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A Normalized Least Mean Square Algorithm Based on the Arctangent Cost Function Robust Against Impulsive Interference

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Abstract

In this paper, a normalized least mean square (NLMS) adaptive filtering algorithm based on the arctangent cost function that improves the robustness against impulsive interference is proposed. Owing to the excellent characteristics of the arctangent cost function, the adaptive update of the weight vector stops automatically in the presence of impulsive interference. Thus, this eliminates the likelihood of updating the weight vector based on wrong information resulting from the impulsive interference. When the priori error is small, the NLMS algorithm based on the arctangent cost function operates as the conventional NLMS algorithm. Simulation results show that the proposed algorithm can achieve better performance than the traditional NLMS algorithm, the normalized least logarithmic absolute difference algorithm and the normalized sign algorithm in system identification experiments that include impulsive interference and abrupt changes.

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Acknowledgments

This work was supported by Program for ChangJiang Scholars and Innovative Research Team in University (IRT1299), and the special fund of Chongqing key laboratory (CSTC), Chongqing University of Post and Telecommunications (Chongqing) Innovative Research Project Fund for Graduate Students (CYS14143), National Nature Science Foundation of China (61271259 and 61301123).

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Authors and Affiliations

  1. Chongqing Key Lab of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China

    Junjun Zeng, Yun Lin & Liming Shi

Authors
  1. Junjun Zeng
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  2. Yun Lin
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  3. Liming Shi
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Correspondence to Junjun Zeng.

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Zeng, J., Lin, Y. & Shi, L. A Normalized Least Mean Square Algorithm Based on the Arctangent Cost Function Robust Against Impulsive Interference. Circuits Syst Signal Process 35, 3040–3047 (2016). https://doi.org/10.1007/s00034-015-0175-5

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  • DOI: https://doi.org/10.1007/s00034-015-0175-5

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