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Comments on “Design of fractional-order variants of complex LMS and NLMS algorithms for adaptive channel equalization”

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Abstract

The purpose of this note is to discuss some aspects of recently proposed fractional-order variants of complex least mean square (CLMS) and normalized least mean square (NLMS) algorithms in Shah et al. (Nonlinear Dyn. 88(2):839–858, 2017). It is observed that these algorithms do not always converge, whereas they have apparently no advantage over the CLMS and NLMS algorithms whenever they converge. Our claims are based on analytical reasoning and are supported by numerical simulations.

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Authors and Affiliations

  1. Bio Imaging, Signal Processing & Learning Laboratory, Department of Bio and Brain Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, South Korea

    Shujaat Khan

  2. Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology (NUST), Sector H-12, Islamabad, 44000, Pakistan

    Abdul Wahab

  3. School of Electrical, Electronic and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA, 6009, Australia

    Imran Naseem

  4. College of Engineering, Karachi Institute of Economics and Technology, Korangi Creek, Karachi, 75190, Pakistan

    Imran Naseem

  5. Center of Excellence in Intelligent Engineering Systems (CEIES), King Abdulaziz University, Jeddah, Saudi Arabia

    Muhammad Moinuddin

  6. Electrical and Computer Engineering Department, King Abdulaziz University, Jeddah, Saudi Arabia

    Muhammad Moinuddin

Authors
  1. Shujaat Khan
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  2. Abdul Wahab
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  3. Imran Naseem
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  4. Muhammad Moinuddin
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Correspondence to Abdul Wahab.

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Khan, S., Wahab, A., Naseem, I. et al. Comments on “Design of fractional-order variants of complex LMS and NLMS algorithms for adaptive channel equalization”. Nonlinear Dyn 101, 1053–1060 (2020). https://doi.org/10.1007/s11071-020-05850-w

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  • DOI: https://doi.org/10.1007/s11071-020-05850-w

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