一种低截获背景下的集中式MIMO雷达快速功率分配算法

李正杰 谢军伟 张浩为 温泉 刘斌

李正杰, 谢军伟, 张浩为, 等. 一种低截获背景下的集中式MIMO雷达快速功率分配算法[J]. 雷达学报, 2023, 12(3): 602–615. doi: 10.12000/JR22203
引用本文: 李正杰, 谢军伟, 张浩为, 等. 一种低截获背景下的集中式MIMO雷达快速功率分配算法[J]. 雷达学报, 2023, 12(3): 602–615. doi: 10.12000/JR22203
LI Zhengjie, XIE Junwei, ZHANG Haowei, et al. A fast power allocation algorithm in a collocated MIMO radar under low interception backgrounds[J]. Journal of Radars, 2023, 12(3): 602–615. doi: 10.12000/JR22203
Citation: LI Zhengjie, XIE Junwei, ZHANG Haowei, et al. A fast power allocation algorithm in a collocated MIMO radar under low interception backgrounds[J]. Journal of Radars, 2023, 12(3): 602–615. doi: 10.12000/JR22203

一种低截获背景下的集中式MIMO雷达快速功率分配算法

doi: 10.12000/JR22203
基金项目: 国家自然科学基金(62001506)
详细信息
    作者简介:

    李正杰,博士生,主要研究方向为MIMO雷达资源分配

    谢军伟,博士,教授,主要研究方向为新体制雷达、主动抗干扰

    张浩为,博士,讲师,主要研究方向为新体制雷达资源管理

    温 泉,硕士,主要研究方向为教育训练学

    刘 斌,博士,讲师,主要研究方向为电磁频谱管理

    通讯作者:

    张浩为 zhw_xhzf@163.com

  • 责任主编:时晨光 Corresponding Editor: SHI Chenguang
  • 中图分类号: TN972

A Fast Power Allocation Algorithm in a Collocated MIMO Radar under Low Interception Backgrounds

Funds: The National Natural Science Foundation of China (62001506)
More Information
  • 摘要: 针对集中式MIMO雷达同时跟踪多批机动目标场景,该文提出一种低截获背景下的快速功率分配算法。首先,将目标机动过程建模为自适应当前统计(ACS)模型,并采用粒子滤波对各目标状态进行估计。其次,对条件克拉默-拉奥下界(PC-CRLB)进行推导,并基于目标运动特性和电磁特性构建目标综合威胁度评估模型。随后,将目标跟踪误差评估指数和雷达未被截获概率的加权和作为优化目标,建立了关于发射功率的优化模型,利用目标函数单调递减性质,提出了一种基于序列松弛的求解算法进行模型求解。最后,通过仿真验证所提算法的有效性和时效性。结果表明,所提算法能够有效提高目标跟踪精度和雷达系统低截获性能,相比采用内点法求解运算速度提高近50%。

     

  • 图  1  集中式MIMO雷达同时多波束工作模式

    Figure  1.  Simultaneous multi-beam working mode of the collocated MIMO radar

    图  2  认知跟踪系统示意图

    Figure  2.  Schematic diagram of cognitive tracking system

    图  3  集中式MIMO雷达阵列模型

    Figure  3.  Collocated MIMO radar array model

    图  4  雷达与目标的空间位置关系

    Figure  4.  Spatial position relationship between radar and target

    图  5  各机动目标的加速度变化情况

    Figure  5.  Acceleration variation of each maneuvering target

    图  6  目标RCS起伏模型

    Figure  6.  Target RCS fluctuation model

    图  7  目标威胁权重模型

    Figure  7.  Task threat weight model

    图  8  $ {\ell _2} $模型中的任务重要性权值

    Figure  8.  Task importance weight in model $ {\ell _2} $

    图  9  $ {\ell _1} $模型下的目标跟踪轨迹

    Figure  9.  Target tracking trajectory in model $ {\ell _1} $

    图  10  $ {\ell _2} $模型下的目标跟踪轨迹

    Figure  10.  Target tracking trajectory in model $ {\ell _2} $

    图  11  各算法关于最差情况的PC-CRLB性能对比

    Figure  11.  PC-CRLB performance comparison of each algorithm on the worst case

    图  12  各算法关于最差情况的RMSE性能对比

    Figure  12.  RMSE performance comparison of each algorithm on the worst case

    图  13  各算法关于最大截获概率的性能对比

    Figure  13.  Performance comparison of each algorithm for maximum intercept probability

    图  14  $ {\ell _1} $模型中的雷达功率分配结果

    Figure  14.  Results of radar power allocation in model $ {\ell _1} $

    图  15  $ {\ell _2} $模型中的雷达功率分配结果

    Figure  15.  Results of radar power allocation in model $ {\ell _2} $

    图  16  各目标相对雷达的径向距离

    Figure  16.  Radial distance of each target relative to radar

    图  17  算法平均计算时间

    Figure  17.  Average calculation time of algorithm

    表  1  功率快速求解算法

    Table  1.   Fast power solving algorithm

     步骤1 应用式(30)计算$ {D_k} $;
     步骤2 定义${{\boldsymbol{Q}}_0}$为集合${\boldsymbol{Q}} = \{ 1,2,\cdots,Q\}$中所有满足不等式
     ${D_k} > {{\rm{fun}}_q}(\arg \min ({\bf{1} }_Q^{\text{T} }{ {\boldsymbol{P} }_k}))$元素的集合。若${{\boldsymbol{Q}}_0} \ne \varnothing$,则进入
     步骤3;否则,令${P_{k,q,{\text{opt} } } } = {\bar P_{\min } }$, ${ {\boldsymbol{Q} }_0} = { {\boldsymbol{Q} }_0} \cup \{ q\}$,
     ${\boldsymbol{Q}} = {\boldsymbol{Q}}\backslash \{ q\}$,并返回步骤1;
     步骤3 令对目标q进行功率分配结果的最优解为
     ${P_{k,q,{\text{opt} } } } = {\rm{fun}}_q^{ - 1}({D_k})$;
     步骤4 令最优解对应函数值为$ {D_{k,{\text{opt}}}} = {D_k} $。
    下载: 导出CSV

    表  2  仿真参数设置

    Table  2.   Simulation parameter setting

    参数取值参数取值
    $ {p_{{\text{fa}}}} $10–8$ {G_{\text{t}}} $30 dB
    $ {G_{\text{I}}} $6 dB$ {G_{{\text{IP}}}} $3 dB
    $ {\beta _{k,q}} $1 MHz$ {T_{k,q}} $1 ms
    $ \lambda $0.3 m$ \eta $45 m
    ${T_{\rm{s}}}$1 s$ {P_{{\text{total}}}} $5 kW
    $ {\bar P_{{\text{max}}}} $4 kW$ {\bar P_{\min }} $0.5 kW
    下载: 导出CSV

    表  3  初始时刻目标运动参数

    Table  3.   Initial target motion parameters

    目标编号位置(km)速度(m/s)加速度(m/s2)最大加速度(m/s2)
    1(9.6, 84.1)(–494.2, –1346.1)(–19.4, 20.7)80
    2(89.7, 24.4)(533.2, 468.5)(14.6, 0.9)50
    3(66.9, 72.4)(–257.1, 695.1)(9.6, 7.7)60
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-10-10
  • 修回日期:  2022-10-28
  • 网络出版日期:  2022-11-07
  • 刊出日期:  2023-06-28

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