Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Convergence of the Filtered-x Least Mean Square Adaptive Algorithm for Active Noise Control of a Multiple Sinusoids

다중 정현파의 능동소음제어를 위한 Filtered-x 최소 평균제곱 적응 알고리듬 수렴 연구

  • 이강승 (동의대학교 컴퓨터공학과)
  • Published : 2003.04.01
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Abstract

Application of the filtered-x Least Mean Square(LMS) adaptive filter to active noise control requires to estimate the transfer characteristics between the output and the error signal of the adaptive controller. In this paper, we derive the filtered-x adaptive noise control algorithm and analyze its convergence behavior when the acoustic noise consists of multiple sinusoids. The results of the convergence analysis of the filtered-x LMS algorithm indicate that the effects of the parameter estimation inaccuracy on the convergence behavior of the algorithm are characterized by two distinct components Phase estimation error and estimated gain. In particular, the convergence is shown to be strongly affected by the accuracy of the phase response estimate. Simulation results are presented to support the theoretical convergence analysis.

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References

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