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arXiv · 2601.16382

Study of Switched Step-size Based Filtered-x NLMS Algorithm for Active Noise Cancellation

Zhiyuan Li·Yi Yu·Hongsen He·Yuyu Zhu·Rodrigo C. de Lamare
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Abstract

While the filtered-x normalized least mean square (FxNLMS) algorithm is widely applied due to its simple structure and easy implementation for active noise control system, it faces two critical limitations: the fixed step-size causes a trade-off between convergence rate and steady-state residual error, and its performance deteriorates significantly in impulsive noise environments. To address the step-size constraint issue, we propose the switched \mbox{step-size} FxNLMS (SSS-FxNLMS) algorithm. Specifically, we derive the \mbox{mean-square} deviation (MSD) trend of the FxNLMS algorithm, and then by comparing the MSD trends corresponding to different \mbox{step-sizes}, the optimal step-size for each iteration is selected. Furthermore, to enhance the algorithm's robustness in impulsive noise scenarios, we integrate a robust strategy into the SSS-FxNLMS algorithm, resulting in a robust variant of it. The effectiveness and superiority of the proposed algorithms has been confirmed through computer simulations in different noise scenarios.

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Zhiyuan Li, Yi Yu, Hongsen He, Yuyu Zhu, Rodrigo C. de Lamare. 2026-01-23. Study of Switched Step-size Based Filtered-x NLMS Algorithm for Active Noise Cancellation. https://arxiv.org/abs/2601.16382

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