Convergence Analysis of the Filtered-x LMS Adaptive Algorithm for Active Noise Control System 


Vol. 28,  No. 3, pp. 264-270, Mar.  2003


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  Abstract

Application of the Filtered-X LMS adaptive filter to active noise control requires to estimate the transfer characteristics between the output and the error signal of the adaptive canceler. In this paper, we derive an adaptive control algorithm and analyze its convergence behavior when the acoustic noise is assumed to consist of multiple sinusoids. The results of the convergence analysis of the Filtered-X LMS algorithm indicate that the effects of parameter estimation inaccuracy on the convergence behavior of the algorithm are characterize by two distinct components : Phase estimation error and estimated magnitude. In particular, the convergence of the Filtered-X LMS algorithm is shown to be strongly affected by the accuracy of the phase response estimate. Simulation results of the algorithm are presented which support the theoretical convergence analysis.

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  Cite this article

[IEEE Style]

K. Lee, "Convergence Analysis of the Filtered-x LMS Adaptive Algorithm for Active Noise Control System," The Journal of Korean Institute of Communications and Information Sciences, vol. 28, no. 3, pp. 264-270, 2003. DOI: .

[ACM Style]

Kang-Seung Lee. 2003. Convergence Analysis of the Filtered-x LMS Adaptive Algorithm for Active Noise Control System. The Journal of Korean Institute of Communications and Information Sciences, 28, 3, (2003), 264-270. DOI: .

[KICS Style]

Kang-Seung Lee, "Convergence Analysis of the Filtered-x LMS Adaptive Algorithm for Active Noise Control System," The Journal of Korean Institute of Communications and Information Sciences, vol. 28, no. 3, pp. 264-270, 3. 2003.