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Variable Step-Size Diffusion Normalized Sign-Error Algorithm

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Abstract

In this paper, a novel diffusion estimation algorithm is proposed by combining the adapt-then-combine (ATC) diffusion NLMS (DNLMS) and the sign operation to the error signals at all agents. Due to using the sign operation, the proposed algorithm has a robust performance against impulsive noise. A variable step size is obtained by minimizing the mean-square deviation to achieve fast convergence rate and small steady-state error. Meanwhile, the proposed algorithm has a good tracking capability when the system suddenly changes. Simulations on system identifications demonstrate that the proposed diffusion algorithm shows a good performance under an impulsive noise scenario.

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Acknowledgements

This work was partially supported by National Science Foundation of P. R. China (Grant: 61671392).

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Authors and Affiliations

  1. The Sichuan Province Key Lab of Signal and Information Processing at Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Pengwei Wen & Jiashu Zhang

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  1. Pengwei Wen
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  2. Jiashu Zhang
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Correspondence to Pengwei Wen.

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Wen, P., Zhang, J. Variable Step-Size Diffusion Normalized Sign-Error Algorithm. Circuits Syst Signal Process 37, 4993–5004 (2018). https://doi.org/10.1007/s00034-018-0797-5

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