Decoupled Estimation Method for Position and Velocity of Moving Target Based on Passive Radar System

WANG Ding; YIN Jie-xin; WANG Ye-lu; XU Wen-yan

doi:10.12263/DZXB.20230759

您当前的位置：

首页 >

文章列表页 >

Decoupled Estimation Method for Position and Velocity of Moving Target Based on Passive Radar System

PAPERS | 更新时间：2025-12-08

- Decoupled Estimation Method for Position and Velocity of Moving Target Based on Passive Radar System
- ACTA ELECTRONICA SINICA Vol. 51, Issue 11, Pages: 3011-3023(2023)
- 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：
- 基金信息：
  
  National Natural Science Foundation of China(62171469;62071029);Independent research project for high-level scientific and technological innovation talents of the Science and Technology Commission of the Military Commission(a6102)
- DOI：10.12263/DZXB.20230759
  CLC： TN911.7
- Received：04 August 2023，
  
  Revised：2023-10-27，
  
  Published：25 November 2023
- 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

JIANG H Z , ZHAO C , ZHAO Y J . Coherent integration algorithm for frequency-agile and PRF-jittering signals in passive localization [J ] . Chinese Journal of Electronics , 2021 , 30 ( 4 ): 781 - 792 .

ZHAO L J , SU C H , DAI Z Y , et al . Indoor device-free passive localization with DCNN for location-based services [J ] . The Journal of Supercomputing , 2020 , 76 ( 11 ): 8432 - 8449 .

ALAMU O , IYAOMOLERE B , ABDULRAHMAN A . An overview of massive MIMO localization techniques in wireless cellular networks: Recent advances and outlook [J ] . Ad Hoc Networks , 2021 , 111 ( 1 ): 102353 .

LU J X , LIU F F , SUN J Y , et al . Multi-target localization of MIMO radar with widely separated antennas on moving platforms based on expectation maximization algorithm [J ] . Remote Sensing , 2022 , 14 ( 7 ): 1670 .

LIANG J L , HUAN M S , DENG X B , et al . Optimal transmitter and receiver placement for localizing 2D interested-region target with constrained sensor regions [J ] . Signal Processing , 2021 , 183 ( 5 ): 108032 .

SHU K , YI J X , WAN X R , et al . A hybrid tracking algorithm for multistatic passive radar [J ] . IEEE Systems Journal , 2021 , 15 ( 2 ): 2024 - 2034 .

MA H , ANTONIOU M , PASTINA D , et al . Maritime moving target indication using passive GNSS-based bistatic radar [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2018 , 54 ( 1 ): 115 - 130 .

蒋铁珍 , 肖文书 , 李大圣 , 等 . 基于星载机会源的空间目标外辐射源雷达探测技术可行性研究 [J ] . 雷达学报 , 2014 , 3 ( 6 ): 711 - 719 .

JIANG T Z , XIAO W S , LI D S , et al . Feasibility study on passive-radar detection of space targets using spaceborne illuminators of opportunity [J ] . Journal of Radars , 2014 , 3 ( 6 ): 711 - 719 . (in Chinese)

STEIN S . Algorithms for ambiguity function processing [J ] . IEEE Transactions on Acoustics, Speech, and Signal Processing , 1981 , 29 ( 3 ): 588 - 599 .

王堃 , 吴嗣亮 , 田静 . 伽利略搜救信号关键参数估计的克拉美罗界 [J ] . 电子学报 , 2011 , 39 ( 12 ): 2761 - 2767 .

WANG K , WU S L , TIAN J . Cramer-Rao bounds of key parameters estimation for Galileo SAR signal [J ] . Acta Electronica Sinica , 2011 , 39 ( 12 ): 2761 - 2767 . (in Chinese)

SHU F , YANG S P , LU J H , et al . On impact of earth constraint on TDOA-based localization performance in passive multisatellite localization systems [J ] . IEEE Systems Journal , 2018 , 12 ( 4 ): 3861 - 3864 .

MASON J . Algebraic two-satellite TOA/FOA position solution on an ellipsoidal earth [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2004 , 40 ( 3 ): 1087 - 1092 .

王鼎 . 卫星位置误差条件下基于约束Taylor级数迭代的地面目标定位理论性能分析 [J ] . 中国科学: 信息科学 , 2014 , 44 ( 2 ): 231 - 253 .

WANG D . The geolocation performance analysis for the constrained Taylor-series iteration in the presence of satellite orbit perturbations [J ] . Scientia Sinica Informationis , 2014 , 44 ( 2 ): 231 - 253 . (in Chinese)

CAO Y L , LI P , LI J Z , et al . A new iterative algorithm for geolocating a known altitude target using TDOA and FDOA measurements in the presence of satellite location uncertainty [J ] . Chinese Journal of Aeronautics , 2015 , 28 ( 5 ): 1510 - 1518 .

LI X , GUO F C , YANG L , et al . Improved solution for geolocating a known altitude source using TDOA and FDOA under random sensor location errors [J ] . Electronics Letters , 2018 , 54 ( 9 ): 597 - 599 .

MA F H , LIU Z M , YANG L , et al . Altitude constrained source localization using TDOA, FDOA and differential Doppler rate [J ] . Digital Signal Processing , 2022 , 123 ( 4 ): 103385 .

PEI Y H , WU G Z , GUO F C . Geolocation a known-altitude moving source by TDOA and FDOA measurements [J ] . Electronics Letters , 2022 , 58 ( 13 ): 514 - 516 .

PEI Y H , LI X , GUO F C . Geolocation of a known-altitude moving source using TDOA and FDOA in the presence of altitude error [J ] . Digital Signal Processing , 2023 , 132 ( 1 ): 103798 .

LI M Z , LI X J . A closed-form solution for moving target localization with sphere constraint [J ] . IEEE Communications Letters , 2019 , 23 ( 7 ): 1207 - 1210 .

HO K C , CHAN Y T . Ceolocation of a known altitude object from TDOA and FDOA measurements [J ] . IEEE Transactions on Aerospace and Electronic Systems , 1997 , 33 ( 3 ): 770 - 783 .

MARZETTA T L . A simple derivation of the constrained multiple parameter Cramer-Rao bound [J ] . IEEE Transactions on Signal Processing , 1993 , 41 ( 6 ): 2247 - 2249 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

TOAs/FOAs Cooperative Localization Method for Multiple Disjoint Moving Emitters in Presence of Imperfect Synchronization Between Receivers and Transmitters

A Multimodal DOA Estimation Method of Coherently Distributed Sources in Impulse Noise

A FOA-Based Localization Method for Moving Single Station Under Unknown Signal Propagation Speed

Related Author

WANG Ye-lou

YANG Bin

ZHENG Na-e

YIN Jie-xin

GAO Hong-yuan

LIU Ya-peng

DU Ya-nan

CHENG Jian-hua

Related Institution

Institute of Data and Target Engineering， PLA Strategic Support Force Information Engineering University

College of Intelligent Systems Science and Engineering， Harbin Engineering University

College of Information and Communication Engineering， Harbin Engineering University

Institute of Information System Engineering, PLA Strategic Support Force Information Engineering University

Institute of Data and Target Engineering, PLA Strategic Support Force;Information Engineering University

⁰