Comments on "Design of momentum fractional LMS for Hammerstein nonlinear system identification with application to electrically stimulated muscle model"

TL;DR

This paper critically examines the convergence analysis of a previously proposed fractional LMS algorithm for Hammerstein systems, highlighting issues in the original mathematical justifications.

Contribution

It provides a critical review of the convergence proof in the original work, emphasizing the need for valid mathematical validation.

Findings

Original convergence proof lacks proper mathematical justification

Highlights the importance of rigorous analysis in adaptive algorithm design

Calls for revised proofs to ensure algorithm reliability

Abstract

The purpose of this article is to discuss some aspects of the convergence analysis performed in the paper [Design of momentum fractional LMS for Hammerstein nonlinear system identification with application to electrically stimulated muscle model, Eur. Phys. J. Plus (2019) \textbf{134}: 407]. It is highlighted that the way the authors prove convergence suffers a lack of correct and valid mathematical justifications.