一种联合泰勒展开与最小二乘的运动目标被动雷达质心定位算法  

A Joint Taylor Expansion-Least Squares and Centroid Localization Algorithm for Passive Radar of Moving Targets

作　　者：廉一鸣 江利明 LIAN Yiming;JIANG Liming(Innovation Academy for Precision Measurement Science and Technology,CAS,340 Xudong Street,Wuhan 430077,China;College of Earth and Planetary Sciences,University of Chinese Academy of Sciences,A19 Yuquan Road,Beijing 100049,China)

机构地区：[1]中国科学院精密测量科学与技术创新研究院,武汉市430077 [2]中国科学院大学地球与行星科学学院,北京市100049

出　　处：《大地测量与地球动力学》2025年第1期41-47,共7页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(42174046);湖北省自然科学基金(2021CFA028)。

摘　　要：针对两步加权最小二乘(two stage weighted least squares,TSWLS)算法在复杂场景下对运动辐射源定位不精确、观测站位置和目标位置的几何关系与精度相关的问题,提出一种基于泰勒展开与两步加权最小二乘联合的运动目标被动雷达质心无源定位算法。该方法首先利用两步加权最小二乘算法求解目标的位置与速度;再将所获得的目标参数作为泰勒展开的初始值构造定位误差方程,并通过迭代对目标寻优求解;最后利用联合算法和两步加权最小二乘算法分别获得估计值,对两次估计值进行质心定位得到最终结果。仿真实验表明,无论目标处于高速还是低速状态下,相较于传统的两步加权最小二乘算法和加权最小二乘(weighted least squares,WLS)算法,本文所提算法在鲁棒性和定位精度方面均有较大提高,且降低了观测站位置和目标位置几何关系对定位精度的影响。In response to the imprecise localization of moving radiation sources in complex scenarios and issues related to the accuracy of the observation station’s position and the geometric relationship with the target using the two stage weighted least squares(TSWLS)algorithm,we propose a passive radar centroid passive localization algorithm for moving targets based on Taylor expansion and the joint application of TSWLS.This method utilizes a TSWLS algorithm to determine the target’s position and velocity.The obtained target parameters serve as initial values for Taylor expansion,constructing the positioning error equation.Through iterative optimization,the algorithm refines and solves for optimal target parameters.The proposed algorithm and TSWLS independently provide estimations,with the final result obtained through centroid localization.Simulation experiments show that,regardless of target speed,in comparison with traditional methods,the presented algorithm significantly improves robustness and positioning accuracy while reducing sensitivity to geometric relationships between the observation station and target.

关 键 词：被动雷达 无源定位 两步加权最小二乘 泰勒展开 质心定位 

分 类 号：P227[天文地球—大地测量学与测量工程]