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An Improved Sign Subband Adaptive Filter Algorithm

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Abstract

To make the zero attractor sign subband adaptive filter (ZA-SSAF) algorithm more suitable for sparse systems, where the impulse response is sparse and disturbed with impulse interference, this paper proposes an improved sign subband adaptive filtering algorithm that takes advantage of the splendid robustness of the arctangent function against impulse interference. Based on the ZA-SSAF algorithm, this algorithm introduces a proportionate coefficient matrix composed of a nonlinear function (the arctangent function) to assign different step sizes for the tap coefficients that need to be updated. The step size of the algorithm is updated in proportion to the magnitude of the weight coefficient in the adaptive process according to the relationship of the arctangent function, which greatly shortens the calculation convergence time and improves the overall convergence performance. The simulation results show that the proposed algorithm takes into account the trade-off between a faster convergence rate and a lower steady-state error and is superior to the traditional sign subband algorithm and zero attractor sign subband adaptive filtering algorithm in terms of the convergence rate and robustness against impulse noise.

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Data Availability Statement

All data generated or analyzed during this study are included in this article. Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

This work was partially supported by National Natural Science Foundation of China (Grant No.: 61561044)

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Author notes

  1. Ruibo Ding, Yongfeng Qi and Lihua Tuo have contributed equally to this work.

Authors and Affiliations

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, 730000, China

    Yuanlian Huo, Ruibo Ding & Lihua Tuo

  2. College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730000, China

    Yongfeng Qi

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  1. Yuanlian Huo
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  2. Ruibo Ding
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  3. Yongfeng Qi
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  4. Lihua Tuo
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Correspondence to Yuanlian Huo.

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Huo, Y., Ding, R., Qi, Y. et al. An Improved Sign Subband Adaptive Filter Algorithm. Circuits Syst Signal Process 41, 7101–7116 (2022). https://doi.org/10.1007/s00034-022-02115-2

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