Undermodeled adaptive filtering: an a priori error bound for the steiglitz-mcbride method

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 43, Issue 2, 1996, Pages 105-116

  Regalia, Phillip A ^a   Mboup, Mamadou ^a  

^a INSTITUT NATIONAL DES TÉLÉCOMMUNICATIONS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DIGITAL FILTERS; ERROR ANALYSIS; OPTIMIZATION; TRANSFER FUNCTIONS; WHITE NOISE;

A PRIORI ERROR BOUND; ADAPTIVE IDENTIFIER; ASYMPTOTIC MATCHING; HANKEL NORM APPROXIMANT; STEIGLITZ-MCBRIDE METHOD;

ADAPTIVE FILTERING;

EID: 0030084675     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.486457     Document Type: Article

References (26)

1. K. Steiglitz and L. E. McBride, "A technique for the identification of linear systems," IEEE Trans. Automat. Contr., vol. AC10, pp. 461-64, Oct. 1965.
2. P. Stoica and T. Söderström, "The Steiglitz-McBride identification algorithm revisited-Convergence analysis and accuracy aspects," IEEE Trans. Automat. Contr., vol. AC26, pp. 712-717, June 1981.
3. H. Fan and W. K. Jenkins, "A new adaptive IIR filter," IEEE Trans. Circuits Syst., vol. CAS33, pp. 939-947, Oct. 1986.
4. H. Fan, "Application of Benveniste's convergence results in the study of adaptive IIR filtering algorithms," IEEE Trans. Inform. Theory, vol. IT34, pp. 692-709, July 1988.
5. P. A. Regalia, "Stable and efficient lattice algorithms for adaptive IIR filtering," IEEE Trans. Signal Process., vol. SP40, pp. 375-388, Feb. 1992.
6. K. X. Miao, H. Fan, and M. Doroslovacki, "Cascade normalized lattice nR adaptive filters," IEEE Trans. Signal Process., vol. 42, pp. 721-742, Apr. 1994.
7. M. Mboup and M. Bonnet, "On the adequateness of IIR filtering for acoustic echo cancellation," in Proc. Eusipco, Brussels, Aug. 1992, pp. 111-114.
8. A. M. Adamjan, D. Z. Arov, and M. G. Rreïn, "Analytic properties of Schmidt pairs for a Hankel operator and the generalized Schur-Takagi problem," Math. USSR Sbomik, vol. 15, pp. 31-73, 1971.
9. C. T. Mullis and R. A. Roberts, "Synthesis of minimum round-off noise fixed-point digital filters," IEEE Trans. Circuits Syst., vol. CAS23, pp. 551-562, Sept. 1976.
10. 1. Gohberg and S. Goldberg, Basic Operator Theory. Boston: Birkhäuser, 1981.
11. Z. Nebari, "On bounded bilinear forms," Annals of Math., vol. 65, pp. 153-162, 1957.
12. Y. V. Genin and S. Y. Rung, "A two-variable approach to the model reduction problem with Hankel norm criterion," IEEE Trans. Circuits Syst., vol. CAS28, pp. 912-924, Sept. 1981.
13. 2 and Hankel-norm approximations," Systems Contr. Lett., vol. 24, pp. 167-172, 1995.
14. B. C. Moore, "Principal component analysis in linear systems: Controllability, observability, and model reduction," IEEE Trans. Automat. Contr., vol. AC26, pp. 17-32, Feb. 1981.
15. D. F. Enns, "Model reduction with balanced realizations: An error bound and a frequency weighted generalization," in Proc. 23rd Conf. Decision and Control, Las Vegas, NV, Dec. 1984; pp. 127-132.
16. K. Glover. "All optimal Hankel-norm approximations to linear multi-variable systems, and their L°° or bounds," Int. J. Contr., vol. 39, pp. 1115-1193, 1984.
17. P. A. Regalia, "An unbiased equationor identifier and reduced order approximations," IEEE Trans. Signal Process., vol. 42, pp. 1397-1412, June 1994.
18. T. Söderström and P. Stoica, "On some system identification techniques for adaptive IIR filtering," IEEE Trans. Circuits Syst., vol. 35, pp. 457-461, Apr. 1988.
19. H. Fan and M. Nayeri, "On reduced order identification: Revisiting 'On some system identification techniques for adaptive ITR filtering,'" fEEE Trans. Circuits Syst., vol. 37, pp. 1144-1151, Sept. 1990.
20. H. Fan and M. Doroslovacki, "On 'global convergence' of Steiglitz-McBridc adaptive algorithm," IEEE Trans. Circuits Sysl. II, vol. 40, pp. 73-87, Feb. 1993.
21. B. D. O. Anderson and C. R. Johnson, Jr., "Exponential convergence of adaptive identification and control algorithms," Automatics, vol. 18, pp. 1-13, 1982.
22. P. A. Regalia, Adaptive IIR Filtering in Signal Processing and Control. New York: Marcel Dekker. 1995.
23. P. A. Regalia, M. Mboup, and M. Asfiari-Astani, "A class of firstand second-order interpolation problems in model reduction," Archiv fur Elektronik und Übertragungstechnik, vol. 49, pp. 332-343, Sept./Nov. 1995.
24. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge; Cambridge University Press, 1986.
25. G. Szegö, Orthogonal Polynomials, 3rd ed. Providence, RI: Amer. Math. Soc., 1967.
26. C. K. Chui and G. Chen, Signal Processing and Systems Theory. New York: Springer, 1992.