Title :
Notice of Retraction
The description of multiple vector-valued dual multidimensional wavelet wraps and dual pseudoframes
Author :
Luo Ping ; Pan Zhi-min
Author_Institution :
Dept. of Fundamentals, Henan Polytech. Inst., Nanyang, 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 this paper, the notion of multiresolution matrix-valued multiresolution analysis is introduced. A method for constructing biorthogonal multiple vector-valued multivariate wavelet wraps is put forward 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 :
image resolution; matrix algebra; time-frequency analysis; wavelet transforms; Riesz bases; biorthogonal matrix wavelet packets; dual pseudoframes; matrix theory; multiresolution analysis; multiresolution matrix valued; multivariate wavelet wraps; operator theory; time-frequency analysis; Artificial intelligence; Silicon compounds; biorthogonal; matrix-valued; multi-scale dilation factor; multidimensional; wavelet packs; wavelet wrap;
Conference_Titel :
Computer Science and Information Technology (ICCSIT), 2010 3rd IEEE International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-5537-9
DOI :
10.1109/ICCSIT.2010.5564046
