis; wavelet packets; Biomedical signal processing; Computer science; Discrete transforms; Fractals; Image coding; Multiresolution analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Wavelet transforms; affine frames; biorthogonal; mltivariate; time-frequency analysis method; wavelet packets;
Conference_Titel :
Computer Engineering and Technology (ICCET), 2010 2nd International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-6347-3
DOI :
10.1109/ICCET.2010.5486329
