Brief paper: New FIR filter-based adaptive algorithms incorporating with commutation error to improve active noise control performance

Authors:
Ching-Wen Liao;Jong-Yih Lin
Affiliations:
Department of Mechanical Engineering, National Chung-Hsing University, Taichung, Taiwan 402, ROC;Department of Mechanical Engineering, National Chung-Hsing University, Taichung, Taiwan 402, ROC
Venue:
Automatica (Journal of IFAC)
Year:
2007

Citing 4
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Convergence analysis of the filtered-U algorithm for active noise control

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Active Noise Control Systems: Algorithms and DSP Implementations

Active Noise Control Systems: Algorithms and DSP Implementations
Stochastic gradient adaptation under general error criteria

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The effect of transfer function estimation errors on the filtered-xLMS algorithm

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Brief paper: New IIR filter-based adaptive algorithm in active noise control applications: Commutation error-introduced LMS algorithm and associated convergence assessment by a deterministic approach

Automatica (Journal of IFAC)

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Abstract

This study considers a commutation error (CE) that results from a difference associated with the altered sequence in real active noise control (ANC) applications as compared with that at the derivation stage. New adaptive algorithms are developed as FxLMS/CE, FxNLMS/CE and FxRLS/CE in an aim to eliminate the CE-associated disturbance and to liberate the restriction of slow adaptation imposed on the existing adaptive algorithms in the ANC applications. Computer simulations show that the rate of convergence is greatly improved for the new adaptive algorithms as compared with that of the conventional algorithms. In parallel with the improved rate of convergence, simulations exhibit efficient ANC performance for all CE-based algorithms. The best ANC performance is seen for FxRLS/CE algorithm that can acquire ~2s of convergence rate and ~34dB reduction of sound pressure level for band-limited white noise. All experimental results indeed demonstrate enhanced ANC performance; the FxNLMS/CE algorithm can acquire ~2s of convergence rate and ~20dB reduction of sound pressure level for band-limited white noise. Our data together support the effectiveness to include CE into the FIR filter-based adaptive algorithms for superior ANC performance with respect to the convergence speed and noise reduction level.