基于TSWLS-NM的四站无源定位算法  

A TSWLS-NM passive location method based on TDOA in case of four observers

作　　者：钱泓伍 左燕[1] 郭云飞[1] 薛安克[1] QIAN Hongwu;ZUO Yan;GUO Yunfei;XUE Anke(School of Automation,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学自动化学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2024年第2期1-7,共7页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(61673146,U22A2047);浙江省科技计划项目(2022C01095)。

摘　　要：针对四站情况下三维目标TDOA定位问题,提出了一种基于改进两步加权最小二乘(TSWLS)与牛顿迭代法(NM)相结合的无源定位算法(TSWLS-NM)。该方法首先将辅助变量和目标位置参数分离,构造新的定位模型实现降维。其次,利用牛顿法求解辅助变量,避免传统直接求根带来的无效解。最后,对目标位置估计进一步修正误差,以提高目标定位精度。理论分析和仿真结果显示:该算法在四站情况下定位精度可以达到克拉美罗下界(CRLB),且实时性和定位精度优于泰勒迭代算法和直接求根四站定位算法,同时该算法在五站情况下定位性能和抗噪性均优于TSWLS算法。A joint Two-Step Weighted Least Squares method and the Newton's Method(TSWLS-NM)algorithm is proposed to solve the 3D source localization in case of 4 observers based on Time Difference of Arrival(TDOA).A new location equation is established assuming that the auxiliary variables are known.The initial source position is estimated by solving the model with the TSWLS method in the case of 4 observers.Then the auxiliary variables are solved by Newton's Iterative Method to avoid the invalid solution.Finally,the source location estimation is further improved by error correction.Theoretical analysis and simulation results show that the proposed TSWLS-NM algorithm can achieve Cramer-Rao Lower Bound(CRLB)and is superior to both Taylor-series method and the direct rooting method in case of 4 observers.Meanwhile,the location accuracy of the proposed algorithm is better than the TSWLS method in case of 5 observers.

关 键 词：无源定位 到达时差 两步加权最小二乘 牛顿迭代算法 

分 类 号：TN958.97[电子电信—信号与信息处理]