Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm

Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm

In this paper, a hybrid differential evolution and weight total least squares method (HDE-WTLSM) is proposed for antenna array pattern synthesis. A variable diagonal weight matrix is introduced in total least squares method. Then, the weight matrix is optimized by differential evolution (DE) algorit...

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Main Authors: Rui Li, Le Xu, Xiaoqun Chen, Yong Yang, Xiaoning Yang, Jianxiao Wang, Yuanming Cai, Feng Wei
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Electronics
Subjects:
antenna pattern synthesis
differential evolution (DE)
total least squares method (TLSM)
Online Access:https://www.mdpi.com/2079-9292/10/18/2227
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spelling doaj-b263760a01a64ea7943f5c996e0c42712021-09-26T00:03:15ZengMDPI AGElectronics2079-92922021-09-01102227222710.3390/electronics10182227Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic AlgorithmRui Li0Le Xu1Xiaoqun Chen2Yong Yang3Xiaoning Yang4Jianxiao Wang5Yuanming Cai6Feng Wei7Key Laboratory of Antennas and Microwave Technology, Xidian University, Xi’an 710071, ChinaKey Laboratory of Antennas and Microwave Technology, Xidian University, Xi’an 710071, ChinaInstitute of Telecommunication Satellite, CAST, Beijing 100094, ChinaBeijing Institute of Spacecraft Environment Engineering, Beijing 100089, ChinaBeijing Institute of Spacecraft Environment Engineering, Beijing 100089, ChinaNational Key Laboratory of Science and Technology on Space Microwave, China Academy of Space Technology, Xi’an 710100, ChinaKey Laboratory of Antennas and Microwave Technology, Xidian University, Xi’an 710071, ChinaKey Laboratory of Antennas and Microwave Technology, Xidian University, Xi’an 710071, ChinaIn this paper, a hybrid differential evolution and weight total least squares method (HDE-WTLSM) is proposed for antenna array pattern synthesis. A variable diagonal weight matrix is introduced in total least squares method. Then, the weight matrix is optimized by differential evolution (DE) algorithm to control the differences of the desired level and the obtained level in different directions. This algorithm combines the advantages of evolutionary algorithm and numerical algorithm, so it has a wider application range and faster convergence speed. To compare HDE-WTLSM with DE algorithm and typical numerical algorithms, these methods are applied to a linear antenna array and a conformal truncated conical array. Using our method, lower sidelobe levels and deeper nulls are obtained. The simulation results verify the validity and efficiently of HDE-WTLSM.https://www.mdpi.com/2079-9292/10/18/2227antenna pattern synthesisdifferential evolution (DE)total least squares method (TLSM)
collection DOAJ
language English
format Article
sources DOAJ
author Rui Li
Le Xu
Xiaoqun Chen
Yong Yang
Xiaoning Yang
Jianxiao Wang
Yuanming Cai
Feng Wei
spellingShingle Rui Li
Le Xu
Xiaoqun Chen
Yong Yang
Xiaoning Yang
Jianxiao Wang
Yuanming Cai
Feng Wei
Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm
Electronics
antenna pattern synthesis
differential evolution (DE)
total least squares method (TLSM)
author_facet Rui Li
Le Xu
Xiaoqun Chen
Yong Yang
Xiaoning Yang
Jianxiao Wang
Yuanming Cai
Feng Wei
author_sort Rui Li
title Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm
title_short Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm
title_full Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm
title_fullStr Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm
title_full_unstemmed Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm
title_sort array pattern synthesis using a hybrid differential evolution and analytic algorithm
publisher MDPI AG
series Electronics
issn 2079-9292
publishDate 2021-09-01
description In this paper, a hybrid differential evolution and weight total least squares method (HDE-WTLSM) is proposed for antenna array pattern synthesis. A variable diagonal weight matrix is introduced in total least squares method. Then, the weight matrix is optimized by differential evolution (DE) algorithm to control the differences of the desired level and the obtained level in different directions. This algorithm combines the advantages of evolutionary algorithm and numerical algorithm, so it has a wider application range and faster convergence speed. To compare HDE-WTLSM with DE algorithm and typical numerical algorithms, these methods are applied to a linear antenna array and a conformal truncated conical array. Using our method, lower sidelobe levels and deeper nulls are obtained. The simulation results verify the validity and efficiently of HDE-WTLSM.
topic antenna pattern synthesis
differential evolution (DE)
total least squares method (TLSM)
url https://www.mdpi.com/2079-9292/10/18/2227
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AT lexu arraypatternsynthesisusingahybriddifferentialevolutionandanalyticalgorithm
AT xiaoqunchen arraypatternsynthesisusingahybriddifferentialevolutionandanalyticalgorithm
AT yongyang arraypatternsynthesisusingahybriddifferentialevolutionandanalyticalgorithm
AT xiaoningyang arraypatternsynthesisusingahybriddifferentialevolutionandanalyticalgorithm
AT jianxiaowang arraypatternsynthesisusingahybriddifferentialevolutionandanalyticalgorithm
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