A Control Theory Approach to the Stability and Transient Analysis of the Filtered-A” LMS Adaptive Notch Filter

IEEE Transactions on Signal Processing

Volumn 40, Issue 9, 1992, Pages 2341-2346

  Morgan, Dennis R ^a   Sanford, Charles ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; DIGITAL FILTERS; EIGENVALUES AND EIGENFUNCTIONS; LEAST SQUARES APPROXIMATIONS; LOW PASS FILTERS; NOTCH FILTERS; SIGNAL TO NOISE RATIO; SYSTEM STABILITY; TRANSFER FUNCTIONS; TRANSIENTS;

LMS ADAPTIVE NOTCH FILTER; MULTICHANNEL STABILITY ANALYSIS;

SIGNAL FILTERING AND PREDICTION;

EID: 0026923220     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.157237     Document Type: Article

References (21)

1. B. Widrow and S. D. Stearns Adaptive Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1985
2. D. R. Morgan, “An analysis of multiple correlation cancellation loops with a filter in the auxiliary path,” IEEE Trans. Acoust., Speech, Signall Processing, vol. ASSP-28, pp. 454–467, Aug. 1980.
3. D. R. Morgan, S. E. Craig, and G. H. Danielson, “Adaptive interference cancellation for power line carrier communication systems,” IEEE Trans. Power Deliv., vol. 6, pp. 49–61, Jan. 1991.
4. J. C. Burgess, “Active sound control in a duct: A computer simulation,” J. Acoust. Soc. Amer., vol. 70, pp. 715–726, Sept. 1981.
5. L. J. Eriksson, “The selection and application of an IIR adaptive filter for use in active sound attenuation,” IEEE Trans. Acoust., Speech, Signall Processing, vol. ASSP-35, pp. 433–437, Apr. 1987.
6. S. J. Elliott, I. M. Stothers, and P. A. Nelson, “A multiple error LMS algorithm and its application to the active control of sound and vibration,” IEEE Trans. Acoust., Speech, Signall Processing , vol. ASSP-35, pp. 1423–1434, Oct. 1987.
7. D. R. Morgan, “An adaptive modal-based active control system,” J. Acoust. Soc. Amer., vol. 89, pp. 248–256, Jan. 1991.
8. B. Widrow, D. Shur, and S. Shaffer, “On adaptive inverse control,” in Proc. Fifteenth Asilomar Conf. Circuits, Syst., Comput., 1981, pp. 185–189.
9. P. Darlington and S. J. Elliott, “Synchronous adaptive filters with delayed coefficient adaption,” in Proc. IEEE Int. Conf. Acoust., Speech, Signall Processing, 1988, pp. 2586–2589.
10. G. Long, F. Ling, and J. G. Proakis, “The LMS algorithm with delayed coefficient adaptation,” IEEE Trans. Acoust., Speech, Signall Processing, vol. 37, pp. 1397–1405, Sept. 1989.
11. R. Haimi-Cohen, H. Herzberg, and Y. Be’ery, “Delayed adaptive LMS filtering: Current results,” in Proc. IEEE Int. Conf. Acoust., Speech, Signall Processing, 1990, pp. 1273–1276.
12. S. J. Elliott and P. Nelson, “Algorithm for multichannel LMS adaptive filtering,” Electron. Lett., vol. 21, pp. 979–981, Oct. 1985.
13. B. Widrow et al., “Adaptive noise cancelling: Principles and applications,” Proc. IEEE, vol. 63, pp. 1692–1716, Dec. 1975.
14. J. R. Glover, Jr., “Adaptive noise canceling applied to sinusoidal interferences,” IEEE Trans. Acoust., Speech, Signall Processing, vol. ASSP-25, pp. 484–491, Dec. 1977.
15. M. J. Shensa, “Non-Wiener solutions for the adaptive noise canceller with a noisy reference,” IEEE Trans. Acoust., Speech, Signall Processing, vol. ASSP-28, pp. 468–473, Aug. 1980.
16. H. Urkowitz, Signal Theory and Random Processes. Massachu-setts: Artech House, 1983.
17. E. A. King-Smith, “Stability analysis of linear continuous time-delay feedback systems,” Int. J. Contr., vol. 13, pp. 633–655, 1971.
18. I. Gumowski, “Sensitivity of certain dynamic systems with respect to a small delay,” Automatica, vol. 10 pp. 659–674, 1974.
19. J. E. Marshall, Control of Time-Delay Systems. New York: Institute Electrical Engineers, 1979.
20. A. G. J. MacFarlane and I. Postlethwaite, “The generalized Nyquist stability criterion and multivariable root loci,” Int. J. Contr., vol. 25, pp. 81–127, Jan. 1977.
21. S. J. Elliott and P. A. Nelson, “The application of adaptive filtering to the active control of sound and vibration,” ISVR, Tech. Rep. 136, 1985.