电子学报2023,Vol.51Issue(11):3011-3023,13.DOI:10.12263/DZXB.20230759
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
摘要
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 qua-dratic 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 trans-formed 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 ob-taining 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 pa-rameters,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 pas-sive radar system is deduced under the two quadratic equality constraints,and the performance gain resulting from the equal-ity constraints is quantified.The new estimator is also proved to be asymptotically statistically efficient by using the first-or-der error analysis as well as the Lagrange multiplier approach.Finally,simulation results verify the advantages of the pro-posed positioning method.关键词
外辐射源雷达/运动目标/拉格朗日乘子法/理论性能分析/克拉美罗界/解耦合参数估计Key words
passive radar/moving target/Lagrange multiplier approach/theoretical performance analysis/Cramér-Rao bound/decoupled parameter estimation分类
信息技术与安全科学引用本文复制引用
王鼎,尹洁昕,王叶露,徐文艳..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):3011-3023,13.基金项目
国家自然科学基金(No.62171469,No.62071029) (No.62171469,No.62071029)
军委科技委高层次科技创新人才自主科研项目(No.a6102)National Natural Science Foundation of China(No.62171469,No.62071029) (No.a6102)
Independent Re-search Project for High-level Scientific and Technological Innovation Talents of the Science and Technology Commission of the Military Commission(No.a6102) (No.a6102)