DOI QR코드

DOI QR Code

Design of 2-D IIR Digital Filters Based on a Particle Swam Optimization

Particle Swarm Optimization을 이용한 2차원 IIR 디지털필터의 설계

  • 이영호 (위덕대학교 전자공학부)
  • Published : 2009.07.30

Abstract

This paper presents an efficient design method of 2-D infinite impulse response(IIR) digital filter based on a particle swarm optimization(PSO) algorithm. The design task is reformulated as a constrained minimization problem and is solved by our newly developed PSO algorithm. To ensure the stability of the designed 2-D IIR digital filters, a new stability strategy is embedded in the basic PSO algorithm. The superiority of the proposed method is demonstrated by several experiments. The results show that the approximation error of the resultant filters are better than those of the digital filters which designed by recently published filter design methods. The proposed design method can also obtain the stable2-D IIR digital filters.

본 논문은 Particle Swarm Optimization(PSO)을 이용하여 2차원 IIR 디지털필터의 설계방법을 제안하였다. 먼저 2차원 디지털필터의 설계문제를 PSO에 적용하기 위하여 최소화 문제로써 형식화 과정이 논의된다. 제안된 PSO 알고리즘을 이용한 설계방법은 기존의 PSO 알고리즘에 IIR 필터설계에서 요구되는 안정성을 보증하는 과정이 검토되어 개선된다. 본 논문에서 제안된 방법의 타당성을 설계예시를 통해 고찰한 결과, 설계된 디지털필터는 동일한 설계사양으로 기존의 설계방법으로 설계된 디지털필터보다 근사오차 면에서 우수한 결과를 얻을 수 있었다. 또한 제안한 설계방법에 의한 2차원 IIR 디지털필터는 설계과정에서 필터의 안정성을 보증할 수 있었다.

Keywords

References

  1. A.V. Oppenheim, R.W. Schafer, and J.R. Buck, "Discrete-time signal processing,"Prentice- Hall, Englewood Cliffs, NJ, 1999
  2. W.-S. Lu and A. Antoniou, "Two-Dimensional Digital Filters," Marcel Dekker, 1992
  3. M.D. Lutovac, D.V. Tocic, and B.L. Evans, "Filter design for signal processing,"Prentice- Hall, Upper Saddle River, NJ, 2001
  4. R. Thamvichai, T. Bose, and R.L. Haupt, "Design of 2-D multiplierless IIR filters using the genetic algorithm,"IEEE Trans. on Circuits and systems, vol. 49, pp.878-882, 2002 https://doi.org/10.1109/TCSI.2002.1010045
  5. J. Kennedy and R. Elberhart, 'Particle Swarm Optimization,' Proc. of IEEE Int. Conf. on Neural Networks, pp.1942-1948, 1995
  6. 박병준, 오성권, 김용수, 안태천, "PSO의 특징과 차원성에 관한 비교연구,"제어·자동화·시스템공학 논문지, 12권, pp.328-338, 2006
  7. 北山哲士, 荒川雅生, 山崎光悦, "Particle Swarm Optimizationの基礎的検討と混合変数問題への適応," 日本機械学会論文集(A編), 71券 706号, pp.88-95, 2005
  8. V.M. Mladenove and N.E. Mastorakis, "Design of Two-Dimensional Recursive Filters by Using Neural Networks," IEEE Trans. on Neural Networks, Vol 12, pp.585-590, 2001 https://doi.org/10.1109/72.925560
  9. N.E. Mastorakis, I.F. Gonos and M.N.S. Swamy, "Design of two-dimensional Recursive Filters Using Genetic Algorithms", IEEE Trans. on Circuits and Systems, vol. 50, pp.634-639, 2003