Title :
Notice of Retraction
Construction and characterization of multiple affine trivariate pseudoframes of translates with filter banks
Author :
Lan Li ; Ping-An Wang
Author_Institution :
Dept. of Math., Xi´an Univ. of Arts & Sci., 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.
In recent years, frames have been the focus of active research, both in theory and applications.In the article, the notion of affine pseudoframes for subspaces of L2(R3) is introduced. The concept of a generalized multiresolution analysis (GMRA) is proposed. A new approach for constructing one GMRA of Paley-Wiener subspaces of L2(R3) is presented. The sufficient condition for the existence of a class of multiple pseudoframes with filter banks is obtained by virtue of a generalized multiresolution analysis. We obtain a class of affine frames of L2(R3)from these pseudoframes.
Keywords :
Fourier series; Hilbert spaces; filtering theory; signal processing; Paley-Wiener subspace; filter bank; generalized multiresolution analysis; multiple affine trivariate pseudoframe; Art; Filter bank; Fourier series; Fourier transforms; Hilbert space; Mathematics; Multiresolution analysis; Signal processing; Signal resolution; Sufficient conditions;
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.2010.5485351
