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Switched Step-Size-Based Filtered-x NLMS Algorithm for Active Noise Control

delete2026-01-23
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OA
AI
Z
Zhiyuan Li
Y
Yi Yu
何宏森 (Hongsen He)
Y
Yuyu Zhu
R
Rodrigo C. de Lamare
DOI:10.1109/ACCESS.2026.3657576delete
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Abstract

Abstract

En 中文
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 step-size FxNLMS (SSS-FxNLMS) algorithm. Specifically, we derive the mean-square deviation (MSD) trend of the FxNLMS algorithm, and then by comparing the MSD trends corresponding to different 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.
Keywords:
Active noise control
filtered-x normalized least mean square
impulsive noise
mean-square deviation
switched step-size

Journal

IEEE Access cover
IEEE Access
IF:
3.6
Papers:
9.8W
Citations:
29.4W

Organization

S
southwest university of science and technology
Scholars:
1.8K
Papers: 525
Citations: 0
P
pontifical catholic university of rio de janeiro
Scholars:
160
Papers: 73
Citations: 0