基于两点磁梯度张量不变量的目标定位法  

Target location method based on magnetic gradient tensor invariant of two⁃points

作　　者：张仑 张晓明 马喜宏[1,2] 陶威 杨晓蕾 ZHANG Lun;ZHANG Xiaoming;MA Xihong;TAO Wei;YANG Xiaolei(Natioanl Key Laboratory for Electronic Measurement Technology,North of China,Taiyuan 030051,China;Key Laboratory of Instrumentation Science&Dynamic Measurement of Ministry of Education,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学电子测试技术国家重点实验室,山西太原030051 [2]中北大学仪器科学与动态测试教育部重点实验室,山西太原030051

出　　处：《电子设计工程》2023年第12期6-10,15,共6页Electronic Design Engineering

基　　金：国家自然科学基金资助项目(61873247)。

摘　　要：针对传统基于单点磁梯度张量的目标定位方法无法消除背景地磁场及其他干扰磁场影响的问题,通过分析磁梯度张量矩阵特征值和特征向量之间的关系,构造出与磁偶极子位置矢量与磁矩矢量夹角无关的不变量,给出位置矢量和磁矩矢量关于特征值及特征向量的数学关系表达式。建立线性方程组,解算线性方程组实现磁目标定位。实验表明,与传统Nara法相比可以有效避免干扰磁场的影响,定位精度更高,相对定位误差在10%以内,磁传感器精度和系统基线距离是影响定位误差的重要因素。Aiming at the problem that the traditional target location method based on single point magnetic gradient tensor can not eliminate the influence of background geomagnetic field and other interfering magnetic fields,by analyzing the relationship between the eigenvalue and eigenvector of magnetic gradient tensor matrix,an invariant independent of the angle between magnetic dipole position vector and magnetic moment vector is constructed,the mathematical relationship expressions of position vector and magnetic moment vector about eigenvalue and eigenvector are given,and the linear equations are established,solving linear equations to realize magnetic target location;The experimental results show that compared with the traditional Nara method,it can effectively avoid the influence of interference magnetic field,the positioning accuracy is higher,and the relative positioning error is controlled within 10%.The accuracy of magnetic sensor and system baseline distance are important factors affecting the positioning error.

关 键 词：磁梯度张量 张量不变量 磁偶极子 磁目标定位 

分 类 号：TN09[电子电信—物理电子学]