The use of model reduction techniques for designing iir filters with linear phase in the passband

IEEE Transactions on Signal Processing

Volumn 44, Issue 10, 1996, Pages 2396-2404

  Holford, Stephen ^a   Agathoklis, Pan ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; STATE SPACE METHODS; TRANSFER FUNCTIONS;

FREQUENCY WEIGHTING; SINGLE INPUT SINGLE OUTPUT SYSTEMS;

DIGITAL FILTERS;

EID: 0030270772     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.539025     Document Type: Article

References (25)

1. B. C. Moore Principal component analysis in linear systems: Controllability observability and model reductionIEEE Trans. Automat. Ctmtr. vol. AC-26 pp. 17-31. 1981.
2. L. Pernebo and L. M. Silverman Model reduction via balanced stale space representationsIEEE Trans. Automal. Ctmtr. vol. AC-27 pp. 382-387. 1982.
3. V. Srecram and P. Agathoklis. Model reduction of linear discrete systems via weighted impulse response gramians.INT. J. Contr.. vol. 5\ no. 1 pp. 129-144. 1991.
4. V. Sreeram and P. Agathoklis Design of linear-phase IIR filters via impulse-response gramiansIEEE Trans. Signal Processing vol. 4Ü no. 2 pp. 389-394. 1992.
5. Y. Liu and B. D. O. Andersen Singular perturbation approximation of balanced systemsInt. J. Crmtr. vol. 50 no. 4 pp. 1379-1405 1989.
6. D. F. Emis Model reduction with balanced realisations: An erroi bound and a frequency weighted generalization.in Proc. 23rd Cunf. Decision Conlr. Las Vegas NV. 1984. pp. 127-132.
7. U. M. Al-Saggat and G. F. Franklin Model reduction via balanced realizations: An extension and frequency weighting techniques.IEEE Trans. Automat. Conlr. vol. 33. no. 7 pp. 687-692 1988.
8. C. A. Lin and T. Y. Chiu Model reduction via frequency weighted balanced realizationConlr.-Theory Adv. Tcchnoi vol. 8 no. 2 pp. 341-351 1992.
9. A. Antoniou Digital Filters: Analysis Design and Applications. New York: McGraw-Hill 1993 2nd ed.
10. D. W. Lin and S. Y. Rung Optimal Hankel-norm approximation of conlinuous-time linear systemsCircuits Syst. Signal Processing vol. 1 nos. ? 4 pp. 407-43'l. 1982.
11. K. Glover All optimal Hankel-norm approximations of linear multivariable systems and their L°-error boundsInL J. Contr. vol. 39 no. 6 pp. 1115-1193 1984.
12. S. Holford and P. Agathoklis Designing linear phase IIR filters from FIR prototypesin Proc. 1993 Canadian Conf. C.omput. Elect. Eng. 1993 pp. 405108.
13. C. Charalambous and A. Antoniou Equalization of recursive digital filtersProc. Inst. Elec. Eng. vol. 127. pt. G no. 4 pp. 219-225 1980.
14. L. R. Rabiner J. F. Kaiser. 0. Herrmann and M. T. Dolan. Some comparisons between FIR and IIR digital filters.Bell Sy.sl. Tech. J. vol. 53. no. 2 pp. 305-331 1974.
15. T. Kailath Linear Systems. Englewood Cliffs NJ: Prentice-Hall 1980.
16. T. Inukai A unified approach to optimal recursive digital filler designIEEE Trans. Circuits Syst. vol. CAS-27 pp. 546-649. 1980.
17. G. Cortelazzo and M. R. Lighlner. Simultaneous design in both magnitude and group delay of 11R and FIR filters based on multiple criterion optimizationIEEE Trans. Acoust. Speech Signal Processing pp. IIT-61-III-64 1993.
18. A. G. Deczky Synthesis of recursive digital filters using the minimum p-crror criterionIEEE Trans. Audio Elet.lmacoust. vol. AE-32 pp. 949-967. Oct. 1984.
19. B. S. Chen S. C. Peng and B. W. Chiou IIR filter design via optimal Hankel-norm approximation'Pmc. Inst. dec. Eng. vol. 139 pt. G no. 5. pp. 586-590. 1992.
20. B. S. Cben S. C. Peng and B. W. Chiou Minimum sensitivity IIR filter design using principal component approachPmc. Inst. Elec. Eng. vol. 138 pt. G. pp. 474-482. 1991.
21. A. Antoniou and R. Howell Design of phase equalizers for recursive filtersin Prm: 1993 IEEE Pacific Rim. pp. 104-107.
22. C. T. Mullis and R. A. Roberts Synthesis of minimum roundoff noise fixed-point digital filtersIEEE Trans. Circuits Syst. vol. CAS-23 pp. 551-562 Sept. 1976.
23. K K. Gantmakher The 1'heory of Matrices. Ne York: Chelsea 1959.
24. H. Kimura and T. Honoki Balanced approximation of digital FIR filter with linear phase characteristic1' in Proc. ISCAS'85 Japan pp. 283-286.
25. B. Beliczynski J. Kale and G. D. Cain Approximation of FIR and IIR digital filters: An algorithm based on balance model reductionIEEE Tram. Signal Processing vol. 40 pp. 532-542 Mar. 1992.