Title :
Notice of Retraction
Characteristics of higher-dimensional nonseparable wavelet packet bases
Author :
Baomin Yu ; Qingjiang Chen
Author_Institution :
Dept. of Math. & Inf. Sci., Weinan Teachers Univ., Weinan, 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.
Wavelet analysis has become one of popular subjects in scientific research for twenty years. In this paper, the concept of orthogonal vector-valued wavelet packets with 3-scale in higher dimensions is introduced. A procedure for constructing them is presented. Their orthogonal properties are characterized by virtue finite group theory, time-frequency analysis method and matrix theory. Orthogonality formulas are obtained.
Keywords :
group theory; matrix algebra; time-frequency analysis; wavelet transforms; higher-dimensional nonseparable wavelet packet bases; matrix theory; orthogonal vector-valued wavelet packets; time-frequency analysis method; virtue finite group theory; Aggregates; Fourier transforms; Image coding; Information science; Mathematics; Multidimensional signal processing; Multiresolution analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; vector-valued multiresolution analysis; vector-valued scaling functions; vector-valued wavelet;
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.2010.5485350
