The Journal of China Universities of Posts and Telecommunications ›› 2023, Vol. 30 ›› Issue (1): 56-65.doi: 10.19682/j.cnki.1005-8885.2023.2006

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Variable step-size adaptive filtering algorithm based on an exponent sin function

Guan Sihai, Cheng Qing, Zhao Yong, Liu Fangyao   

  1. 1. College of Electronic and Information, Southwest Minzu University, Chengdu 610225, China
    2. Sichuan Vocational College of Finance and Economics, Chengdu 610101, China
    3. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, China
  • Received:2021-08-04 Revised:2021-12-06 Accepted:2023-02-13 Online:2023-02-28 Published:2023-02-28
  • Contact: Guan Sihai, E-mail: gcihey@sina.cn E-mail:gcihey@sina.cn

Abstract: This paper proposes a robust adaptive filter based on the exponent sin cost to improve the capability against Gaussian or multiple types of non-Gaussian noises of the adaptive filtering algorithm when dealing with time-varying/ time-invariant linear systems function exponent sin (ExpSin). Then a variable step-size (VSS)-ExpSin algorithm is extended further. Besides, the stepsize, the convergence, and the steady-state performance of the proposed algorithm are validated experimentally. The Monte Carlo simulation results of linear system identification illustrate the principle and efficiency of this proposed adaptive filtering algorithm. Results suggest that the proposed adaptive filtering algorithm has superior performance when estimating the unknown linear systems under multiple-types measurement noises.

Key words: adaptive filter, the exponent sin function, variable step-size, time-varying/ time-invariant, multiple types of noises

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