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Two Improved Wavelet Transform Domain LMS Sign Adaptive Filter Algorithms Against Impulsive Interferences

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Abstract

In this paper, the improved wavelet transform domain least mean squares (IWTDLMS) adaptive algorithm is established. The IWTDLMS algorithm has a faster convergence speed than the conventional WTDLMS for colored input signals. Since the performances of WTDLMS and IWTDLMS are degraded in impulsive noise interference, the IWTDLMS sign algorithm (IWTDLMS-SA) is proposed. In comparison with IWTDLMS, the IWTDLMS-SA has lower computational complexity. In order to improve the performance of IWTDLMS-SA, the variable step-size IWTDLMS-SA (VSS-IWTDLMS-SA) is introduced. The VSS-IWTDLMS-SA is derived by minimizing the \(\ell _1\)-norm of the a posteriori error vector. To increase the tracking ability of the VSS-IWTDLMS-SA, the modified VSS-IWTDLMS-SA (MVSS-IWTDLMS-SA)is presented. The simulation results demonstrate that the proposed algorithms have a faster convergence rate and lower misadjustment than the conventional WTDLMS. The robustness feature of the IWTDLMS-SA, VSS-IWTDLMS-SA, and MVSS-IWTDLMS-SA against impulsive noises is also verified through several experiments in a system identification setup.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, P.O.Box: 16785-163, Tehran, Iran

    Mohammad Shams Esfand Abadi

  2. Department of Applied Mathematics, Shahid Rajaee Teacher Training University, P.O.Box: 16785-163, Tehran, Iran

    Hamid Mesgarani & Seyed Mahmoud Khademiyan

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  1. Mohammad Shams Esfand Abadi
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  2. Hamid Mesgarani
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  3. Seyed Mahmoud Khademiyan
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Correspondence to Seyed Mahmoud Khademiyan.

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Abadi, M.S.E., Mesgarani, H. & Khademiyan, S.M. Two Improved Wavelet Transform Domain LMS Sign Adaptive Filter Algorithms Against Impulsive Interferences. Circuits Syst Signal Process 40, 958–979 (2021). https://doi.org/10.1007/s00034-020-01508-5

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