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Analysis of institutional authors

Corcoles, JuanAuthor

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July 31, 2025
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Convex Formulations for Antenna Array Pattern Optimization Through Linear, Quadratic, and Second-Order Cone Programming

Publicated to: Mathematics. 13 (11): 1796- - 2025-05-28 13(11), DOI: 10.3390/math13111796

Authors:

Vaquero, AF; Córcoles, J
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Affiliations

Univ Oviedo, Dept Math, Grp Signal Theory & Commun, Gijon 33203, Spain - Author
Univ Politecn Madrid, Escuela Tecn Super Ingn Telecomunicac, Informat Proc & Telecommun Ctr, Appl Electromagnet Grp, Madrid 28040, Spain - Author

Abstract

This work presents a comprehensive study on formulations for the radiation pattern design of antenna arrays through convex optimization techniques, with a focus on linear, quadratic, and second-order cone programming. The proposed approaches heavily rely on the construction of Hermitian forms to systematically build convex optimization problems for synthesizing desired beam patterns while including practical constraints such as sidelobe levels (SLLs), maximum directivity, and null placement. By formulating the radiation pattern synthesis problem through a convex formulation, global optimality and computational efficiency are ensured. The paper introduces the mathematical foundations of the proposed methodologies, detailing the structure and benefits of each convex optimization model. Numerical examples demonstrate the effectiveness of the proposed methodologies in achieving high-performance radiation patterns for circular and planar arrays. The results highlight trade-offs between formulation complexity and pattern performance across different optimization models, providing valuable insights for antenna array pattern synthesis. Overall, this work underscores the potential of convex optimization in antenna array pattern synthesis methodologies.
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Keywords

78-1Array pattern optimizationConvex optimizationLinear programmingQuadratic programmingSecond-order cone programming

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2025, it was in position 30/492, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics. Notably, the journal is positioned above the 90th percentile.

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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-25:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

    It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

    • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
    • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/91549/

    As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

    • Views: 37
    • Downloads: 124
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    Leadership analysis of institutional authors

    There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (CORCOLES ORTEGA, JUAN).

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    Awards linked to the item

    This research was supported by Grant TED2021-130650B-C21 (ANT4CLIM), Grant PID2023-146246OB-C31 (ANT4IT), and Grant PID2023-146246OB-C32 (ANT4IT) funded by MICIU/AEI/10.13039/501100011033 (Agencia Estatal de Investigacion), by UE (European Union) "NextGenerationEU"/PRTR, and by FEDER/UE.
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