An Efficient Approach to Pattern Synthesis with Accurate Response Control for Arbitrary Arrays.

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Title: An Efficient Approach to Pattern Synthesis with Accurate Response Control for Arbitrary Arrays.
Authors: Wang, Mei1 (AUTHOR) m.wang@std.uestc.edu.cn, Zhang, Xiaojun1 (AUTHOR) sczhxj@uestc.edu.cn
Source: Circuits, Systems & Signal Processing. Apr2025, Vol. 44 Issue 4, p2737-2761. 25p.
Subjects: Antenna radiation patterns, Array processing, Signal processing, Computational complexity, Beamforming
Abstract: This paper presents two strategies for accurate response control for arbitrary arrays: Multi-Point Accurate Response Control (ARC-MP) and Single-Point Accurate Response Control (ARC-SP). By analyzing the characteristics of the optimal weight vector in adaptive beamforming, we demonstrate that it can be expressed as a linear combination of the original weight vector and its projections onto the interference steer vectors. The ARC-MP method formulates the accurate response control problem as an unconstrained optimization task, yielding a closed-form solution that establishes a theoretical foundation for pattern synthesis. In contrast, the ARC-SP method focuses on accurate response control at a single point, significantly simplifying the computational complexity. Both ARC-MP and ARC-SP exhibit substantial advantages over existing methods by eliminating the need to select parameters from a predefined set, thereby significantly reducing computational complexity. Furthermore, the paper introduces the proposed ARC-SP and ARC-MP algorithms for enabling pattern synthesis for arbitrary arrays. The efficacy of the proposed methods is validated through some various classic scenarios, which illustrate that the ARC-SP and ARC-MP algorithms can achieve pattern synthesis through accurate response control. The methods presented in this paper offer substantial contributions to antenna pattern synthesis and hold potential applications in diverse communication and radar systems. [ABSTRACT FROM AUTHOR]
Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature 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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  Data: An Efficient Approach to Pattern Synthesis with Accurate Response Control for Arbitrary Arrays.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Mei%22">Wang, Mei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> m.wang@std.uestc.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Xiaojun%22">Zhang, Xiaojun</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sczhxj@uestc.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Circuits%2C+Systems+%26+Signal+Processing%22">Circuits, Systems & Signal Processing</searchLink>. Apr2025, Vol. 44 Issue 4, p2737-2761. 25p.
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  Data: <searchLink fieldCode="DE" term="%22Antenna+radiation+patterns%22">Antenna radiation patterns</searchLink><br /><searchLink fieldCode="DE" term="%22Array+processing%22">Array processing</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+complexity%22">Computational complexity</searchLink><br /><searchLink fieldCode="DE" term="%22Beamforming%22">Beamforming</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: This paper presents two strategies for accurate response control for arbitrary arrays: Multi-Point Accurate Response Control (ARC-MP) and Single-Point Accurate Response Control (ARC-SP). By analyzing the characteristics of the optimal weight vector in adaptive beamforming, we demonstrate that it can be expressed as a linear combination of the original weight vector and its projections onto the interference steer vectors. The ARC-MP method formulates the accurate response control problem as an unconstrained optimization task, yielding a closed-form solution that establishes a theoretical foundation for pattern synthesis. In contrast, the ARC-SP method focuses on accurate response control at a single point, significantly simplifying the computational complexity. Both ARC-MP and ARC-SP exhibit substantial advantages over existing methods by eliminating the need to select parameters from a predefined set, thereby significantly reducing computational complexity. Furthermore, the paper introduces the proposed ARC-SP and ARC-MP algorithms for enabling pattern synthesis for arbitrary arrays. The efficacy of the proposed methods is validated through some various classic scenarios, which illustrate that the ARC-SP and ARC-MP algorithms can achieve pattern synthesis through accurate response control. The methods presented in this paper offer substantial contributions to antenna pattern synthesis and hold potential applications in diverse communication and radar systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature 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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      – Type: doi
        Value: 10.1007/s00034-024-02933-6
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      – Code: eng
        Text: English
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        PageCount: 25
        StartPage: 2737
    Subjects:
      – SubjectFull: Antenna radiation patterns
        Type: general
      – SubjectFull: Array processing
        Type: general
      – SubjectFull: Signal processing
        Type: general
      – SubjectFull: Computational complexity
        Type: general
      – SubjectFull: Beamforming
        Type: general
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      – TitleFull: An Efficient Approach to Pattern Synthesis with Accurate Response Control for Arbitrary Arrays.
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            NameFull: Wang, Mei
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            NameFull: Zhang, Xiaojun
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            – D: 01
              M: 04
              Text: Apr2025
              Type: published
              Y: 2025
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