Performance Evaluation of LMS and CM Algorithms for Beamforming

In this paper, we compare the performances of the least mean square (LMS) and constant modulus (CM) algorithms for beamforming. Our interest in these algorithms finds its origins in their reliability as a source-receiver pair. In addition, their use brings a great frequency of diversity even to resp...

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Main Authors: Mossaab Atzemourt, Abdelmajid Farchi, Younes Chihab, Zakaria Hachkar
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2022/7744625
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author Mossaab Atzemourt
Abdelmajid Farchi
Younes Chihab
Zakaria Hachkar
author_facet Mossaab Atzemourt
Abdelmajid Farchi
Younes Chihab
Zakaria Hachkar
author_sort Mossaab Atzemourt
collection DOAJ
description In this paper, we compare the performances of the least mean square (LMS) and constant modulus (CM) algorithms for beamforming. Our interest in these algorithms finds its origins in their reliability as a source-receiver pair. In addition, their use brings a great frequency of diversity even to respond quickly to the increasing spectral demand. The results suggest that the greater the number of elements in the antenna, the better the directivity for both LMS and CM. We also note that a judicious choice of the control parameter mu leads to a better speed of convergence for the two algorithms. Let us note, however, that LMS is more efficient. Our simulations show that in an environment affected by white Gaussian noise, LMS is more robust than CM. This confirms the theoretical result due to the fact that LMS uses a sequence for learning. Performance analyses of the two techniques are simulated in the MATLAB environment.
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institution Kabale University
issn 1687-8442
language English
publishDate 2022-01-01
publisher Wiley
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series Advances in Materials Science and Engineering
spelling doaj-art-89af75134fcd45d5a902cfebdb179a6f2025-02-03T06:05:55ZengWileyAdvances in Materials Science and Engineering1687-84422022-01-01202210.1155/2022/7744625Performance Evaluation of LMS and CM Algorithms for BeamformingMossaab Atzemourt0Abdelmajid Farchi1Younes Chihab2Zakaria Hachkar3Fundamental and Applied Physics LaboratoryMechanical EngineeringLaboratory of Computer SciencesFundamental and Applied Physics LaboratoryIn this paper, we compare the performances of the least mean square (LMS) and constant modulus (CM) algorithms for beamforming. Our interest in these algorithms finds its origins in their reliability as a source-receiver pair. In addition, their use brings a great frequency of diversity even to respond quickly to the increasing spectral demand. The results suggest that the greater the number of elements in the antenna, the better the directivity for both LMS and CM. We also note that a judicious choice of the control parameter mu leads to a better speed of convergence for the two algorithms. Let us note, however, that LMS is more efficient. Our simulations show that in an environment affected by white Gaussian noise, LMS is more robust than CM. This confirms the theoretical result due to the fact that LMS uses a sequence for learning. Performance analyses of the two techniques are simulated in the MATLAB environment.http://dx.doi.org/10.1155/2022/7744625
spellingShingle Mossaab Atzemourt
Abdelmajid Farchi
Younes Chihab
Zakaria Hachkar
Performance Evaluation of LMS and CM Algorithms for Beamforming
Advances in Materials Science and Engineering
title Performance Evaluation of LMS and CM Algorithms for Beamforming
title_full Performance Evaluation of LMS and CM Algorithms for Beamforming
title_fullStr Performance Evaluation of LMS and CM Algorithms for Beamforming
title_full_unstemmed Performance Evaluation of LMS and CM Algorithms for Beamforming
title_short Performance Evaluation of LMS and CM Algorithms for Beamforming
title_sort performance evaluation of lms and cm algorithms for beamforming
url http://dx.doi.org/10.1155/2022/7744625
work_keys_str_mv AT mossaabatzemourt performanceevaluationoflmsandcmalgorithmsforbeamforming
AT abdelmajidfarchi performanceevaluationoflmsandcmalgorithmsforbeamforming
AT youneschihab performanceevaluationoflmsandcmalgorithmsforbeamforming
AT zakariahachkar performanceevaluationoflmsandcmalgorithmsforbeamforming