Synthesis of Large Ultra-wideband Sparse Circular Planar Arrays Based on Rotationally Symmetric Structure

This article aims to improve the synthesis efficiency and radiation performance of large ultra-wideband (UWB) rotationally symmetric sparse circular planar arrays by using a modified differential evolution algorithm (MDEA). In the proposed MDEA, we adopt a new encoding mechanism in which an individu...

Full description

Bibliographic Details
Main Authors: Foxiang Liu, Pin Wen, Chaoqun Zhang, Lei Wang, Kaida Xu
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/12/23/4833
_version_ 1797400285425958912
author Foxiang Liu
Pin Wen
Chaoqun Zhang
Lei Wang
Kaida Xu
author_facet Foxiang Liu
Pin Wen
Chaoqun Zhang
Lei Wang
Kaida Xu
author_sort Foxiang Liu
collection DOAJ
description This article aims to improve the synthesis efficiency and radiation performance of large ultra-wideband (UWB) rotationally symmetric sparse circular planar arrays by using a modified differential evolution algorithm (MDEA). In the proposed MDEA, we adopt a new encoding mechanism in which an individual represents an element position expressed in polar coordinates. Importantly, such an encoding mechanism can facilitate the multiplication calculation for the array factor in the individual being updated while making it easier to meet the given minimum element spacing constraint. Moreover, to cater to the new encoding mechanism, some low-dimensional evolution operators are introduced to avoid the prematurity. In particular, the UWB rotationally symmetric sparse planar array synthesis problem is transformed into the sidelobe suppression problem of the array pattern at the highest frequency under the given array aperture, and the minimum spacing constraints is used to guarantee enough space to place physical UWB antenna elements. Two synthesis examples of UWB sparse planar arrays based on rotationally symmetric structures are presented. The results show that the peak sidelobe level (PSL) obtained by the proposed MDEA is significantly lower than the results obtained by some existing algorithms in an acceptable CPU time, which proves the effectiveness and superiority of the proposed MDEA.
first_indexed 2024-03-09T01:53:22Z
format Article
id doaj.art-ec8fe7dffc6b4fb9bbef3568db380aec
institution Directory Open Access Journal
issn 2079-9292
language English
last_indexed 2024-03-09T01:53:22Z
publishDate 2023-11-01
publisher MDPI AG
record_format Article
series Electronics
spelling doaj.art-ec8fe7dffc6b4fb9bbef3568db380aec2023-12-08T15:14:11ZengMDPI AGElectronics2079-92922023-11-011223483310.3390/electronics12234833Synthesis of Large Ultra-wideband Sparse Circular Planar Arrays Based on Rotationally Symmetric StructureFoxiang Liu0Pin Wen1Chaoqun Zhang2Lei Wang3Kaida Xu4School of Information Engineering, Nanchang University, Nanchang 330029, ChinaSchool of Information Engineering, Nanchang University, Nanchang 330029, ChinaSchool of Information Engineering, Nanchang University, Nanchang 330029, ChinaWuhan Zhongyuan Communication Co., Ltd., Wuhan 430205, ChinaSchool of Information and Communications Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaThis article aims to improve the synthesis efficiency and radiation performance of large ultra-wideband (UWB) rotationally symmetric sparse circular planar arrays by using a modified differential evolution algorithm (MDEA). In the proposed MDEA, we adopt a new encoding mechanism in which an individual represents an element position expressed in polar coordinates. Importantly, such an encoding mechanism can facilitate the multiplication calculation for the array factor in the individual being updated while making it easier to meet the given minimum element spacing constraint. Moreover, to cater to the new encoding mechanism, some low-dimensional evolution operators are introduced to avoid the prematurity. In particular, the UWB rotationally symmetric sparse planar array synthesis problem is transformed into the sidelobe suppression problem of the array pattern at the highest frequency under the given array aperture, and the minimum spacing constraints is used to guarantee enough space to place physical UWB antenna elements. Two synthesis examples of UWB sparse planar arrays based on rotationally symmetric structures are presented. The results show that the peak sidelobe level (PSL) obtained by the proposed MDEA is significantly lower than the results obtained by some existing algorithms in an acceptable CPU time, which proves the effectiveness and superiority of the proposed MDEA.https://www.mdpi.com/2079-9292/12/23/4833ultra-wideband (UWB)array synthesislarge planar arraysparse array
spellingShingle Foxiang Liu
Pin Wen
Chaoqun Zhang
Lei Wang
Kaida Xu
Synthesis of Large Ultra-wideband Sparse Circular Planar Arrays Based on Rotationally Symmetric Structure
Electronics
ultra-wideband (UWB)
array synthesis
large planar array
sparse array
title Synthesis of Large Ultra-wideband Sparse Circular Planar Arrays Based on Rotationally Symmetric Structure
title_full Synthesis of Large Ultra-wideband Sparse Circular Planar Arrays Based on Rotationally Symmetric Structure
title_fullStr Synthesis of Large Ultra-wideband Sparse Circular Planar Arrays Based on Rotationally Symmetric Structure
title_full_unstemmed Synthesis of Large Ultra-wideband Sparse Circular Planar Arrays Based on Rotationally Symmetric Structure
title_short Synthesis of Large Ultra-wideband Sparse Circular Planar Arrays Based on Rotationally Symmetric Structure
title_sort synthesis of large ultra wideband sparse circular planar arrays based on rotationally symmetric structure
topic ultra-wideband (UWB)
array synthesis
large planar array
sparse array
url https://www.mdpi.com/2079-9292/12/23/4833
work_keys_str_mv AT foxiangliu synthesisoflargeultrawidebandsparsecircularplanararraysbasedonrotationallysymmetricstructure
AT pinwen synthesisoflargeultrawidebandsparsecircularplanararraysbasedonrotationallysymmetricstructure
AT chaoqunzhang synthesisoflargeultrawidebandsparsecircularplanararraysbasedonrotationallysymmetricstructure
AT leiwang synthesisoflargeultrawidebandsparsecircularplanararraysbasedonrotationallysymmetricstructure
AT kaidaxu synthesisoflargeultrawidebandsparsecircularplanararraysbasedonrotationallysymmetricstructure