DocumentCode
1936951
Title
Notice of Retraction
Design of odd number rational coefficients symmetric compactly-supported biorthogonal wavelet filters
Author
Han Fang-fang ; Duan Fa-jie ; Duan Xiao-jie ; Zhang Chao
Author_Institution
State Key Lab. of Precision Meas. Technol. & Instrum., Tianjin Univ., Tianjin, China
Volume
1
fYear
2010
fDate
9-11 July 2010
Firstpage
76
Lastpage
80
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.
Most wavelet filters that constructed based on Daubechies compactly-supported wavelet construction theory have nonlinear phase and irrational number coefficients. Nonlinear phase may cause distortion in image processing, and irrational filter coefficients will cause much inconvenience for wavelet applications on computer, especially for embedded processor applications. With thought of the theory of perfect-reconstruction filter banks, this paper does a study for linear phase biorthogonal perfect-reconstruction wavelet filter banks, and through of detail derivation, makes a conclusion for the procedure of odd number rational coefficients symmetric compactly-supported biorthogonal wavelet filter construction, which can be achieved by adding some vanishing moments conditions. With the example of length 7-5 biorthogonal wavelet filters design, this paper makes a detail discussion on the value selection for free variable appears in design equations, and then deduces the length 7-5 rational biorthogonal wavelet filters models.
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.
Most wavelet filters that constructed based on Daubechies compactly-supported wavelet construction theory have nonlinear phase and irrational number coefficients. Nonlinear phase may cause distortion in image processing, and irrational filter coefficients will cause much inconvenience for wavelet applications on computer, especially for embedded processor applications. With thought of the theory of perfect-reconstruction filter banks, this paper does a study for linear phase biorthogonal perfect-reconstruction wavelet filter banks, and through of detail derivation, makes a conclusion for the procedure of odd number rational coefficients symmetric compactly-supported biorthogonal wavelet filter construction, which can be achieved by adding some vanishing moments conditions. With the example of length 7-5 biorthogonal wavelet filters design, this paper makes a detail discussion on the value selection for free variable appears in design equations, and then deduces the length 7-5 rational biorthogonal wavelet filters models.
Keywords
channel bank filters; image processing; integrated circuit design; wavelet transforms; Daubechies compactly-supported wavelet construction theory; embedded processor applications; image processing; irrational filter coefficients; irrational number coefficients; linear phase biorthogonal perfect-reconstruction wavelet filter banks; nonlinear phase; odd number rational coefficients symmetric compactly-supported biorthogonal wavelet filters; vanishing moments conditions; wavelet applications; Artificial neural networks; Barium; biorthogonal wavelet; odd number symmetric filter; rational coefficients wavelet filter; wavelet filter construction; wavelet transform;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Science and Information Technology (ICCSIT), 2010 3rd IEEE International Conference on
Conference_Location
Chengdu
Print_ISBN
978-1-4244-5537-9
Type
conf
DOI
10.1109/ICCSIT.2010.5563932
Filename
5563932
Link To Document