A closed-form formula for magnetic dipole localization by measurement of its magnetic field and spatial gradients
A closed-form formula for magnetic dipole localization by measurement of its magnetic field and spatial gradients
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DOI：
10.1109/tmag.2006.879151
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发表时间：
2006-10-01
影响因子：
2.1
通讯作者：
Ando, Shigeru
中科院分区：
文献类型：
--
作者：
Nara, Takaaki;Suzuki, Satoshi;Ando, Shigeru
本文提出了一种简单的磁偶极子定位算法和一种紧凑的磁偶极子定位传感器。首先，我们推导出一个明确的本地化公式，偶极子的位置，无论其姿势，直接重建的磁场和空间梯度张量。然后，我们开发了一个传感器单元，由三个正交的环形线圈，三个正交的平面梯度计，和三个正交的同轴梯度计，用于测量磁场，非对角，和对角分量的梯度张量，分别。进行了定位实验，当源-传感器距离为80 ~ 140 mm时，最大定位误差约为7 mm。
This paper presents a simple algorithm and a compact sensor for localization of a magnetic dipole. First, we derive an explicit localization formula, where the dipole position, irrespective of its posture, is directly reconstructed from the magnetic field and its spatial gradient tensor. Then, we develop a sensor unit consisting of three orthogonal loop coils, three orthogonal planar gradiometers, and three orthogonal coaxial gradiometers, for measuring the magnetic field, nondiagonal, and diagonal components of the gradient tensor, respectively. Localization experiments are conducted, where the maximum error is about 7 mm when the source-sensor distance is from 80 to 140 mm.