On Modelling and Comparative Study of LMS and RLS Algorithms for Synthesis of MSA

This paper deals with analytical modelling of microstrip patch antenna (MSA) by means of artificial neural network (ANN) using least mean square (LMS) and recursive least square (RLS) algorithms. Our contribution in this work is twofold. We initially provide a tutorial-like exposition for the design...

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Main Authors: Ahmad Kamal Hassan, Adnan Affandi
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Modelling and Simulation in Engineering
Online Access:http://dx.doi.org/10.1155/2016/9742483
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author Ahmad Kamal Hassan
Adnan Affandi
author_facet Ahmad Kamal Hassan
Adnan Affandi
author_sort Ahmad Kamal Hassan
collection DOAJ
description This paper deals with analytical modelling of microstrip patch antenna (MSA) by means of artificial neural network (ANN) using least mean square (LMS) and recursive least square (RLS) algorithms. Our contribution in this work is twofold. We initially provide a tutorial-like exposition for the design aspects of MSA and for the analytical framework of the two algorithms while our second aim is to take advantage of high nonlinearity of MSA to compare the effectiveness of LMS and that of RLS algorithms. We investigate the two algorithms by using gradient decent optimization in the context of radial basis function (RBF) of ANN. The proposed analysis is based on both static and adaptive spread factor. We model the forward side or synthesis of MSA by means of worked examples and simulations. Contour plots, 3D depictions, and Tableau presentations provide a comprehensive comparison of the two algorithms. Our findings point to higher accuracies in approximation for synthesis of MSA using RLS algorithm as compared with that of LMS approach; however the computational complexity increases in the former case.
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spelling doaj-art-e62e076f2ac94faaa023cd75237354552025-02-03T05:57:11ZengWileyModelling and Simulation in Engineering1687-55911687-56052016-01-01201610.1155/2016/97424839742483On Modelling and Comparative Study of LMS and RLS Algorithms for Synthesis of MSAAhmad Kamal Hassan0Adnan Affandi1Department of Electrical and Computer Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Electrical and Computer Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaThis paper deals with analytical modelling of microstrip patch antenna (MSA) by means of artificial neural network (ANN) using least mean square (LMS) and recursive least square (RLS) algorithms. Our contribution in this work is twofold. We initially provide a tutorial-like exposition for the design aspects of MSA and for the analytical framework of the two algorithms while our second aim is to take advantage of high nonlinearity of MSA to compare the effectiveness of LMS and that of RLS algorithms. We investigate the two algorithms by using gradient decent optimization in the context of radial basis function (RBF) of ANN. The proposed analysis is based on both static and adaptive spread factor. We model the forward side or synthesis of MSA by means of worked examples and simulations. Contour plots, 3D depictions, and Tableau presentations provide a comprehensive comparison of the two algorithms. Our findings point to higher accuracies in approximation for synthesis of MSA using RLS algorithm as compared with that of LMS approach; however the computational complexity increases in the former case.http://dx.doi.org/10.1155/2016/9742483
spellingShingle Ahmad Kamal Hassan
Adnan Affandi
On Modelling and Comparative Study of LMS and RLS Algorithms for Synthesis of MSA
Modelling and Simulation in Engineering
title On Modelling and Comparative Study of LMS and RLS Algorithms for Synthesis of MSA
title_full On Modelling and Comparative Study of LMS and RLS Algorithms for Synthesis of MSA
title_fullStr On Modelling and Comparative Study of LMS and RLS Algorithms for Synthesis of MSA
title_full_unstemmed On Modelling and Comparative Study of LMS and RLS Algorithms for Synthesis of MSA
title_short On Modelling and Comparative Study of LMS and RLS Algorithms for Synthesis of MSA
title_sort on modelling and comparative study of lms and rls algorithms for synthesis of msa
url http://dx.doi.org/10.1155/2016/9742483
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