Optimal Directivity Synthesis of an Arbitrary Array Subject to Sidelobe and Cross-Polarization Constraints

YANG Jing; LIU Yan-hui; BAI Jing-jing; LIU Qing Huo; NIE Zai-ping

doi:10.3969/j.issn.0372-2112.2017.03.031

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Optimal Directivity Synthesis of an Arbitrary Array Subject to Sidelobe and Cross-Polarization Constraints

更新时间：2025-07-16

- Optimal Directivity Synthesis of an Arbitrary Array Subject to Sidelobe and Cross-Polarization Constraints
- Acta Electronica Sinica Vol. 45, Issue 3, Pages: 712-718(2017)
- 作者机构：
  
  1. 厦门大学电子科学系,福建,厦门,361005
  2. 杜克大学电气与计算机工程系, 北卡罗来纳达勒姆,27708
  3. 电子科技大学电子工程学院,四川,成都,610054
  4. 厦门大学电子科学系,福建,厦门,361005
  5. 杜克大学电气与计算机工程系北卡罗来纳达勒姆,27708
  6. 电子科技大学电子工程学院,四川,成都,610054
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61301009, No.41390453, No.61231001)
- DOI：10.3969/j.issn.0372-2112.2017.03.031
  CLC： TN820
- Published：2017
- 稿件说明：
移动端阅览
YANG Jing, LIU Yan-hui, BAI Jing-jing, et al. Optimal Directivity Synthesis of an Arbitrary Array Subject to Sidelobe and Cross-Polarization Constraints[J]. Acta Electronica Sinica, 2017, 45(3): 712-718.
DOI：

YANG Jing, LIU Yan-hui, BAI Jing-jing, et al. Optimal Directivity Synthesis of an Arbitrary Array Subject to Sidelobe and Cross-Polarization Constraints[J]. Acta Electronica Sinica, 2017, 45(3): 712-718. DOI： 10.3969/j.issn.0372-2112.2017.03.031.

摘要

本文根据给定的期望极化方向，定义了扫描波束的期望主极化和交叉极化方向，并进一步给出了主极化方向性系数的定义，它可以更为准确的表征天线集中辐射主极化分量的程度.在没有副瓣约束和交叉极化约束的条件下，给出了任意阵列主极化方向性系数最优解的解析表达式.并且，在含副瓣约束、零陷约束以及交叉极化约束的条件下，我们发展了一种基于凸优化的高效数值综合方法，实现多约束条件下的主极化方向性系数的优化.数值阵列综合结果表明了本文所提出的最优主极化方向性系数解析解的正确性，以及这种可以综合考虑副瓣约束、零陷约束和交叉极化约束的数值方向性优化方法的有效性.

Abstract

Definitions of the desired co-polarization and cross-polarization directions are given for a scanned beampattern according to a desired polarization direction.Furthermore

the co-polarization directivity is defined to more accurately represents the degree of the concentration of co-polarization field over the total radiated power.With this definition

the co-polarization directivity can be optimized.Its analytical expression can be derived when no more pattern constraints exist.In more general cases in which the constraints on the sidelobe level

nulling points and cross-polarization level exist

an efficient numerical algorithm based on convex optimization is proposed.Some numerical synthesis experiments are conducted

and the results show the effectiveness and robustness of the proposed synthesis techniques.

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