DocumentCode
517975
Title
Notice of Retraction
The description of higher-dimensional matrix wavelet packet bases with respect to a dilation matrix
Author
Lan Li ; Jian-Guo Wang
Author_Institution
Sch. of Sci., Xi´an Jiaotong Univ., Xi´an, China
Volume
2
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.
The notion of higher-dimensional matrix wavelet packets is proposed. An approach for constructing orthogonal matrix-valued higher-dimensional wavelet packets is developed and their properties are discussed by means of time-frequency analysis method, algebra theory and functional analysis method.Three orthogonality formulas concerning these wavelet packets are established. Finally, one new basis of L2(Rd,Cr×r) is drawn by constructing a series of subspaces of the matrix wavelet packets. one new Riesz basis is obtained as well.
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 notion of higher-dimensional matrix wavelet packets is proposed. An approach for constructing orthogonal matrix-valued higher-dimensional wavelet packets is developed and their properties are discussed by means of time-frequency analysis method, algebra theory and functional analysis method.Three orthogonality formulas concerning these wavelet packets are established. Finally, one new basis of L2(Rd,Cr×r) is drawn by constructing a series of subspaces of the matrix wavelet packets. one new Riesz basis is obtained as well.
Keywords
matrix algebra; time-frequency analysis; wavelet transforms; algebra theory; dilation matrix; functional analysis method; higher-dimensional matrix wavelet packet bases description; orthogonal matrix-valued higher-dimensional wavelet packets; time-frequency analysis method; Art; Discrete transforms; Fourier transforms; Frequency estimation; Mathematics; Power system harmonics; Signal processing algorithms; Time frequency analysis; Wavelet analysis; 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.2010.5485344
Filename
5485344
Link To Document