DocumentCode
518500
Title
Notice of Retraction
The character of orthogonal bivariate wavelet packets associated with an integer-valued dilation factor
Author
Qi Li ; Hongwei Gao
Author_Institution
Sch. of Sci., Xi´an Univ. of Arch. & Tech., Xi´an, China
Volume
1
fYear
2010
fDate
16-18 April 2010
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 work, the notion of a class of vector-valued bivariate wavelet packets associated with an arbitrary integer-valued dilation matrix is developed. A new method for constructing vector-valued bivariate wavelet packets is proposed. Their characteristics is researched by means of operator theory, time-frequency analysis method and matrix theory. Three orthogonality formulas regarding the wavelet packets are provided. Orthogonality decomposition relation formulas of the space L2(R2)u are obtained by constructing a series of subspaces of the vector-valued wavelet packets. Furthermore, several orthonormal wavelet packet bases of space L2(R2)u are drawn from the wavelet packets.
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 work, the notion of a class of vector-valued bivariate wavelet packets associated with an arbitrary integer-valued dilation matrix is developed. A new method for constructing vector-valued bivariate wavelet packets is proposed. Their characteristics is researched by means of operator theory, time-frequency analysis method and matrix theory. Three orthogonality formulas regarding the wavelet packets are provided. Orthogonality decomposition relation formulas of the space L2(R2)u are obtained by constructing a series of subspaces of the vector-valued wavelet packets. Furthermore, several orthonormal wavelet packet bases of space L2(R2)u are drawn from the wavelet packets.
Keywords
functional analysis; matrix algebra; time-frequency analysis; vectors; wavelet transforms; arbitrary integer valued dilation matrix; matrix theory; orthogonal bivariate wavelet packet; orthogonality decomposition relation; time frequency analysis method; vector valued bivariate wavelet packet; Aggregates; Control system analysis; Filter bank; Mathematics; Matrix decomposition; Multiresolution analysis; Optimal control; Time frequency analysis; Wavelet analysis; Wavelet packets; bivariate; filter banks; multiresolution analysis; orthogonaility decomposition relation formulas; wavelet packets;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Engineering and Technology (ICCET), 2010 2nd International Conference on
Conference_Location
Chengdu
Print_ISBN
978-1-4244-6347-3
Type
conf
DOI
10.1109/ICCET.2010.5486323
Filename
5486323
Link To Document