Design of low-order linear-phase IIR filters via orthogonal projection

IEEE Transactions on Signal Processing

Volumn 47, Issue 2, 1999, Pages 448-457

  Li, Luowen ^a   Xie, Lihua ^a   Yan, Wei Yong ^a   Soh, Yeng Chai ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

Filter approximation; FIR filter; IIR filter; Linear phase; Optimization

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; FIR FILTERS; ITERATIVE METHODS; LINEAR NETWORK SYNTHESIS; MATRIX ALGEBRA; OPTIMIZATION;

IMPULSE RESPONSE GRAMIAN (IRG) METHOD;

IIR FILTERS;

EID: 0033079964     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.740128     Document Type: Article

References (22)

1. A. Antoniou, Digital Filters: Analysis, Design, and Applications. New York: McGraw-Hill, 1993.
2. C. Charalambous and A. Antoniou, "Equalization of recursive digital filters," Proc. Inst. Elect. Eng., vol. 127, pp. 219-225, 1980.
3. A. G. Deczky, "Equiripple and minimax (Chebyshev) approximation for recursive digital filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-22, pp. 98-111, 1974.
4. H. Kimura and Y. Honoki, "Balanced approximation of digital FIR filter with linear phase characteristic," Proc. ISCAS, 1985, pp. 283-286.
5. T. Inukai, "A unified approach to optimal recursive digital filter design," IEEE Trans. Circuits Syst., vol. CAS-27, pp. 646-649, 1980.
6. G. Cortelazzo and M. R. Lightner, "Simultaneous design in both magnitude and group delay of IIR filters based on multiple criterion optimization," IEEE Trans. Signal Processing, vol. 41, pp. 61-64. Jan. 1993.
7. A. G. Deczky, "Synthesis of recursive digital filters using the minimum p-error criterion," IEEE Trans. Audio Electroacoust, vol. AE-32, pp. 949-967, 1984.
8. S. C. Peng, B. S. Chen, and B. W. Chiou, "IIR filter design via optimal hankel-norm approximation," Proc. Inst. Elect. Eng., vol. 139, pp. 586-590, 1992.
9. V. Sreeram and P. Agathoklis, "Design of linear-phase IIR filters via impulse-response gramians," IEEE Trans. Singal Processing, vol. 40, pp. 389-394, 1992.
10. K. Hankelmann and R. Unbehauen, "Approximation of frequency response of FIR filter by an IIR filter," in Proc. Euro. Conf. Circuit Theory Des., Paris, France, 1987.
11. G. A. Latham and B. D. O. Anderson, "Frequency weighted optimal hankel norm approximation of stable transfer function," Syst. Contr. Lett., vol. 5, pp. 229-236, 1985.
12. L. Pernebo and L. M. Silverman, "Model reduction via balanced state space representation," IEEE Trans. Automat. Contr., vol. AC-27, pp. 382-387, 1982.
13. B. C. Moore, "Principal component analysis in linear systems: controllability, observability and model reduction," IEEE Trans. Automat. Contr., vol. 26, pp. 17-32, 1981.
14. D. Enns, "Model reduction with balanced realizations:an error bound and a frequency weighted generalization," in Proc. 23rd IEEE Conf. Decision Contr., Las Vegas, NV, 1984, pp. 127-132.
15. P. T. Kabamba, "Balanced gains and their significance for balanced model reduction," IEEE Trans. Automat. Contr., vol. AC-30, pp. 690-693, 1985.
16. B. Beliczynski, I. Kale, and G. D. Cain, "Approximation of FIR and IIR digital filters:an algorithm based on balanced model reduction," IEEE Trans. Signal Processing, vol. 40, pp. 532-542, 1992.
17. S. Holford and P. Agathoklis, "The use of model reduction techniques for designing IIR filters with linear phase in the passband," IEEE Trans. Signal Processing, vol. 44, pp. 2396-2404, 1996.
18. V. Sreeram and P. Agathoklis, "Model reduction of linear discrete system via weighted impulse response gramians," Int. J. Contr., vol. 53, pp. 129-141, 1991.
19. D. W. Lin and S. Y. Kung, "Optimal Hankel-norm approximation of continuous-time linear systems," Circuits Syst. Signal Process., vol. 1, pp. 407-431, 1982.
20. W. Yan, L. Xie, and J. Lam, "Convergent algorithms for frequency weighted LI model reduction," Syst. Contr. Lett., vol. 31, pp. 11-20, 1997.
21. L. Xie, W. Yan, and Y. C. Soh, "L? optimal filter reductions close-loop approach," IEEE Trans. Signal Processing, vol. 46, pp. 11-20, 1998.
22. T. P. Krauss, L. Shure, and J. N. Little, Signal Processing Toolbox. Reading, MA: Math Works, 1995.