西安电子科技大学学报（自然科学版）2025，Vol.52Issue(1)：94-104,11.DOI:10.19665/j.issn1001-2400.20241203
一种利用半正定松弛的运动目标无源定位算法
Semidefinite relax method for moving targets localization
摘要
Abstract
Using the time difference of arrival,frequency difference of arrival,and differential Doppler rate measurements from target radiation signals received by multiple receivers for joint localization is a current research hotspot as it can effectively enhance the passive location accuracy of moving targets.However,existing algorithms commonly employ a two-step weighted least squares method,which often results in significant positioning errors in low signal-to-noise ratio environments.To address this issue,a semidefinite relax method for moving targets localization is proposed.This method en-compasses three steps:first,by introducing three auxiliary variables,a pseudolinear passive location equation set is constructed;second,the localization problem is transformed into a quadratic pro-gramming problem with quadratic constraints by leveraging the relationship between the auxiliary variables and the target localization solution;finally,the semidefinite relaxation method is employed to convert the quadratic constraint optimization into a convex optimization problem,which is efficiently solved using optimization toolboxes.Simulation results demonstrate that,compared with the existing methods,the signal-to-noise ratio required by the proposed algorithm to achieve the target localization accuracy of the Cramer-Rao Lower Bound is smaller by at least 9 dB,and the proposed algorithm has a smaller localization error in lower signal-to-noise ratio environment.The effectiveness of the pro-posed algorithm is proved.关键词
无源定位/到达时差/到达频差/差分多普勒率/半正定松弛Key words
source localization/time difference of arrival/frequency difference of arrival/differential Doppler rate/semidefinite relax分类
电子信息工程引用本文复制引用
周成,林茜,马丛珊,应涛,满欣..一种利用半正定松弛的运动目标无源定位算法[J].西安电子科技大学学报（自然科学版）,2025,52(1):94-104,11.基金项目
国家自然科学基金(61501484) （61501484）
湖北省自然科学基金(2023AFB1039) （2023AFB1039）
