Novel FxLMS convergence condition with deterministic reference

IEEE Transactions on Signal Processing

Volumn 54, Issue 10, 2006, Pages 3768-3774

  Vicente, Luis ^a   Masgrau, Enrique ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Acoustic noise; Active noise control; Adaptive control; Adaptive filters; Adaptive signal processing; Feedforward systems; Least mean square methods; Vibration control

Indexed keywords

ACOUSTIC NOISE; ACOUSTIC VARIABLES CONTROL; ADAPTIVE CONTROL SYSTEMS; ADAPTIVE FILTERING; VIBRATION CONTROL;

ACTIVE NOISE CONTROL; ADAPTIVE SIGNAL PROCESSING; FEEDFORWARD SYSTEMS; LEAST-MEAN-SQUARE METHODS;

ACOUSTIC SIGNAL PROCESSING;

EID: 33749422046     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.880205     Document Type: Article

References (16)

1. S.M. Kuo and D.R. Morgan, Active Noise Control Systems: Algorithms and DSP Implementations. New York: Wiley, 1996.
2. S. J. Elliott, Signal Processing for Active Control. London, U.K.: Academic, 2001.
3. E. Bjarnason, "Analysis of the filtered-x LMS algorithm," IEEE Trans. Speech Audio Process., vol. 3, no. 6, pp. 504-514, Nov. 1995.
4. S. M. Kuo, M. Tahernezhadi, and W. Hao, "Convergence analysis of narrow-band active noise control system," IEEE Trans. Circuits Syst. II, vol. 46, no. 2, pp. 220-223, Feb. 1999.
5. J. R. Glover, Jr., "Adaptive noise canceling applied to sinusoidal interferences," IEEE Trans. Acoust., Speech, Signal Process., vol. 25, no. 6, pp. 484-491, Dec. 1977.
6. B. Widrow, K. M. Duvall, R. P. Gooch, and W. C. Newman, "Signal cancellation phenomena in adaptive antennas: Causes and cures," IEEE Trans. Antennas Propag., vol. 30, no. 3, pp. 469-478, May 1982.
7. N. J. Bershad and P. L. Feintuch, "Non-Wiener solutions for the LMS algorithim-A time domain approach," IEEE Trans. Signal Process., vol. 43, no. 5, pp. 1273-1275, May 1995.
8. S. Haykin, Adaptive Filter Theory, 4th ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
9. L. Vicente and E. Masgrau, "Analysis of LMS algorithm with delayed coefficient adaptation for sinusoidal reference," in Proc. EUSIPCO, 2002, vol. I, pp. 360-363.
10. S. J. Elliott and P. A. Nelson, "The application of adaptive filtering to the active control of sound and vibration," Institute of Sound and Vibration Research (ISVR), Univ. of Southampton, Southampton, U.K., Tech. Rep. 136, Sep. 1985.
11. 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, Signal Process., vol. 35, no. 10, pp. 1423-1434, Oct. 1987.
12. B. C. Kuo, Automatic Control Systems. Englewood Cliffs, NJ: Prentice-Hall, 1962.
13. S. J. Elliott and P. A. Nelson, "Multiple-point equalization in a room using adaptive digital filters," J. Audio Eng. Soc., vol. 37, no. 11, pp. 899-907, Nov. 1989.
14. D. R. Morgan and C. Sanford, "A control theory approach to the stability and transient analysis of the filtered-x LMS adaptive notch filter," IEEE Trans. Signal Process., vol. 40, no. 9, pp. 2341-2346, Sep. 1992.
15. M. J. Shensa, "Non-Wiener solutions of the adaptive noise canceller with a noisy reference," IEEE Trans. Acoust., Speech, Signal Processing, vol. 28, no. 4, pp. 468-472, Aug. 1980.
16. N. J. Bershad and J. C. M. Bermudez, "Sinusoidal interference rejection analysis of an LMS adaptive feedforward controller with a noisy periodic reference," IEEE Trans. Signal Process., vol. 46, no. 5, pp. 1298-1313, May 1998.