电子学报 ›› 2021, Vol. 49 ›› Issue (7): 1370-1378.DOI: 10.12263/DZXB.20201280

• 学术论文 • 上一篇    下一篇

基于ADMM的低副瓣阵列区域聚焦照射

杨仲平, 杨书宁, 周青松, 张剑云   

  1. 国防科技大学电子对抗学院, 安徽 合肥 230031
  • 收稿日期:2020-11-16 修回日期:2021-03-05 出版日期:2021-07-25 发布日期:2021-08-11
  • 作者简介:杨仲平 男,1996年3月出生于辽宁开原. 现为国防科技大学电子对抗学院硕士研究生. 主要研究方向为阵列信号处理、凸优化理论. E‑mail:yangzhongping14@nudt.edu.cn
    杨书宁 男,1996年11月出生于重庆万州. 现为国防科技大学电子对抗学院硕士研究生. 主要研究方向为阵列信号处理、稀疏理论. E‑mail:yangshuning14@nudt.edu.cn
    周青松 男,1982年12月出生于安徽巢湖. 博士. 现为国防科技大学电子对抗学院副教授,研究生导师. 主要研究方向为凸优化理论、稀疏理论. E‑mail:zhouqingsong1207@gmail.com
    张剑云(通信作者) 男,1963年9月出生于浙江龙泉. 博士. 现为国防科技大学电子对抗学院教授,博士生导师. 主要研究方向为雷达及目标环境模拟、雷达信号处理. E‑mail:zjy921@sina.com
  • 基金资助:
    装备预先研究项目(315095109);国防科技大学校科研计划(ZK19?10)

Regional Focusing Irradiation of Low Sidelobe Array Based on ADMM

Zhong-ping YANG, Shu-ning YANG, Qing-song ZHOU, Jian-yun ZHANG   

  1. College of Electronic Engineering,National University of Defense Technology,Hefei,Anhui 230031,China
  • Received:2020-11-16 Revised:2021-03-05 Online:2021-07-25 Published:2021-08-11

摘要:

区域聚焦照射(regional focusing irradiation)能将信号能量准确投送至指定区域,但阵列的超稀疏性使得副瓣区域能量较高,在实施精确电子战时极大增加了干扰系统遭受打击的风险,因此副瓣区域能量抑制问题必须加以解决.本文提出一种基于L范数评估栅瓣区域能量的方法,将其作为正则项引入区域聚焦照射模型以抑制副瓣区域最大能量,并建立了多目标优化模型.采用交替方向乘子(alternating direction method of multipliers)框架将原问题分解为两个子问题:对于恒模约束下二次规划子问题I,采用贪婪算法给出其闭式解;对于无约束L2?L范数的子问题II,将L范数做近似光滑化处理,并通过梯度下降法求解.交替求解两个子问题至收敛,以求解发射信号.仿真实验表明,本文模型在副瓣区域能量抑制上较基于L1范数的区域聚焦照射模型具有更优性能,且本文算法实用性更强.

关键词: 区域聚焦照射, 精确电子战, 超稀疏阵列, 副瓣区域, 栅瓣区域, 交替方向乘子法

Abstract:

Regional focusing irradiation (RFI) can precisely bring the energy of the transmitted signals to the specific regions. However, the array ultra?sparsity results in high energy level in the sidelobe regions, which increases the risk of the jamming system being attacked in precision electronic warfare. Therefore, it is significant to alleviate the energy level in the sidelobe regions. We propose a method based on L?norm to evaluate the energy level in the grating lobe regions, and introduce it to the RFI model to establish a multiobjective optimization model to alleviate the maximum energy in the sidelobe regions. The ADMM (Alternating Direction Method of Multipliers) framework is adopted to separate the origin problem into two subproblems. For subproblem?I, we adopt the greedy method to derive the closed?form solutions of the unimodular quadratic program. Regarding subproblem?II, which has L2?L terms without constraints, we smoothen the L term approximately, and employ the gradient descent method to solve it. The transmitted signal is obtained when the solutions of two subproblems are convergent. Numerical experiments reveal that the proposed model has better performance on alleviating the energy in sidelobe regions, and the adopted algorithm is more practical than the method based on L1?norm.

Key words: regional focusing irradiation (RFI), precision electronic warfare, ultra?sparse array, sidelobe region, grating lobe region, alternating direction method of multipliers (ADMM)

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