基于ADMM改进的低截获FDA-MIMO雷达发射波束设计

巩朋成; 吴云韬

doi:10.11959/j.issn.1000-436x.2022065

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基于ADMM改进的低截获FDA-MIMO雷达发射波束设计

学术论文 | 更新时间：2024-06-05

- 基于ADMM改进的低截获FDA-MIMO雷达发射波束设计
- Improved transmit beamforming design based on ADMM for low probability of intercept of FDA-MIMO radar
- 通信学报 2022年43卷第4期页码：133-142
- 作者机构：
  
  1. 武汉工程大学计算机科学与工程学院，湖北武汉 430205
  2. 智能机器人湖北省重点实验室，湖北武汉 430205
- 作者简介：
  
  [ "巩朋成（1982- ），男，甘肃甘谷人，博士，武汉工程大学副教授、硕士生导师，主要研究方向为频率分集阵列雷达、MIMO雷达信号处理" ]
  [ "吴云韬（1973- ），男，湖北利川人，博士，武汉工程大学教授、博士生导师，主要研究方向为阵列信号处理" ]
- 基金信息：
  
  国家自然科学基金资助项目(62071172);国家自然科学基金资助项目(61771353)
- DOI：10.11959/j.issn.1000-436x.2022065
  中图分类号： TN958
- 网络出版日期：2022-04，
  
  纸质出版日期：2022-04-25
- 稿件说明：
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巩朋成, 吴云韬. 基于ADMM改进的低截获FDA-MIMO雷达发射波束设计[J]. 通信学报, 2022,43(4):133-142.

Pengcheng GONG, Yuntao WU. Improved transmit beamforming design based on ADMM for low probability of intercept of FDA-MIMO radar[J]. Journal on communications, 2022, 43(4): 133-142.
巩朋成, 吴云韬. 基于ADMM改进的低截获FDA-MIMO雷达发射波束设计[J]. 通信学报, 2022,43(4):133-142. DOI： 10.11959/j.issn.1000-436x.2022065.

Pengcheng GONG, Yuntao WU. Improved transmit beamforming design based on ADMM for low probability of intercept of FDA-MIMO radar[J]. Journal on communications, 2022, 43(4): 133-142. DOI： 10.11959/j.issn.1000-436x.2022065.

摘要

针对信号依赖性杂波与目标位于同一方向上的低截获问题，结合交替方向乘子法（ADMM），提出了一种改进的频控阵MIMO雷达发射波束设计方法。该方法在保证每个天线上发射能量恒定和信杂噪比限制下，最小化目标区域（距离-方位）的能量辐射。首先，利用广义瑞利熵获得接收滤波器；然后，为了解决分式规划不等式约束的二次规划问题，利用辅助变量，并结合ADMM通过并行处理获得发射波束的优化解；最后，进一步研究了收敛性和计算复杂度。仿真显示，与半正定规划方法相比，所提方法能有效控制发射功率恒定，且很好地在目标处能量聚焦；另外，所提方法在杂波和干扰处形成了-50 dB以上的零陷，有效抑制了杂波和干扰信号。

Abstract

Considering the low probability of intercept problem that the signal-dependent interference and the target were located in the same angle

an improved transmit beamforming design based on the alternating direction method of multipliers (ADMM) was proposed for multiple-input multiple-output with frequency diverse array radar.The transmit energy was minimized at the target under constraints of the energy at each transmitter and signal clutter-plus-noise ratio requirement.Subsequently

a cyclic algorithm was developed to tackle the non-convex design problem.Firstly

the optimal receive filter was obtained by generalized Rayleigh quotient.And then the transmit beamforming was optimized by employing auxiliary variables and ADMM to solve quadratic programming problem with fractional inequality constraint.Moreover

both the convergence and computational complexity of the proposed algorithm were discussed.Simulation results show that

compared with the semi-denite programming method

the proposed method not only attains the given antenna power

but also achieves the better mainlobe focusing performance at the target.Furthermore

the null levels at the clutter locations and the jamming directions obtained by the proposed method are -50 dB above.

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references

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