用后验估计法联合校准磁力计与惯性单元,快20倍且精度更高。
Joint Magnetometer-IMU Calibration via Maximum A Posteriori Estimation
- 将参数与姿态轨迹一并作为未知量,用解析导数高效优化。
- 仿真显示误差降低20%-30%,真实实验30组<2分钟完成。
- 适合需快速高精度校准的导航系统研发人员使用。
本文提出一种新的磁力计与惯性测量单元(IMU)联合校准方法,重点平衡校准精度与计算效率。该方法基于最大后验估计框架,将校准参数与传感器姿态轨迹均视为未知量,利用解析导数实现校准参数的高效优化。与两种前沿方法对比,仿真结果表明,所提方法在校准参数上的均方根误差最低,精度提升20%-30%,同时保持优异计算效率。真实世界实验进一步验证了其有效性:在消费级笔记本上,该方法在两分钟内完成30组磁力计-IMU对的校准,较最准确的现有算法快一个数量级。此外,使用该方法校准后的磁场辅助惯性导航系统,定位性能与使用前沿方法相当。结果表明,该方法是联合校准磁力计-IMU对的可靠有效选择。
原文摘要 · Abstract (English)
This paper presents a new method for jointly calibrating a magnetometer and inertial measurement unit (IMU), focusing on balancing calibration accuracy and computational efficiency. The proposed method is based on a maximum a posteriori estimation framework, treating both the calibration parameters and orientation trajectory of the sensors as unknowns. This method enables efficient optimization of the calibration parameters using analytically derived derivatives. The performance of the proposed method is compared against that of two state-of-the-art methods. Simulation results demonstrate that the proposed method achieves the lowest root mean square error in calibration parameters, increasing the calibration accuracy by 20-30%, while maintaining competitive computational efficiency. Further validation through real-world experiments confirms the practical benefits of the proposed method. The proposed method calibrated 30 magnetometer-IMU pairs in under two minutes on a consumer-grade laptop, which is one order of magnitude faster than the most accurate state-of-the-art algorithm as implemented in this work. Moreover, when calibrated using the proposed method, a magnetic-field-aided inertial navigation system achieved positioning performance comparable to when it is calibrated with the state-of-the-art method. These results demonstrate that the proposed method is a reliable and effective choice for jointly calibrating magnetometer-IMU pairs.
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