基于外辐射源雷达系统的运动目标位置与速度解耦合估计方法
Decoupled Estimation Method for Position and Velocity of Moving Target Based on Passive Radar System
- 电子学报 2023年51卷第11期 页码：3011-3023
- 作者机构：
1.中国人民解放军战略支援部队信息工程大学信息系统工程学院,河南郑州 450001
2.国家数字交换系统工程技术研究中心,河南郑州 450002
- 作者简介：
[ "王鼎 男，1982年10月出生于安徽省芜湖市.现为中国人民解放军战略支援部队信息工程大学信息系统工程学院副教授、博士生导师.主要研究方向为无线信号定位、阵列信号处理. E-mail: wang_ding814@aliyun.com" ]
[ "尹洁昕（通讯作者） 女，1989年8月出生于河南省郑州市.现为中国人民解放军战略支援部队信息工程大学信息系统工程学院副教授、硕士生导师.主要研究方向为无线信号定位、阵列信号处理." ]
[ "王叶露 女，1990年7月出生于河南省安阳市.现为中国人民解放军战略支援部队信息工程大学研究生.主要研究方向为通信信号监测. E-mail: 416469463@qq.com" ]
[ "徐文艳 女，1983年3月出生于安徽省界首市.现为中国人民解放军战略支援部队信息工程大学信息系统工程学院讲师.主要研究方向为通信信号识别与定位. E-mail: 12551287@qq.com" ]
- 基金信息：国家自然科学基金(62171469;62071029);军委科技委高层次科技创新人才自主科研项目(a6102)
DOI：10.12263/DZXB.20230759
中图分类号： TN911.7收稿：2023-08-04，
修回：2023-10-27，
纸质出版：2023-11-25
- 稿件说明：
移动端阅览
王鼎,尹洁昕,王叶露等.基于外辐射源雷达系统的运动目标位置与速度解耦合估计方法[J].电子学报,2023,51(11):3011-3023.
WANG Ding,YIN Jie-xin,WANG Ye-lu,et al.Decoupled Estimation Method for Position and Velocity of Moving Target Based on Passive Radar System[J].ACTA ELECTRONICA SINICA,2023,51(11):3011-3023.
王鼎,尹洁昕,王叶露等.基于外辐射源雷达系统的运动目标位置与速度解耦合估计方法[J].电子学报,2023,51(11):3011-3023. DOI： 10.12263/DZXB.20230759.
WANG Ding,YIN Jie-xin,WANG Ye-lu,et al.Decoupled Estimation Method for Position and Velocity of Moving Target Based on Passive Radar System[J].ACTA ELECTRONICA SINICA,2023,51(11):3011-3023. DOI： 10.12263/DZXB.20230759.
摘要
针对位于地球表面的无线静默目标，本文提出了一种基于外辐射源雷达系统的运动目标定位新方法.与已有大多数定位方法不同，新方法考虑了地面运动目标位置向量与速度向量所需服从的二次等式约束，并且实现了对目标位置与速度的解耦合估计.文中首先将基于外辐射源雷达系统的非线性观测方程转化为伪线性观测方程，然后利用一阶误差分析方法推导该观测方程中的误差渐近统计特性，并进而构建含双重二次等式约束的目标位置与速度联合估计准则.针对此优化模型，文中提出了一种基于拉格朗日乘子法的目标位置与速度解耦合优化算法，其中仅需对目标位置向量进行迭代计算，而目标速度向量是以闭式解的形式给出，因此可减少迭代初始值的影响与局部收敛的风险.此外，文中还在双重二次等式约束条件下推导了基于外辐射源雷达系统的运动目标定位的克拉美罗界，定量刻画了等式约束所产生的性能增益，并结合一阶误差分析与拉格朗日乘子法证明了新方法的渐近统计有效性.仿真实验结果验证了所提定位方法的优势.
Abstract
In order to locate radio silent target on the Earth surface
a novel positioning method for moving target is proposed based on passive radar system. Unlike most existing positioning methods
this method takes into account the quadratic constraints that the target position vector and velocity vector need to satisfy
and can achieve decoupled estimation of the target position and velocity. Firstly
the nonlinear observation equations based on the passive radar system are transformed into pseudo-linear observation equations. Then
the asymptotic statistical properties of the errors in pseudo-linear equations are derived by applying the first-order error analysis. Subsequently
an optimization criterion is constructed for the joint estimation of the target position and velocity under the two quadratic equality constraints. For the purpose of obtaining the global optimal solution of the target position and velocity
a decoupled optimization algorithm is developed based on the Lagrange multiplier approach. This optimization algorithm requires only the iteration of the target position parameters
and the target velocity parameters can be obtained in a closed form
thus reducing the influence of initial values and the risk of local convergence. Furthermore
the Cramér-Rao bound (CRB) for moving target localization based on passive radar system is deduced under the two quadratic equality constraints
and the performance gain resulting from the equality constraints is quantified. The new estimator is also proved to be asymptotically statistically efficient by using the first-order error analysis as well as the Lagrange multiplier approach. Finally
simulation results verify the advantages of the proposed positioning method.
关键词
Keywords
references
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