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An Enhanced Impulse Noise Control Algorithm Using a Novel Nonlinear Function

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Abstract

In many scenarios where impulse noise occurs, an active noise control (ANC) system using a filtered-x least mean square (FxLMS) algorithm will have undesirable effects. To solve this problem, a novel adaptive algorithm is proposed that takes the Gaussian error function as the cost function to nonlinearly transform the residual error. To attenuate the different levels of impulse noise, the parameter \(k\) is used as a factor that transforms the error signal by different degrees. To further improve the efficiency of the algorithm, we propose a variable step size strategy based on normalized variable step size, combined with the sine function. Not only the random impulse noise signals generated by the Chambers-Mallows-Stuck method are adopted for simulation, but also the noise signals collected from real vehicles are used in this work. Finally, the simulations are carried out and the results show that the proposed algorithm offers perfect performance in dealing with different levels of impulse noise.

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Funding

This study was supported by the Natural Science Foundation of Chongqing, China (cstc2021jcyj-msxmX0152) and the National Natural Science Foundation project (No. 51775222).

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Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, Jilin University, Changchun, 130022, China

    Yabing Cheng & Chao Li

  2. The State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun, 130022, China

    Shuming Chen & Zhengdao Zhou

  3. Chongqing Research Institute, Jilin University, Chongqing, 401123, China

    Shuming Chen

Authors
  1. Yabing Cheng
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  2. Chao Li
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  3. Shuming Chen
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  4. Zhengdao Zhou
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Contributions

YC: Data curation, Writing-Reviewing and Editing, Project administration. CL: Conceptualization, Methodology, Writing-Original draft preparation. SC: Data curation, Writing-Reviewing and Editing, Project administration. ZZ: Supervision, Investigation. I would like to declare on behalf of my co-authors that the work described is original research and has not been published previously, in whole or in part. All the authors listed have approved the manuscript that is enclosed.

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Correspondence to Shuming Chen.

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Cheng, Y., Li, C., Chen, S. et al. An Enhanced Impulse Noise Control Algorithm Using a Novel Nonlinear Function. Circuits Syst Signal Process 42, 6524–6543 (2023). https://doi.org/10.1007/s00034-023-02421-3

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  • DOI: https://doi.org/10.1007/s00034-023-02421-3

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