Interval-Bounded Optimal Power Pattern Synthesis of Array Antenna Excitations Robust to Mutual Coupling

A method for the optimal synthesis of linear phased arrays when calibration errors and mutual coupling are present is proposed. Starting from the knowledge of the mutual coupling model and of the calibration tolerances, the Circular Interval Analysis ( CIA ) is used to derive analytic and reliable p...

Full description

Saved in:

Bibliographic Details
Published in	IEEE antennas and wireless propagation letters Vol. 22; no. 11; pp. 1 - 5
Main Authors	Ding, G., Anselmi, N., Xu, W., Li, P., Rocca, P.
Format	Journal Article
Language	English
Published	New York IEEE 01.11.2023 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects	Antenna arrays cali- bration errors Calibration circular interval analysis convex programming Convexity Linear antenna arrays Lower bounds Monte Carlo methods Mutual coupling mutual coupling errors Optimization Optimized production technology Phased array Phased arrays Reliability analysis Robustness (mathematics) Sidelobes Synthesis tolerance analysis Tolerances Upper bounds
Online Access	Get full text
ISSN	1536-1225 1548-5757
DOI	10.1109/LAWP.2023.3291428

Cover

Abstract	A method for the optimal synthesis of linear phased arrays when calibration errors and mutual coupling are present is proposed. Starting from the knowledge of the mutual coupling model and of the calibration tolerances, the Circular Interval Analysis ( CIA ) is used to derive analytic and reliable power pattern bounds used within a Convex Programming ( CP )-based optimization, such that the lower bound of the power pattern main beam peak is maximized while the sidelobes are constrained by an arbitrary upper-bound mask. To evaluate the reliability and effectiveness of the proposed CIA - CP methodology, a set of representative numerical results is reported and compared with Monte Carlo and full-wave simulations.
AbstractList	A method for the optimal synthesis of linear phased arrays when calibration errors and mutual coupling are present is proposed. Starting from the knowledge of the mutual coupling model and of the calibration tolerances, the Circular Interval Analysis ( CIA ) is used to derive analytic and reliable power pattern bounds used within a Convex Programming ( CP )-based optimization, such that the lower bound of the power pattern main beam peak is maximized while the sidelobes are constrained by an arbitrary upper-bound mask. To evaluate the reliability and effectiveness of the proposed CIA - CP methodology, a set of representative numerical results is reported and compared with Monte Carlo and full-wave simulations.
Author	Ding, G. Li, P. Rocca, P. Anselmi, N. Xu, W.
Author_xml	– sequence: 1 givenname: G. orcidid: 0000-0001-5746-1797 surname: Ding fullname: Ding, G. organization: Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xid- ian University, Xi'an, China – sequence: 2 givenname: N. orcidid: 0000-0001-5970-5679 surname: Anselmi fullname: Anselmi, N. organization: DICAM - Department of Civil, Environmental, and Mechanical Engineering, ELEDIA Research Center (ELEDIA@UniTN - University of Trento), Trento, Italy – sequence: 3 givenname: W. orcidid: 0000-0001-7243-6717 surname: Xu fullname: Xu, W. organization: Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xid- ian University, Xi'an, China – sequence: 4 givenname: P. orcidid: 0000-0002-3118-5592 surname: Li fullname: Li, P. organization: Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xid- ian University, Xi'an, China – sequence: 5 givenname: P. orcidid: 0000-0003-4522-6903 surname: Rocca fullname: Rocca, P. organization: DICAM - Department of Civil, Environmental, and Mechanical Engineering, ELEDIA Research Center (ELEDIA@UniTN - University of Trento), Trento, Italy
BookMark	eNp9kFtLwzAYhoNMcJv-AMGLgNedOTbtZR1TB5MND3hZsjSdHTWpSaru39uyCeKFV0nI-7wf3zMCA2ONBuAcownGKL1aZC-rCUGETihJMSPJERhizpKICy4G_Z3GESaEn4CR91uEsIg5HYLN3ATtPmQdXdvWFLqAyyZUb7KGK_upHVzJ0P0b-Lgz4VX7ykNbwsw5uYNZRxoj4exLVUGGyhoPH-y69QEGC-_b0HYtU9s2dWU2p-C4lLXXZ4dzDJ5vZk_Tu2ixvJ1Ps0WkSMpCxLmQnAqpCEWqKGJc6FiVWKWMaJGURaoEZQLxRBO85t2T8GKNYkwKVqo4kXQMLve9jbPvrfYh39rWmW5kTpKEJSnFjHYpsU8pZ713usx_VghOVnWOUd5bzXureW81P1jtSPyHbFyny-3-ZS72TKW1_pXHAlOW0m8ZnoYK
CODEN	IAWPA7
CitedBy_id	crossref_primary_10_1109_TAP_2025_3531144 crossref_primary_10_1007_s11276_023_03562_8 crossref_primary_10_1016_j_optmat_2023_114746 crossref_primary_10_1007_s11276_023_03589_x crossref_primary_10_1016_j_heliyon_2024_e25107 crossref_primary_10_1007_s10723_023_09714_6 crossref_primary_10_1007_s11082_023_06062_3 crossref_primary_10_1007_s11082_023_06063_2 crossref_primary_10_1007_s11276_023_03560_w crossref_primary_10_1007_s11664_023_10831_x crossref_primary_10_1007_s11082_023_05604_z crossref_primary_10_1016_j_aej_2023_12_018 crossref_primary_10_1088_1402_4896_ad289f crossref_primary_10_1016_j_heliyon_2023_e23712 crossref_primary_10_3390_s24113295 crossref_primary_10_1007_s11277_023_10777_7 crossref_primary_10_3390_biomimetics9020074 crossref_primary_10_3390_s24102971 crossref_primary_10_1016_j_heliyon_2023_e23711 crossref_primary_10_1007_s11276_023_03578_0 crossref_primary_10_3390_electronics12183813 crossref_primary_10_3390_aerospace11070505 crossref_primary_10_3390_s23177485 crossref_primary_10_3390_mi14111975 crossref_primary_10_1007_s12046_023_02416_5 crossref_primary_10_1088_1402_4896_ad0bbc crossref_primary_10_1038_s41598_023_48860_5
Cites_doi	10.1109/ACCESS.2021.3055228 10.1109/TAP.2014.2342758 10.1109/TAP.2005.844444 10.1049/iet-map.2013.0203 10.1109/TAP.2022.3142333 10.1049/iet-map.2015.0837 10.1109/TAP.2012.2233453 10.1109/LAWP.2013.2261912 10.1109/TAP.1975.1141043 10.1109/TAP.2017.2754458 10.1109/LAWP.2022.3179404 10.1049/el:19850589 10.1049/ip-map:20040175 10.1109/TAP.2013.2276927 10.3390/s16060791 10.1109/TAP.2013.2259455 10.3390/s22249828 10.1109/TAP.2014.2318071 10.1109/8.504307 10.1109/TAP.2016.2627548 10.1109/TAP.2017.2670319
ContentType	Journal Article
Copyright	Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023
Copyright_xml	– notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023
DBID	97E RIA RIE AAYXX CITATION 7SP 8FD L7M
DOI	10.1109/LAWP.2023.3291428
DatabaseName	IEEE All-Society Periodicals Package (ASPP) 2005–Present IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef Electronics & Communications Abstracts Technology Research Database Advanced Technologies Database with Aerospace
DatabaseTitle	CrossRef Technology Research Database Advanced Technologies Database with Aerospace Electronics & Communications Abstracts
DatabaseTitleList	Technology Research Database
Database_xml	– sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/ sourceTypes: Publisher
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	1548-5757
EndPage	5
ExternalDocumentID	10_1109_LAWP_2023_3291428 10171349
Genre	orig-research
GrantInformation_xml	– fundername: Department of Science and Technology of Shaanxi Province under the Key Research and Development Program – fundername: Research on design method of efficient microwave wireless energy transfer antenna array for space power stations grantid: 2023-GHZD-35 – fundername: Department of Science and Technology of Shaanxi Province under the Natural Science Basic Research Program – fundername: Electromechanical coupling theory and design method for uncertain factors of electronic equipment grantid: 2022-JC-33
GroupedDBID	-~X 0R~ 29I 4.4 5GY 5VS 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACGFO ACIWK AENEX AGQYO AHBIQ AKJIK AKQYR ALMA_UNASSIGNED_HOLDINGS ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 EBS HZ~ IFIPE IPLJI JAVBF LAI M43 O9- OCL P2P RIA RIE RNS AAYXX AETIX AGSQL AIBXA CITATION EJD 7SP 8FD L7M
ID	FETCH-LOGICAL-c294t-557a537ac230cdd61de6cf1c942e78fd9c7347058e21b5d9c25db0612d4fc68a3
IEDL.DBID	RIE
ISSN	1536-1225
IngestDate	Mon Jun 30 08:23:11 EDT 2025 Thu Apr 24 23:04:35 EDT 2025 Wed Oct 01 01:41:15 EDT 2025 Mon Aug 04 05:48:55 EDT 2025
IsPeerReviewed	false
IsScholarly	true
Issue	11
Language	English
License	https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html https://doi.org/10.15223/policy-029 https://doi.org/10.15223/policy-037
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c294t-557a537ac230cdd61de6cf1c942e78fd9c7347058e21b5d9c25db0612d4fc68a3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ORCID	0000-0001-5970-5679 0000-0001-5746-1797 0000-0003-4522-6903 0000-0002-3118-5592 0000-0001-7243-6717
PQID	2884893143
PQPubID	75732
PageCount	5
ParticipantIDs	proquest_journals_2884893143 ieee_primary_10171349 crossref_citationtrail_10_1109_LAWP_2023_3291428 crossref_primary_10_1109_LAWP_2023_3291428
ProviderPackageCode	CITATION AAYXX
PublicationCentury	2000
PublicationDate	2023-11-01
PublicationDateYYYYMMDD	2023-11-01
PublicationDate_xml	– month: 11 year: 2023 text: 2023-11-01 day: 01
PublicationDecade	2020
PublicationPlace	New York
PublicationPlace_xml	– name: New York
PublicationTitle	IEEE antennas and wireless propagation letters
PublicationTitleAbbrev	LAWP
PublicationYear	2023
Publisher	IEEE The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml	– name: IEEE – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References	ref13 ref12 ref15 ref14 bertsekas (ref25) 1996 ref11 ref10 ref2 ref17 ref16 ref19 ref18 mailloux (ref1) 2005 (ref26) 2019 ref24 ref23 ref20 ref22 ref21 ref7 moore (ref9) 1995 lee (ref8) 2005; 53 ref3 ref6 kim (ref5) 1996; 44 balanis (ref4) 2003
References_xml	– year: 1995 ident: ref9 publication-title: Method and Application of Interval Analysis – year: 2003 ident: ref4 publication-title: Antenna Theory and Design – ident: ref6 doi: 10.1109/ACCESS.2021.3055228 – ident: ref18 doi: 10.1109/TAP.2014.2342758 – start-page: 306 year: 2005 ident: ref1 publication-title: Phased Array Antenna – volume: 53 start-page: 1325 year: 2005 ident: ref8 article-title: Decision of error tolerance in array element by the Monte Carlo method publication-title: IEEE Trans Antennas Propag doi: 10.1109/TAP.2005.844444 – ident: ref23 doi: 10.1049/iet-map.2013.0203 – ident: ref3 doi: 10.1109/TAP.2022.3142333 – ident: ref17 doi: 10.1049/iet-map.2015.0837 – ident: ref20 doi: 10.1109/TAP.2012.2233453 – ident: ref11 doi: 10.1109/LAWP.2013.2261912 – ident: ref19 doi: 10.1109/TAP.1975.1141043 – ident: ref13 doi: 10.1109/TAP.2017.2754458 – ident: ref2 doi: 10.1109/LAWP.2022.3179404 – ident: ref21 doi: 10.1049/el:19850589 – ident: ref22 doi: 10.1049/ip-map:20040175 – year: 2019 ident: ref26 article-title: ANSYS Electromagnetics Suite-HFSS – ident: ref10 doi: 10.1109/TAP.2013.2276927 – ident: ref12 doi: 10.3390/s16060791 – ident: ref7 doi: 10.1109/TAP.2013.2259455 – ident: ref15 doi: 10.3390/s22249828 – ident: ref24 doi: 10.1109/TAP.2014.2318071 – volume: 44 start-page: 996 year: 1996 ident: ref5 article-title: Computation of the average power pattern of a reflector antenna with random surface errors and misalignment errors publication-title: IEEE Trans Antennas Propag doi: 10.1109/8.504307 – ident: ref14 doi: 10.1109/TAP.2016.2627548 – year: 1996 ident: ref25 publication-title: Constrained Optimization and Lagrange Multiplier Methods – ident: ref16 doi: 10.1109/TAP.2017.2670319
SSID	ssj0017653
Score	2.5319846
Snippet	A method for the optimal synthesis of linear phased arrays when calibration errors and mutual coupling are present is proposed. Starting from the knowledge of...
SourceID	proquest crossref ieee
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	1
SubjectTerms	Antenna arrays cali- bration errors Calibration circular interval analysis convex programming Convexity Linear antenna arrays Lower bounds Monte Carlo methods Mutual coupling mutual coupling errors Optimization Optimized production technology Phased array Phased arrays Reliability analysis Robustness (mathematics) Sidelobes Synthesis tolerance analysis Tolerances Upper bounds
Title	Interval-Bounded Optimal Power Pattern Synthesis of Array Antenna Excitations Robust to Mutual Coupling
URI	https://ieeexplore.ieee.org/document/10171349 https://www.proquest.com/docview/2884893143
Volume	22
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 1548-5757 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0017653 issn: 1536-1225 databaseCode: RIE dateStart: 20020101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE
link	http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1JS8QwFA46Jz24i-NGDp6E1i5J2hzHQRFxGVzQW8lWEbWVaQvqrzcv7YgLircW8kLge0lekve-D6Gd3KJMcqI9FQvqkVApjytDPB3n9rzFZS5dEs3pGTu6Jse39LYrVne1MMYYl3xmfPh0b_m6VA1cle2B-wCd3jSaTlLWFmt9PBkkzFFO2hkMwjIR7Z4ww4DvnQxuRj7ohPtxxIFi7Msm5FRVfizFbn85nEdnk5G1aSUPflNLX719I23899AX0FwXaeJB6xqLaMoUS2j2E__gMrpz94HW17x9UFcyGp_bFeTJWo1APA2PHPlmgS9fCxsnVvcVLnPb4Vi84gGkvhcCH7yojuW7whelbKoa1yU-baAsBQ_LBgp-71bQ9eHB1fDI65QXPBVxUnuUJoLGiVD2gKK0ZqE2TOWh4iQySZprrpKYJAFNTRRKan8jqiUES5rkiqUiXkW9oizMGsKMM6ljIQJBbbAQapFSIYmJWSKFoEb1UTCBIpsMGNQxHjN3PAl4BuhlgF7WoddHux8mzy0nx1-NVwCNTw1bIPpocwJ41k3bKovSFMh4bAy5_ovZBpqB3ttqxE3Uq8eN2bJhSS23nTu-A2g23zQ
linkProvider	IEEE
linkToHtml	http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT9wwEB6V7QE4lFJA3RaKDz0hJeRhJ_Fxi0BLu7td8VC5RX4FVS1JRRKp219fj5NFlArELZHsxNI3tseeme8D-FhYlGlBtadiwTwaKuVxZain48Ket7gspEuimc6S8SX9fMWu-mJ1VwtjjHHJZ8bHRxfL15Vq8arsEM0H6fRW4CWjlLKuXOsuaJAmjnTSzmGUlolYH8QMA344GX2b-6gU7scRR5Kxf7Yhp6vy32LsdpiTDZgtx9Yllvzw20b66s8D2sZnD_41vOp9TTLqjGMTXpjyDazfYyDcgmt3I2itzfuE-kpGk692DbmxveYon0bmjn6zJOeL0nqK9feaVIX94K1YkBEmv5eCHP9WPc93Tc4q2dYNaSoybbEwhRxVLZb8Xm_D5cnxxdHY67UXPBVx2niMpYLFqVD2iKK0TkJtElWEitPIpFmhuUpjmgYsM1EomX2NmJboLmlaqCQT8Q4Myqo0b4EkPJE6FiIQzLoLoRYZE5KaOEmlEMyoIQRLKPLlgFEf42fuDigBzxG9HNHLe_SGcHDX5VfHyvFU421E417DDogh7C4Bz_uJW-dRliEdj_Ui3z3SbR9WxxfTST45nX15D2v4p642cRcGzW1r9qyT0sgPzjT_Aj-s4oE
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Interval-Bounded+Optimal+Power+Pattern+Synthesis+of+Array+Antenna+Excitations+Robust+to+Mutual+Coupling&rft.jtitle=IEEE+antennas+and+wireless+propagation+letters&rft.au=Ding%2C+G.&rft.au=Anselmi%2C+N.&rft.au=Xu%2C+W.&rft.au=Li%2C+P.&rft.date=2023-11-01&rft.pub=IEEE&rft.issn=1536-1225&rft.spage=1&rft.epage=5&rft_id=info:doi/10.1109%2FLAWP.2023.3291428&rft.externalDocID=10171349
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1536-1225&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1536-1225&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1536-1225&client=summon