FDA-MIMO雷达发射波形与接收滤波器鲁棒联合优化设计

doi:10.12305/j.issn.1001-506X.2025.11.11

系统工程与电子技术 ›› 2025, Vol. 47 ›› Issue (11): 3626-3634.doi: 10.12305/j.issn.1001-506X.2025.11.11

• 传感器与信号处理 • 上一篇

FDA-MIMO雷达发射波形与接收滤波器鲁棒联合优化设计

陈沁娴¹(), 黄超¹(), 周青松¹^,*(), 李志汇¹(), 师俊朋¹(), 王静²()

1. 国防科技大学电子对抗学院，安徽合肥 230001
2. 北京特种工程设计研究院，北京 100028

收稿日期:2025-04-01 接受日期:2025-07-01 出版日期:2025-11-25 发布日期:2025-12-08
通讯作者: 周青松 E-mail:chenqinxian.2018@ndut.edu.cn;huangchao17@nudt.edu.cn;zhongqingsong17@nudt.edu.cn;lizhihui20@nudt.edu.cn;15667081720@163.com;13683310494@163.com
作者简介:陈沁娴（2001—），女，博士研究生，主要研究方向为雷达波形设计、信号处理
黄　超（1991—），男，讲师，博士，主要研究方向为雷通一体化波形设计、信号处理
李志汇（1991—），男，副教授，博士，主要研究方向为信号处理、雷达对抗智能博弈
师俊朋（1988—），男，教授，博士，主要研究方向为多输入多输出雷达信号处理
王　静（1972—），女，正高级工程师，博士，主要研究方向为信号处理
基金资助:
国家自然科学基金（62301581）；中国博士后科学基金面上项目（2023M734313）资助课题

Robust joint optimization design of transmit waveform and receive filter for FDA-MIMO radar

Qinxian CHEN¹(), Chao HUANG¹(), Qingsong ZHOU¹^,*(), Zhihui LI¹(), Junpeng SHI¹(), Jing WANG²()

1. College of Electronic Engineering，National University of Defense Technology，Hefei 230001，China
2. Beijing Special Engineering and Design Institute，Beijing 100028，China

Received:2025-04-01 Accepted:2025-07-01 Online:2025-11-25 Published:2025-12-08
Contact: Qingsong ZHOU E-mail:chenqinxian.2018@ndut.edu.cn;huangchao17@nudt.edu.cn;zhongqingsong17@nudt.edu.cn;lizhihui20@nudt.edu.cn;15667081720@163.com;13683310494@163.com

摘要/Abstract

摘要：

为提高复杂电磁环境下雷达系统的适应性，提出一种针对目标参数不确定性的发射波形与接收滤波器联合优化方法。通过建立以最坏情况接收信杂噪比（signal-to-clutter-plus-noise ratio，SCNR）为准则的鲁棒优化模型，引入波形模量约束与滤波器能量约束构建非凸二次分式规划问题。设计基于交替方向乘子法（alternating direction method of multipliers，ADMM）和极大?极小（majorization-minimization，MM）的混合优化算法，通过交替迭代策略实现发射波形与接收滤波器的联合求解。仿真实验结果表明，与其他算法相比，所提方法在鲁棒探测性能上具有一定的优势，验证了所提算法的收敛性和有效性。

关键词: 频率分集阵列?多输入多输出雷达, 鲁棒收发联合设计, 信杂噪比, 交替方向乘子法

Abstract:

To improve the adaptability of radar systems in complex electromagnetic environments, a joint optimization method for transmit waveform and receive filter with target parameter uncertainties is proposed. A robust optimization model is established using the worst-case received signal-to-clutter-plus-noise ratio （SCNR） as the criterion. Waveform modulus constraint and filter energy constraint are incorporated to construct a non-convex quadratic fractional programming problem. A hybrid optimization algorithm is designed based on the alternating direction method of multipliers （ADMM） and majorization-minimization （MM）. This algorithm achieves joint solutions for transmit waveform and receive filter through an alternating iterative strategy. Simulation experiment results demonstrate that compared with other algorithms, the method have advantages in robust detection performance, which verify the convergence of the proposed algorithm.

Key words: frequency diverse array-multiple input multiple output （FDA-MIMO） radar, robust transceiver joint design, signal-to-clutter-plus-noise ratio （SCNR）, alternating direction method of multipliers （ADMM）

中图分类号:

TN 972

陈沁娴, 黄超, 周青松, 李志汇, 师俊朋, 王静. FDA-MIMO雷达发射波形与接收滤波器鲁棒联合优化设计[J]. 系统工程与电子技术, 2025, 47(11): 3626-3634.

Qinxian CHEN, Chao HUANG, Qingsong ZHOU, Zhihui LI, Junpeng SHI, Jing WANG. Robust joint optimization design of transmit waveform and receive filter for FDA-MIMO radar[J]. Systems Engineering and Electronics, 2025, 47(11): 3626-3634.

图/表 5

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表1

参考文献 31

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实验组	最小SCNR				最大SCNR				平均SCNR
实验组	算法I	算法II	算法III	算法IV	算法I	算法II	算法III	算法IV	算法I	算法II	算法III	算法IV
1	23.8204	−0.173	0.7193	20.7197	26.4515	34.8481	36.0063	34.5711	24.7378	16.6601	21.3249	32.6743
2	21.7594	−0.374	0.1162	−3.8239	24.9505	35.2517	34.8894	28.2129	22.8221	19.3030	19.5414	26.2097
3	20.2055	0.0212	0.0985	−3.8240	25.7365	35.1601	34.1956	28.2129	21.7116	18.0347	22.5245	26.1546

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FDA-MIMO雷达发射波形与接收滤波器鲁棒联合优化设计

Robust joint optimization design of transmit waveform and receive filter for FDA-MIMO radar

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