Performance analysis of the unconstrained FxLMS algorithm for active noise controlGong, Y., Song, Y. and Liu, S. (2003) Performance analysis of the unconstrained FxLMS algorithm for active noise control. In: Proceedings 2003 IEEE international conference on acoustics, speech, and signal processing. IEEE Press, pp. 569-572. ISBN 0780376633 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1109/ICASSP.2003.1200033 Abstract/SummaryThe paper analyzes the performance of the unconstrained filtered-x LMS (FxLMS) algorithm for active noise control (ANC), where we remove the constraints on the controller that it must be causal and has finite impulse response. It is shown that the unconstrained FxLMS algorithm always converges to, if stable, the true optimum filter, even if the estimation of the secondary path is not perfect, and its final mean square error is independent of the secondary path. Moreover, we show that the sufficient and necessary stability condition for the feedforward unconstrained FxLMS is that the maximum phase error of the secondary path estimation must be within 90°, which is the only necessary condition for the feedback unconstrained FxLMS. The significance of the analysis on a practical system is also discussed. Finally we show how the obtained results can guide us to design a robust feedback ANC headset.
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