An optimized differential step-size LMS algorithm
type: Item
instance of: scholarly article
title: An optimized differential step-size LMS algorithm
zbMATH Open document ID: 1451.93394
author: Alexandru-George Rusu
author: Silviu Ciochină
author: Constantin Paleologu
author: J. Benesty
published in: Algorithms
publication date: 2020-10-08T00:00:00Z
review text: Summary: Adaptive algorithms with differential step-sizes (related to the filter coefficients) are well known in the literature, most frequently as ``proportionate'' algorithms. Usually, they are derived on a heuristic basis. In this paper, we introduce an algorithm resulting from an optimization criterion. Thereby, we obtain a benchmark algorithm and also another version with lower computational complexity, which is rigorously valid for less correlated input signals. Simulation results confirm the theory and outline the performance of the algorithms. Unfortunately, the good performance is obtained by an important increase in computational complexity. Nevertheless, the proposed algorithms could represent useful benchmarks in the field.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93E24
Mathematics Subject Classification ID: 93E12
zbMATH DE Number: 7257767
zbMATH Keywords: adaptive filter
zbMATH Keywords: least-mean-square (LMS) algorithm
zbMATH Keywords: optimized differential step-size LMS algorithm
zbMATH Keywords: system identification
zbMATH Keywords: echo cancellation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a12080147
OpenAlex ID: W2963256822
cites work: Proportionate adaptive algorithms for network echo cancellation
cites work: A PNLMS Algorithm With Individual Activation Factors
cites work: A proportionate normalized maximum correntropy criterion algorithm with correntropy induced metric constraint for identifying sparse systems
cites work: A New Variable Step-Size NLMS Algorithm and Its Performance Analysis
cites work: Gaussian elimination is not optimal
cites work: Matrix multiplication via arithmetic progressions
DOI: 10.3390/A12080147
description: scientific article; zbMATH DE number 7257767