Abstract Based on the virtue of complete isotropy around a dipole source, the normalized source strength (NSS) is introduced to the scalar triangulation and ranging (STAR) method to replace the original tensor contraction and a new real-time magnetic dipole localization method without asphericity error is proposed in this paper. Firstly, three unknown parameters of bearing vector are estimated by solving the equations about the NSS of six faces of the magnetometer cube. Secondly, the magnitude of magnetic moment vector is estimated using NSS and magnitude of the estimated bearing vector. Thirdly, linear equations about three unknown parameters of unit magnetic moment vector are established using the intermediate eigenvalues and NSS of six faces of the cube, and the least square solution is given. Simulations without and with measurement noises have been done to evaluate the performance of the proposed method. The results show that the proposed algorithm is correct in theory and the estimation results are more accurate than two other improved STAR methods.

中文翻译：

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基于归一化源强度的磁偶极子定位和磁矩估计方法

摘要 基于偶极子源周围完全各向同性的优点，将归一化源强度（NSS）引入标量三角测量和测距（STAR）方法中，以取代原来的张量收缩和一种新的无非球面性的实时磁偶极子定位方法。本文提出错误。首先，通过求解关于磁力计立方体六个面的NSS方程，估计出三个未知的方位矢量参数。其次，使用NSS和估计的轴承矢量的幅度估计磁矩矢量的幅度。再次，利用立方体六个面的中间特征值和NSS建立了单位磁矩向量三个未知参数的线性方程组，并给出了最小二乘解。已经进行了没有和有测量噪声的模拟来评估所提出方法的性能。结果表明，该算法在理论上是正确的，估计结果比其他两种改进的STAR方法更准确。