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Fast affine projections and the regularized modified filtered-error algorithm in multichannel active noise control

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Author: Wesselink, J.M. · Berkhoff, A.P.
Type:article
Date:2008
Institution: TNO Industrie en Techniek
Source:Journal of the Acoustical Society of America, 2, 124, 949-960
Identifier: 240958
doi: doi:10.1121/1.2945169
Keywords: Acoustics and Audiology · Acoustic variables control · Adaptive algorithms · Adaptive filtering · Algorithms · Environmental engineering · Error compensation · Factorization · Model predictive control · Signal processing · Standards · Adaptation schemes · Adaptive feedback · Affine projections · Control filters · Convergence rates · Delay-compensation · Error algorithms · Error sensors · Feedforward systems · Inner-outer factorization · Internal model control · Multi channel active noise control · Reduced convergence rates · Reference signals · Regularization techniques · Transfer paths · Active noise control · Feedback system · Molecular stability · Multichannel recorder · Noise measurement · Noise reduction · Noise standard · Piezoelectricity · Priority journal · Signal detection · Signal processing · Simulation · Acoustics · Algorithms · Artifacts · Computer Simulation · Equipment Design · Models, Theoretical · Reproducibility of Results · Signal Processing, Computer-Assisted · Sound · Time Factors

Abstract

In this paper, real-time results are given for broadband multichannel active noise control using the regularized modified filtered-error algorithm. As compared to the standard filtered-error algorithm, the improved convergence rate and stability of the algorithm are obtained by using an inner-outer factorization of the transfer path between the actuators and the error sensors, combined with a delay compensation technique using double control filters and a regularization technique that preserves the factorization properties. The latter techniques allow the use of relatively simple and efficient adaptation schemes in which filtering of the reference signals is unnecessary. Results are given for a multichannel adaptive feedback implementation based on the internal model control principle. In feedforward systems based on this algorithm, colored reference signals may lead to reduced convergence rates. An adaptive extension based on the use of affine projections is presented, for which real-time results and simulations are given, showing the improved convergence rates of the regularized modified filtered-error algorithm for colored reference signals. © 2008 Acoustical Society of America.