Design of optimal shift-invariant orthonormal wavelet filter banks via genetic algorithm

Signal Processing

Volumn 83, Issue 12, 2003, Pages 2579-2591

  Shark, Lik Kwan ^a   Yu, Chunyang ^a  

^a UNIVERSITY OF CENTRAL LANCASHIRE   (United Kingdom)

Author keywords

Denoising; Filter bank design; Genetic algorithm; Shift invariance; Wavelet

Indexed keywords

GENETIC ALGORITHMS; INVARIANCE; WAVELET TRANSFORMS;

FILTER BANKS;

SIGNAL FILTERING AND PREDICTION;

EID: 0142126707     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2003.07.001     Document Type: Article

References (14)

1. Berman Z., Baras J.S. Properties of the multiscale maxima and zero-crossings representations. IEEE Trans. Signal Process. 41(2):1993;3216-3231.
2. Cohen I., Raz S., Malah D. Orthonormal shift-invariant wavelet packet decomposition and representation. Signal Processing. 57(3):1997;251-270.
3. Coifman R.R., Donoho D.L. Translation-invariant de-noising. Antoniadis A., Oppenheim G. Wavelets and Statistics. 1995;125-150 Springer, Berlin.
4. Daubechies I. Orthonormal bases of compactly supported wavelet. Comm. Pure Appl. Math. 41:1988;909-996.
5. Goldberg D.E. Genetic Algorithms in Search, Optimization, and Machine Learning. 1989;Addison-Wesley, Reading, MA.
6. Hui Y., Kok C.W., Nguyen T.Q. Shift-invariant filter banks. theory, design and applications IEEE Trans. Signal Process. 41(3):1993;1428-1431.
7. Lang M., Guo H., Odegard J.E., Burrus C.S., Wells R.O. Jr. Noise reduction using an undecimated discrete wavelet transform. IEEE Signal Process. Lett. 3:1996;10-12.
8. Mallat S., Hwang W.L. Singularity detection and processing with wavelets. IEEE Trans. Inform. Theory. 38(2):1992;617-643.
9. del Marco S., Weiss J., Jager K. Wavepacket-based transient signal detector using a translation invariant wavelet transform in Wavelet Applications in Signal and Image Processing. SPIE. 2242:1994;154-165.
10. L.-K. Shark, Specific wavelets, INDUCE Project Report TR-4131-UCLAN-03, 2001.
11. Shark L.-K., Yu C. Denoising by optimal fuzzy thresholding in wavelet domain. IEE Electron. Lett. 36(6):2000;581-582.
12. Strang G., Nguyen T. Wavelets and Filter Banks. 1996;Wellesley-Cambridge Press.
13. Wei D., Bovik A.C. Enhancement of compressed images by optimal shift-invariant wavelet packet basis. J. Visual Comm. Image Repres. 9(1):1998;15-24.
14. Zou H., Tewfik A.H. Parameterization of compactly supported orthonormal wavelet. IEEE Trans. Signal Process. 41(3):1993;1428-1431.