Sharif University of Technology Scientia Iranica 1026-3098 27 3 2020 06 01 The variable step-size wavelet transform-domain LMS adaptive filter algorithm 1398 1412 20827 10.24200/sci.2018.20827 EN M. Shams Esfand Abadi Faculty of Electrical Engineering, Shahid Rajaee Teacher Training University, P.O.Box: 16785-163, Tehran, Iran H. Mesgarani Faculty of Science, Shahid Rajaee Teacher Training University, P.O.Box: 16785-163, Tehran, Iran S.M. Khademiyan Faculty of Science, Shahid Rajaee Teacher Training University, P.O.Box: 16785-163, Tehran, Iran Journal Article 2017 04 27 In this paper, the wavelet transform domain least mean squares (WTDLMS) adaptive algorithm with variable<br />step-size (VSS) is established. The step-size changes according to the largest decrease in mean square deviation. To keep the computational complexity low, the Haar wavelet transform (HWT) is utilized as a transform. In addition, the mean square performance analysis of the VSS-WTDLMS is studied in the stationary and nonstationary environments and the theoretical relations for transient and steady-state performances are established. The simulation results show that the proposed VSS-WTDLMS has faster convergence rate and lower misadjustment than conventional WTDLMS. The theoretical relations are also verified by presenting various experimental results. https://scientiairanica.sharif.edu/article_20827_d900e001682eea503ec20ebcb752db84.pdf