非理想检测下面向异步多目标跟踪的异构多雷达网络功率时间联合优化算法

时晨光 唐志诚 丁琳涛 周建江

时晨光, 唐志诚, 丁琳涛, 等. 非理想检测下面向异步多目标跟踪的异构多雷达网络功率时间联合优化算法[J]. 雷达学报, 2023, 12(3): 563–575. doi: 10.12000/JR23044
引用本文: 时晨光, 唐志诚, 丁琳涛, 等. 非理想检测下面向异步多目标跟踪的异构多雷达网络功率时间联合优化算法[J]. 雷达学报, 2023, 12(3): 563–575. doi: 10.12000/JR23044
SHI Chenguang, TANG Zhicheng, DING Lintao, et al. Joint optimization of transmit power and dwell time for asynchronous multi-target tracking in heterogeneous multiple radar networks with imperfect detection[J]. Journal of Radars, 2023, 12(3): 563–575. doi: 10.12000/JR23044
Citation: SHI Chenguang, TANG Zhicheng, DING Lintao, et al. Joint optimization of transmit power and dwell time for asynchronous multi-target tracking in heterogeneous multiple radar networks with imperfect detection[J]. Journal of Radars, 2023, 12(3): 563–575. doi: 10.12000/JR23044

非理想检测下面向异步多目标跟踪的异构多雷达网络功率时间联合优化算法

doi: 10.12000/JR23044
基金项目: 国家自然科学基金(62271247, 61801212),航空科学基金(20200020052005, 20200020052002),南京航空航天大学前瞻布局科研专项资金
详细信息
    作者简介:

    时晨光,副教授,主要研究方向为飞行器射频隐身技术、雷达组网资源管理、多平台传感器协同等

    唐志诚,硕士生,主要研究方向为飞行器射频隐身技术

    丁琳涛,博士生,主要研究方向为飞行器射频隐身技术

    周建江,教授,主要研究方向为飞行器射频隐身技术、雷达目标特性分析、航空电子信息技术等

    通讯作者:

    时晨光 scg_space@163.com

  • 责任主编:易伟 Corresponding Editor: YI Wei
  • 中图分类号: TN957

Joint Optimization of Transmit Power and Dwell Time for Asynchronous Multi-target Tracking in Heterogeneous Multiple Radar Networks with Imperfect Detection

Funds: The National Natural Science Foundation of China (62271247, 61801212), The Aerospace Science Foundation of China (20200020052005, 20200020052002), The Fund of Prospective Layout of Scientific Research for NUAA (Nanjing University of Aeronautics and Astronautics)
More Information
  • 摘要: 该文针对异步多目标跟踪场景,研究了非理想检测下的异构多雷达网络功率时间联合优化问题。首先,将各融合采样间隔内得到的来自不同雷达节点的所有异步量测信息融合为复合量测信息,结合该复合量测信息推导了非理想检测下包含雷达节点选择、辐射功率和驻留时间等参数的异步目标跟踪误差贝叶斯克拉美罗下界(BCRLB)解析表达式,并将其作为异步多目标跟踪精度的衡量指标。在此基础上,建立了非理想检测下面向异步多目标跟踪的异构多雷达网络功率时间联合优化模型,即以最小化异步多目标跟踪误差为优化目标,以满足给定的系统辐射资源限制为约束条件,对不同雷达网络中雷达节点的选择方式、辐射功率和驻留时间等发射参数进行自适应联合优化设计,从而提升异构多雷达网络的异步多目标跟踪精度。最后,针对上述优化问题,结合序列二次规划(SQP)算法和循环最小法,采用四步分解算法进行求解。仿真结果表明,与现有算法相比,所提算法能够有效提升异构多雷达网络的异步多目标跟踪精度。

     

  • 图  1  目标q在第k个融合采样间隔内的异步量测模型

    Figure  1.  Asynchronous measurement model of target q in the k-th fusion sampling interval

    图  2  异构多雷达网络分布与目标运动轨迹

    Figure  2.  Deployment of heterogeneous multiple radar networks and trajectories of moving targets

    图  3  目标1的雷达节点选择与功率时间优化结果

    Figure  3.  Radar node selection, power and dwell time optimization results of target 1

    图  4  目标2的雷达节点选择与功率时间优化结果

    Figure  4.  Radar node selection, power and dwell time optimization results of target 2

    图  5  不同检测概率下的各目标BCRLB

    Figure  5.  BCRLB of each target with different probabilities of detection

    图  6  各目标ARMSE对比结果

    Figure  6.  ARMSE comparison results of each target

    1  非理想检测下面向异步多目标跟踪的异构多雷达网络功率时间联合优化算法

    1.   Joint optimization of transmit power and dwell time for asynchronous multi-target tracking in heterogeneous multiple radar networks with imperfect detection

     步骤1 根据功率和时间初始矩阵分配给各雷达节点相应的辐射
         功率$ {\boldsymbol{\bar P}}_{{\text{t,}}k}^q $和驻留时间$ {\boldsymbol{\bar T}}_k^q $,松弛$ \mu _{n,m,k}^q $,采用SQP算法求
         解式(21),得到所有的雷达节点选择系数,降序排列后
         依次选取$ {L_{\max }} $个雷达节点;
     步骤2 将优化模型式(22)分解为两个子优化问题,采用SQP算
         法依次迭代求解式(23)和式(24),得到辐射功率和驻留
         时间优化分配结果$ {\boldsymbol{\hat P}}_{{\text{t,}}k}^q $和$ {\boldsymbol{\hat T}}_k^q $;
     步骤3 异构多雷达网络系统指定下一个目标进行相应的资源优
         化分配,重复步骤1和步骤2,直到照射所有目标;
     步骤4 利用循环最小法得到最优雷达节点选择和功率时间分配
         结果。
    下载: 导出CSV

    表  1  异构多雷达网络雷达节点发射参数设置

    Table  1.   Parameter settings of radar node in heterogeneous multiple radar networks

    参数数值参数数值
    ${T_{{\text{fusion}}}}$$6\;{\text{s} }$${ {\bar P_{\min } } }$$100\;{\text{W}}$
    ${ {\bar P_{ {} {\text{max} } } } }$$1000\;{\text{ W} }$$ {P_{{\text{PAR}}}} $$300\;{\text{W}}$
    $ {P_{{\text{MSR}}}} $$300\;{\text{W} }$${ {\bar T_{\min } } }$$0.003\;{\text{s}}$
    ${ {\bar T_{\max } } }$$0.03\;{\text{s} }$$ {T_{{\text{CMIMO}}}} $$0.006\;{\text{s}}$
    $ {T_{{\text{MSR}}}} $$0.006\;{\text{s}}$$ \beta _k^q $$1\;{\text{MHz}}$
    $ P_{{\text{total}}}^q $$1500\;{\text{W}}$$ T_{{\text{total}}}^q $$0.03\;{\text{s}}$
    下载: 导出CSV

    表  2  目标具体运动轨迹参数

    Table  2.   Specific trajectory parameters of targets

    目标编号初始位置($ {\text{km}} $)运动速度($ {{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {\text{s}}}} \right. } {\text{s}}} $)
    1$ \left( { - 10,42.5} \right) $$ \left( { - 125, - 340} \right) $
    2$ \left( {30, - 35} \right) $$ \left( {160,300} \right) $
    下载: 导出CSV

    表  3  各雷达节点的初始采样时间和采样间隔

    Table  3.   Initial sampling time and sampling interval of each radar node

    $ \left( {n,m} \right) $$t_{n,m,q}^{{\text{ini} } }$ (s)$ T_{n,m,q}^0 $ (s)
    (1,1)21
    (2,1)31
    (3,1)41
    (4,1)11
    (5,1)51
    (1,2)22
    (2,2)42
    (3,2)32
    (4,2)52
    (5,2)12
    (1,3)33
    (2,3)53
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-04-17
  • 修回日期:  2023-05-11
  • 网络出版日期:  2023-06-08
  • 刊出日期:  2023-06-28

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