Error-Aware Joint Position and Excitation Optimization for Shaped Beam Linear Array Synthesis.

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Title: Error-Aware Joint Position and Excitation Optimization for Shaped Beam Linear Array Synthesis.
Authors: Bui, Le Trong Phuoc1 phuocblt@epu.edu.vn
Source: Progress in Electromagnetics Research C. 2026, Vol. 168, p161-169. 9p.
Subjects: Linear antenna arrays, Constrained optimization, Beamforming, Optimization algorithms, Robust optimization, Convex programming
Abstract: This study addresses the synthesis of shaped beams for linear antenna arrays under dynamic range ratio constraints on excitation amplitudes. When hardware limitations restrict excitation freedom, conventional methods suffer significant sidelobe degradation. The proposed approach jointly optimizes the element positions and excitations through iterative second-order cone programming. A distinguishing feature is the error-aware constraint formulation, which incorporates linearization error bounds, ensuring actual pattern compliance with the beam mask at each iteration. Adaptive trust-region control based on actual-to-predicted improvement ratios ensures robust convergence. Numerical experiments with flat-top and cosecant-squared beams demonstrated 7-12 dB sidelobe improvement over excitation-only methods under strict amplitude constraints. Compared with particle swarm optimization, the proposed method achieves superior sidelobe suppression while being orders of magnitude faster. [ABSTRACT FROM AUTHOR]
Copyright of Progress in Electromagnetics Research C is the property of Electromagnetics Academy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Error-Aware Joint Position and Excitation Optimization for Shaped Beam Linear Array Synthesis.
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  Data: <searchLink fieldCode="AR" term="%22Bui%2C+Le+Trong+Phuoc%22">Bui, Le Trong Phuoc</searchLink><relatesTo>1</relatesTo><i> phuocblt@epu.edu.vn</i>
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  Data: <searchLink fieldCode="JN" term="%22Progress+in+Electromagnetics+Research+C%22">Progress in Electromagnetics Research C</searchLink>. 2026, Vol. 168, p161-169. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Linear+antenna+arrays%22">Linear antenna arrays</searchLink><br /><searchLink fieldCode="DE" term="%22Constrained+optimization%22">Constrained optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Beamforming%22">Beamforming</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+optimization%22">Robust optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+programming%22">Convex programming</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study addresses the synthesis of shaped beams for linear antenna arrays under dynamic range ratio constraints on excitation amplitudes. When hardware limitations restrict excitation freedom, conventional methods suffer significant sidelobe degradation. The proposed approach jointly optimizes the element positions and excitations through iterative second-order cone programming. A distinguishing feature is the error-aware constraint formulation, which incorporates linearization error bounds, ensuring actual pattern compliance with the beam mask at each iteration. Adaptive trust-region control based on actual-to-predicted improvement ratios ensures robust convergence. Numerical experiments with flat-top and cosecant-squared beams demonstrated 7-12 dB sidelobe improvement over excitation-only methods under strict amplitude constraints. Compared with particle swarm optimization, the proposed method achieves superior sidelobe suppression while being orders of magnitude faster. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Progress in Electromagnetics Research C is the property of Electromagnetics Academy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.2528/PIERC26021603
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 9
        StartPage: 161
    Subjects:
      – SubjectFull: Linear antenna arrays
        Type: general
      – SubjectFull: Constrained optimization
        Type: general
      – SubjectFull: Beamforming
        Type: general
      – SubjectFull: Optimization algorithms
        Type: general
      – SubjectFull: Robust optimization
        Type: general
      – SubjectFull: Convex programming
        Type: general
    Titles:
      – TitleFull: Error-Aware Joint Position and Excitation Optimization for Shaped Beam Linear Array Synthesis.
        Type: main
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            NameFull: Bui, Le Trong Phuoc
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          Dates:
            – D: 01
              M: 06
              Text: 2026
              Type: published
              Y: 2026
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              Value: 19378718
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            – Type: volume
              Value: 168
          Titles:
            – TitleFull: Progress in Electromagnetics Research C
              Type: main
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