Volume 13 Issue 3
Jun.  2024
Turn off MathJax
Article Contents
LIAO Xiaorong, SUN Guohao, ZHONG Suchuan, et al. Joint optimization of radar and jammer space-time cooperative beamforming for a multitasking dynamic scene[J]. Journal of Radars, 2024, 13(3): 613–628. doi: 10.12000/JR23243
Citation: LIAO Xiaorong, SUN Guohao, ZHONG Suchuan, et al. Joint optimization of radar and jammer space-time cooperative beamforming for a multitasking dynamic scene[J]. Journal of Radars, 2024, 13(3): 613–628. doi: 10.12000/JR23243

Joint Optimization of Radar and Jammer Space-time Cooperative Beamforming for a Multitasking Dynamic Scene

DOI: 10.12000/JR23243
Funds:  The National Natural Science Foundation of China (62201371), Sichuan Provincial Natural Science Foundation (2022NSFSC1952), Municipal Government of Quzhou (2022D013)
More Information
  • Corresponding author: SUN Guohao, sghsjw2005@126.com
  • Received Date: 2023-12-25
  • Rev Recd Date: 2024-03-22
  • Available Online: 2024-03-29
  • Publish Date: 2024-04-23
  • The modern radar confrontation situation is complex and changeable, and inter-system combat has become a basic feature. The overall system performance affects the initiative on the battlefield and even the final victory or defeat. By optimizing the beam resources of radar and jammers in a system, the overall performance can be improved, and the effective low-intercept detection effect can be obtained in the spatial and temporal domains. However, joint optimization of cooperative beamforming in the spatial and temporal domains is a nonconvex problem with complex multiparameter coupling. In this paper, an optimization model is established for a multitasking dynamic scene in the spatial and temporal domains. Radar detection performance is the optimization goal, while the interference performance and energy limitation of jammers are the constraints. To solve the model, a joint design method of space-time cooperative beamforming based on iterative optimization was proposed; that is, iterative optimization of radar transmitting, receiving, and multiple jammers transmitting beamforming vectors was alternately optimized. To solve the Quadratically Constrained Quadratic Programs (QCQP) problem with indefinite matrices for multijammer collaborative optimization, this paper is based on the Feasible Point Pursuit Successive Convex Approximation (FPP-SCA) algorithm. In other words, on the basis of the SCA algorithm, algorithm feasibility is ensured through reasonable relaxation by introducing relaxation variables and a penalty term, which solves the difficulty of obtaining a feasible solution when a problem contains indefinite matrices. Simulation results show that under the constraint of certain jammer energy, the proposed method achieves the effect of multiple jammers interfering with each enemy platform in the spatial and temporal domains to cover our radar detection. This effect is achieved while ensuring high-performance radar detection of the target without interference. Compared with traditional algorithms, the collaborative interference based on the FPP-SCA algorithm exhibits a better performance in the dynamic scene.

     

  • loading
  • [1]
    赵国庆. 雷达对抗原理[M]. 2版. 西安: 西安电子科技大学出版社, 2012: 1–12.

    ZHAO Guoqing. Principle of Radar Countermeasure[M]. 2nd ed. Xi’an: Xidian University Press, 2012: 1–12.
    [2]
    易伟, 袁野, 刘光宏, 等. 多雷达协同探测技术研究进展: 认知跟踪与资源调度算法[J]. 雷达学报, 2023, 12(3): 471–499. doi: 10.12000/JR23036.

    YI Wei, YUAN Ye, LIU Guanghong, et al. Recent advances in multi-radar collaborative surveillance: Cognitive tracking and resource scheduling algorithms[J]. Journal of Radars, 2023, 12(3): 471–499. doi: 10.12000/JR23036.
    [3]
    王祥丽, 易伟, 孔令讲. 基于多目标跟踪的相控阵雷达波束和驻留时间联合分配方法[J]. 雷达学报, 2017, 6(6): 602–610. doi: 10.12000/JR17045.

    WANG Xiangli, YI Wei, and KONG Lingjiang. Joint beam selection and dwell time allocation for multi-target tracking in phased array radar system[J]. Journal of Radars, 2017, 6(6): 602–610. doi: 10.12000/JR17045.
    [4]
    HAO Guoqing, FENG Dejun, CHENG Biqin, et al. Impact analysis of passive multi-false targets to phased array radar resources[C]. 2023 International Conference on Microwave and Millimeter Wave Technology (ICMMT), Qingdao, China, 2023: 1–3. doi: 10.1109/ICMMT58241.2023.10277047.
    [5]
    TUNCER O and CIRPAN H A. Target priority based optimisation of radar resources for networked air defence systems[J]. IET Radar, Sonar & Navigation, 2022, 16(7): 1212–1224. doi: 10.1049/rsn2.12255.
    [6]
    SHI Chenguang, WANG Yijie, SALOUS S, et al. Joint transmit resource management and waveform selection strategy for target tracking in distributed phased array radar network[J]. IEEE Transactions on Aerospace and Electronic Systems, 2022, 58(4): 2762–2778. doi: 10.1109/TAES.2021.3138869.
    [7]
    宋晓程, 李陟, 任海伟, 等. 目标动态威胁度驱动的分布式组网相控阵雷达资源优化分配算法[J]. 雷达学报, 2023, 12(3): 629–641. doi: 10.12000/JR22240.

    SONG Xiaocheng, LI Zhi, REN Haiwei, et al. Threat-driven resource allocation algorithm for distributed netted phased array radars[J]. Journal of Radars, 2023, 12(3): 629–641. doi: 10.12000/JR22240.
    [8]
    时晨光, 董璟, 周建江. 频谱共存下面向多目标跟踪的组网雷达功率时间联合优化算法[J]. 雷达学报, 2023, 12(3): 590–601. doi: 10.12000/JR22146.

    SHI Chenguang, DONG Jing, and ZHOU Jianjiang. Joint transmit power and dwell time allocation for multitarget tracking in radar networks under spectral coexistence[J]. Journal of Radars, 2023, 12(3): 590–601. doi: 10.12000/JR22146.
    [9]
    YI Wei, YUAN Ye, HOSEINNEZHAD R, et al. Resource scheduling for distributed multi-target tracking in netted colocated MIMO radar systems[J]. IEEE Transactions on Signal Processing, 2020, 68: 1602–1617. doi: 10.1109/TSP.2020.2976587.
    [10]
    LI Zhengjie, XIE Junwei, ZHANG Haowei, et al. Joint beam selection and power allocation in cognitive collocated MIMO radar for potential guidance application under oppressive jamming[J]. Digital Signal Processing, 2022, 127: 103579. doi: 10.1016/j.dsp.2022.103579.
    [11]
    张大琳, 易伟, 孔令讲. 面向组网雷达干扰任务的多干扰机资源联合优化分配方法[J]. 雷达学报, 2021, 10(4): 595–606. doi: 10.12000/JR21071.

    ZHANG Dalin, YI Wei, and KONG Lingjiang. Optimal joint allocation of multijammer resources for jamming netted radar system[J]. Journal of Radars, 2021, 10(4): 595–606. doi: 10.12000/JR21071.
    [12]
    YAO Zekun, TANG Chuanbin, WANG Chao, et al. Cooperative jamming resource allocation model and algorithm for netted radar[J]. Electronics Letters, 2022, 58(22): 834–836. doi: 10.1049/ell2.12611.
    [13]
    WANG Yuedong, LIANG Yan, ZHANG Huixia, et al. Domain knowledge-assisted deep reinforcement learning power allocation for MIMO radar detection[J]. IEEE Sensors Journal, 2022, 22(23): 23117–23128. doi: 10.1109/JSEN.2022.3211606.
    [14]
    时晨光, 王奕杰, 代向荣, 等. 面向目标跟踪的机载组网雷达辐射参数与航迹规划联合优化算法[J]. 雷达学报, 2022, 11(5): 778–793. doi: 10.12000/JR22005.

    SHI Chenguang, WANG Yijie, DAI Xiangrong, et al. Joint transmit resources and trajectory planning for target tracking in airborne radar networks[J]. Journal of Radars, 2022, 11(5): 778–793. doi: 10.12000/JR22005.
    [15]
    DURST S, MARQUARDT P, and BRÜGGENWIRTH S. Quality of service based radar resource management for interference mitigation[C]. 2022 IEEE Topical Conference on Wireless Sensors and Sensor Networks (WiSNeT), Las Vegas, USA, 2022: 32–35. doi: 10.1109/WiSNet53095.2022.9721374.
    [16]
    YAN Junkun, JIAO Hao, PU Wenqiang, et al. Radar sensor network resource allocation for fused target tracking: A brief review[J]. Information Fusion, 2022, 86/87: 104–115. doi: 10.1016/j.inffus.2022.06.009.
    [17]
    GHADIAN M, MOFRAD R F, and ARAND B A. Robust time resource management in cognitive radar using adaptive waveform design[J]. IETE Journal of Research, 2023, 69(2): 1070–1080. doi: 10.1080/03772063.2020.1853615.
    [18]
    王跃东, 顾以静, 梁彦, 等. 伴随压制干扰与组网雷达功率分配的深度博弈研究[J]. 雷达学报, 2023, 12(3): 642–656. doi: 10.12000/JR23023.

    WANG Yuedong, GU Yijing, LIANG Yan, et al. Deep game of escorting suppressive jamming and networked radar power allocation[J]. Journal of Radars, 2023, 12(3): 642–656. doi: 10.12000/JR23023.
    [19]
    DELIGIANNIS A, LAMBOTHARAN S, and CHAMBERS J A. Game theoretic analysis for MIMO radars with multiple targets[J]. IEEE Transactions on Aerospace and Electronic Systems, 2016, 52(6): 2760–2774. doi: 10.1109/TAES.2016.150699.
    [20]
    DELIGIANNIS A, PANOUI A, LAMBOTHARAN S, et al. Game-theoretic power allocation and the Nash equilibrium analysis for a multistatic MIMO radar network[J]. IEEE Transactions on Signal Processing, 2017, 65(24): 6397–6408. doi: 10.1109/TSP.2017.2755591.
    [21]
    赫彬, 苏洪涛. 认知雷达抗干扰中的博弈论分析综述[J]. 电子与信息学报, 2021, 43(5): 1199–1211. doi: 10.11999/JEIT200843.

    HE Bin and SU Hongtao. A review of game theory analysis in cognitive radar anti-jamming[J]. Journal of Electronics & Information Technology, 2021, 43(5): 1199–1211. doi: 10.11999/JEIT200843.
    [22]
    MEHANNA O, HUANG Kejun, GOPALAKRISHNAN B, et al. Feasible point pursuit and successive approximation of non-convex QCQPs[J]. IEEE Signal Processing Letters, 2015, 22(7): 804–808. doi: 10.1109/LSP.2014.2370033.
    [23]
    任唯祎. 通信侦察信息在组网雷达对抗中的应用[D]. [硕士论文], 电子科技大学, 2021: 1. doi: 10.27005/d.cnki.gdzku.2021.002157.

    REN Weiyi. Application of communication reconnaissance information in radar network countermeasures[D]. [Master dissertation], University of Electronic Science and Technology of China, 2021: 1. doi: 10.27005/d.cnki.gdzku.2021.002157.
    [24]
    宋占福, 赵全习, 范成礼, 等. “信火一体”抗击航空兵编队突防策略分析[J]. 航空兵器, 2022, 29(4): 20–25. doi: 10.12132/ISSN.1673-5048.2021.0196.

    SONG Zhanfu, ZHAO Quanxi, FAN Chengli, et al. Analysis of information-firepower integration against air force formation penetration[J]. Aero Weaponry, 2022, 29(4): 20–25. doi: 10.12132/ISSN.1673-5048.2021.0196.
    [25]
    戚志刚, 惠新成, 张卫. 天基侦察信息在航母编队信息系统中的应用[J]. 指挥信息系统与技术, 2021, 12(4): 18–22. doi: 10.15908/j.cnki.cist.2021.04.003.

    QI Zhigang, HUI Xincheng, and ZHANG Wei. Application of space-based reconnaissance information in aircraft carrier formation information system[J]. Command Information System and Technology, 2021, 12(4): 18–22. doi: 10.15908/j.cnki.cist.2021.04.003.
    [26]
    张鹏程. 基于博弈的空中目标航迹预测及攻防对抗研究[D]. [硕士论文], 浙江大学, 2023: 1–45. doi: 10.27461/d.cnki.gzjdx.2023.000119.

    ZHANG Pengcheng. Research on game-based aerial target track prediction and confrontation[D]. [Master dissertation], Zhejiang University, 2023: 1–45. doi: 10.27461/d.cnki.gzjdx.2023.000119.
    [27]
    王硕, 吴楠, 黄洁, 等. 基于残差修正CNN-BiLSTM的空中目标航迹短期预测算法[J]. 指挥控制与仿真, 2024, 46(1): 55–63. doi: 10.3969/j.issn.1673-3819.2024.01.007.

    WANG Shuo, WU Nan, HUANG Jie, et al. Short-term prediction algorithm of air target track based on residual correction CNN-BiLSTM[J]. Command Control & Simulation, 2024, 46(1): 55–63. doi: 10.3969/j.issn.1673-3819.2024.01.007.
    [28]
    杨艳洲, 王佳雯, 张玮, 等. 国外天基信息系统装备及技术发展水平研究[J]. 现代信息科技, 2020, 4(6): 53–56, 60. doi: 10.19850/j.cnki.2096-4706.2020.06.019.

    YANG Yanzhou, WANG Jiawen, ZHANG Wei, et al. Research on the development level of space-based information system equipment and technology abroad[J]. Modern Information Technology, 2020, 4(6): 53–56, 60. doi: 10.19850/j.cnki.2096-4706.2020.06.019.
    [29]
    王帅, 黄富瑜, 李婷, 等. 陆战场红外侦察告警装备作战效能评估[J]. 激光与红外, 2019, 49(3): 341–348. doi: 10.3969/j.issn.1001-5078.2019.03.013.

    WANG Shuai, HUANG Fuyu, LI Ting, et al. Operational effectiveness evaluation of infrared reconnaissance & warning equipment in warfield[J]. Laser & Infrared, 2019, 49(3): 341–348. doi: 10.3969/j.issn.1001-5078.2019.03.013.
    [30]
    杨艺琼, 吴建新, 梁毅. 机载双基雷达波束域杂波抑制方法[J/OL]. 系统工程与电子技术, 1–11. https://kns.cnki.net/kcms/detail/detail.aspx?dbcode=CAPJ&dbname=CAPJ&filename=XTYD20230905001, 2023.

    YANG Yiqiong, WU Jianxin, and LIANG Yi. Airborne bistatic radar beam domain clutter suppression method[J/OL]. Systems Engineering and Electronics, 1–11. https://kns.cnki.net/kcms/detail/detail.aspx?dbcode=CAPJ&dbname=CAPJ&filename=XTYD20230905001, 2023.
    [31]
    董超. 多视角广义特征值最接近支持向量机[D]. [硕士论文], 华东师范大学, 2016: 6.

    DONG Chao. Multi-view generalized eigenvalue proximal support vector machines[D]. [Master dissertation], East China Normal University, 2016: 6.
    [32]
    王奇超, 文再文, 蓝光辉, 等. 优化算法的复杂度分析[J]. 中国科学: 数学, 2020, 50(9): 1271–1336. doi: 10.1360/N012018-00251.

    WANG Qichao, WEN Zaiwen, LAN Guanghui, et al. Complexity analysis for optimization methods[J]. Scientia Sinica Mathematica, 2020, 50(9): 1271–1336. doi: 10.1360/N012018-00251.
    [33]
    LUO Zhiquan, MA W K, SO A M C, et al. Semidefinite relaxation of quadratic optimization problems[J]. IEEE Signal Processing Magazine, 2010, 27(3): 20–34. doi: 10.1109/MSP.2010.936019.
    [34]
    RAZAVIYAYN M. Successive convex approximation: Analysis and applications[D]. [Ph.D. dissertation], University of Minnesota, 2014: 1–10.
    [35]
    FAN Tao, CUI Guolong, YU Xianxiang, et al. Joint design of intra-inter agile pulses and Doppler filter banks for Doppler ambiguous target[J]. IEEE Transactions on Signal Processing, 2024, 72: 867–882. doi: 10.1109/TSP.2024.3355768.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Article views(790) PDF downloads(142) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint