Title :
Notice of Retraction
The characterization of two-directional semi-biorthogonal trivariable wavelets with several-scale dilation
Author_Institution :
Sch. of Sci., Xi´an Univ. of Arch. & Tech., Xi´an, 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.
The advantages of wavelets and their promising features in various application have attracted a lot of interest and effort in recent years. In this article, the notion of two-directional biorthogonal finitely supported trivariate wavelet packets with multi-scale is developed. Their properties is investigated by virtue of algebra theory, time-frequency analysis method and functional analysis method. In the final, new Riesz bases of space L2(R3) are constructed from these wavelet packets. Three biorthogonality formulas regarding these wavelet packets are established.
Keywords :
algebra; functional analysis; time-frequency analysis; wavelet transforms; Riesz bases; algebra theory; functional analysis method; several-scale dilation; time-frequency analysis method; two-directional semibiorthogonal trivariable wavelet packet; Artificial neural networks; filter functions; finite support; multi-scale dilation factor; multiresolution analysis; time-frequency analysis method; wavelet packs;
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.2010.5564049
