Design of robust D-stable IIR filters using genetic algorithms with embedded stability criterion

IEEE Transactions on Signal Processing

Volumn 57, Issue 8, 2009, Pages 3008-3016

  Pan, Shing Tai ^a  

^a NATIONAL UNIVERSITY OF KAOHSIUNG   (Taiwan)

Author keywords

D( , r) stability criterion; Genetic algorithm; Infinite impulse response (IIR) filter; Robust stability

Indexed keywords

EVOLUTION STRATEGIES; INFINITE IMPULSE RESPONSE FILTER; INFINITE-IMPULSE-RESPONSE (IIR) FILTER; NUMERICAL EXPERIMENTAL; ROBUST STABILITY; TRIAL AND ERROR; UNIT CIRCLES;

DISKS (STRUCTURAL COMPONENTS); GENETIC ALGORITHMS; STABILITY CRITERIA; SYSTEM STABILITY;

IIR FILTERS;

EID: 68249144405     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2017003     Document Type: Article

References (32)

1. K. J. Astrom and B. Wittenmark, Computer Controlled Systems: Theory and Design. Englewoods Cliffs, NJ: Prentice-Hall, 1984.
2. S. C. Chan, K. M. Tsui, and K. W. Tse, "Design of constrained causal stable IIR filters using a new second-order-cone-programming-based model-reduction technique," IEEE Trans. Circuits Syst. II: Exp. Briefs, vol. 54, pp. 107-111, Feb. 2007.
3. ∞ optimal deconvolution filter designs," Signal Process., vol. 80, pp. 311-331, 2000.
4. F. Chen, S. Kwong, G.Wei, C. K. W. Ku, and K. F. Man, "Blind linear channel estimation using genetic algorithm," Signal Process., vol. 83, pp. 2021-2035, 2003.
5. D. A. Coley, An Introduction to Genetic Algorithms for Scientists and Engineers. Singapore: World Scientific, 2001.
6. A. Fernandez-Vazquez and G. Jovanovic-Dolecek, "A new method for the design of IIR filters with flat magnitude response," IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 53, pp. 1761-1771, Aug. 2006.
7. S. Fiori, "Blind adaptation of stable discrete-time IIR filters in statespace form," IEEE Trans. Signal Process., vol. 54, pp. 2596-2605, July 2006.
8. R. L. Haupt and S. E. Haupt, Practical Genetic Algorithms. New York: Wiley, 1998.
9. W. D. John, Applied Complex Variables. New York: Macmillan, 1967.
10. J. Konopacki, "The frequency transformation by matrix operation and its application in IIR filters design," IEEE Signal Process. Lett., vol. 12, pp. 5-8, Jan. 2005.
11. D. J. Krusienski and W. K. Jenkins, "Design and performance of adaptive systems based on structured stochastic optimization strategies," IEEE Circuits Syst. Mag., pp. 8-20, First Quarter 2005.
12. D. Lawrence, Handbook of Genetic Algorithms. New York: Van Nostrand Reinhold, 1991.
13. H. F. Leung, H. K. Lam, and S. H. Ling, "Tuning of the structure and parameters of a neural network using an improved genetic algorithm," IEEE Trans. Neural Netw., vol. 14, pp. 79-88, 2003.
14. W. S. Lu, "Design of stable IIR digital filters with equiripple passbands and peak-constrained least-squares stop-bands," IEEE Trans. Circuits Syst.II, vol. 46, pp. 1421-1426, Nov. 1999.
15. W. S. Lu and T. Hinamoto, "Optimal design of IIR digital filters with robust stability using conic-quadratic-programming," IEEE Trans. Signal Process., vol. 51, pp. 1581-1592, Jun. 2003.
16. T. Matsunaga, M. Yoshida, and M. Ikehara, "Design of IIR digital filters in the complex domain by transforming the desired response," IEEE Trans. Signal Process., vol. 52, pp. 1975-1982, Jul. 2004.
17. H. C. So, "Sign-sign algorithm for unbiased IIR filtering in impulsive noise," Electron. Lett., vol. 40, pp. 704-706, May 2004.
18. K. S. Tang, K. F. Man, S. Kwong, and Z. F. Liu, "Design and optimization of IIR filter structure using hierarchical genetic algorithms," IEEE Trans. Ind. Electron., vol. 45, no. 3, pp. 481-487, 1998.
19. R. Thamvichai, T. Bose, and R. L. Haupt, "Design of 2-D multiplierless IIR filters using the genetic algorithm," IEEE Trans. Circuits Syst. I, vol. 49, pp. 878-882, Jun. 2002.
20. C. C. Tseng, "Minimax design of stable IIR digital filter with prescribed magnitude and phase responses," IEEE Trans. Circuits Syst. I, vol. 49, pp. 547-551, Apr. 2002.
21. K. Uesaka and M. Kawamata, "Synthesis of low-sensitivity secondorder digital filters using genetic programming with automatically defined functions," IEEE Signal Process. Lett., vol. 7, Apr. 2000.
22. K. Uesaka and M. Kawamata, "Evolutionary synthesis of digital filter structures using genetic algorithm," IEEE Trans. Circuits Syst. II vol. 50, Dec. 2003.
23. J. Van de Vegte, Fundamentals of Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 2001.
24. Y. Yang and X. Yu, "Cooperative convolutionary genetic algorithm for digital IIR filter design," IEEE Trans. Ind. Electron., vol. 54, pp. 1311-1318, Jun. 2007.
25. Z. N. Zacharis and T. Panayiotopoulos, "A metagenetic algorithm for information filtering and collection from the world wide web," Expert Syst., vol. 18, pp. 99-108, 2001.
26. J. Zhou, G. Li, and M. Sun, "A structural view of stability in adaptive IIR filters," IEEE Trans. Signal Process., vol. 54, pp. 4828-4835, Dec. 2006.
27. S. Fiori, "Blind intrinsically-stable 2-pole IIR filtering," Electron. Lett., vol. 38, no. 23, pp. 1482-1483, Dec. 2002.
28. P. Campolucci and F. Piazza, "Intrinsic stability-control method for recursive filters and neural networks," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 47, no. 8, pp. 797-802, Aug. 2000.
29. D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning. Reading, MA: Addison-Wesley, 1989.
30. J. H. Holland, Adaptation in Natural and Artificial Systems. Ann Arbor: The Univ. Michigan Press, 1975.
31. M. Michalewicz, Genetic Algorithms + Data Structure = Evolution Program. Berlin, Germany: Springer-Verlag, 1996.
32. F. H. Hsiao, S. T. Pan, and C. C. Teng, "D-Stability bound analysis for discrete multiparameter singularly perturbed systems," IEEE Trans. Circuits Syst. - Pt. I, vol. 44, pp. 347-350, 1997.