摘要
针对直接反演法受地磁场影响大的问题,通过求解欧拉反褶积公式在水平方向的偏导数,提出了基于磁梯度张量的改进定位算法,并根据磁梯度张量矩阵的绝对值最小的特征值对应的特征向量垂直于位置矢量这一关系,给出了附加约束方程,无需任何先验信息即可得到唯一的定位解。为了消除地磁场的影响,设计和搭建了一字形磁传感器阵列探测系统,并利用有限差分法估算得到了类十字形张量探头中央的磁梯度张量。仿真及试验结果表明:改进算法相比直接反演法受地磁场的影响更小,定位精度更高。
Aiming at the problem that the direct inversion method is greatly affected by the geomagnetic field,an improved localization algorithm based on magnetic gradient tensor is proposed by calculating the partial derivative of the Euler deconvolution formula in the horizontal direction. And an additional constraint equation is given based on the orthogonal relationship between the eigenvector corresponding to the smallest eigenvalue of the magnetic gradient tensor matrix and the position vectors,then a unique solution is obtained without any priori information. In order to eliminate the influence of the geomagnetic field,a monolithic magnetic sensor array detection system is designed and constructed,and the magnetic gradient tensor of the center of the similar cross-shaped tensor probe is estimated by the finite difference method.Simulation and experimental results prove that the improved algorithm is less affected by the geomagnetic field and has higher localization accuracy compared with the direct inversion method.
作者
张琪
张英堂
李志宁
李青竹
郑建拥
ZHANG Qi;ZHANG Ying-tang;LI Zhi-ning;LI Qing-zhu;ZHENG Jian-yong(Troop No.94019 of PLA,Hetian 848000,China;Vehicle and Electrical Engineering Department Shijiazhuang Campus of Army Engineering University,Shijiazhuang 050003,China)
出处
《装甲兵工程学院学报》
2018年第4期74-79,共6页
Journal of Academy of Armored Force Engineering
关键词
磁偶极子
定位
磁梯度张量
传感器阵列
地磁场
magnetic dipole
localization
magnetic gradient tensor
sensor array
geomagnetic field
