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

Shujaat Khan; Abdul Wahab; Imran Naseem; Muhammad Moinuddin

doi:10.1007/s11071-020-05850-w

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

Shujaat Khan, Abdul Wahab, Imran Naseem, Muhammad Moinuddin

Electrical, Electronic and Computer Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Web of Science)

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.

Original language	English
Pages (from-to)	1053-1060
Number of pages	8
Journal	Nonlinear Dynamics
Volume	101
Issue number	2
DOIs	https://doi.org/10.1007/s11071-020-05850-w
Publication status	Published - 1 Jul 2020

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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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AU - Naseem, Imran

AU - Moinuddin, Muhammad

PY - 2020/7/1

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KW - Fractional-order variant of LMS

KW - Least mean squares algorithm

KW - Normalized LMS

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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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