Error analysis of electromagnetic motion tracking systems is of growing interest to many researchers. Under sensor movement, it is logical to presume that the error in position and orientation measurements will increase due to the linearization used in the algorithms, among other reasons. In this article, we analyze theoretically the error, that results from linearization, in position measurement of the Polhemus tracking system for a moving sensor. We derive formulas to estimate this error in terms of the sensor position and speed. Then, we verify these formulas by numerical simulations.

中文翻译：

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交流电磁跟踪器中运动引起的误差建模

许多研究人员对电磁运动跟踪系统的误差分析越来越感兴趣。在传感器移动的情况下，假设位置和方向测量的误差会由于算法中使用的线性化等原因而增加是合乎逻辑的。在本文中，我们从理论上分析了运动传感器 Polhemus 跟踪系统的位置测量中线性化导致的误差。我们推导出公式来估计传感器位置和速度方面的误差。然后，我们通过数值模拟验证这些公式。