基于预处理总体最小二乘迭代的地磁标定补偿
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摘要
针对地磁敏感器易受干扰的特点,提出了一种预处理总体二乘迭代地磁标定补偿方法。分析了地磁敏感器的误差模型并提出校正模型,分析模型特点并转换为9个参数量的估计问题,将地磁数据进行希尔伯特黄变换(HHT)滤波处理,提高信噪比,用牛顿迭代法结合最小二乘估计计算待求的9个参数。实验结果表明:方法无需额外设备与器件,可以持续更新校正参数,且优于两步估计法的补偿精度,很好地标定补偿了地磁敏感器。
Aiming at the problem that geomagnetic sensor is susceptible to interference,a pre-processing total least square iteration method is proposed for calibration compensation. Error model for geomagnetic sensor is analyzed and the correction model is proposed,characteristics of model are analyzed and converted into estimation problem of nine parameters. The geomagnetic data is filtering processed by Hilbert Huang transform( HHT) to improve signal-to-noise ratio,and the nine parameters are calculated by using the combination of Newton iteration method and the least squares estimation method. The experimental results show that this method does not need additional equipment and devices,it can continuously update calibration parameters,and its compensation precision is prior to the two-step estimation method,it calibrates and compensates geomagnetic sensor error very well.
Aiming at the problem that geomagnetic sensor is susceptible to interference,a pre-processing total least square iteration method is proposed for calibration compensation. Error model for geomagnetic sensor is analyzed and the correction model is proposed,characteristics of model are analyzed and converted into estimation problem of nine parameters. The geomagnetic data is filtering processed by Hilbert Huang transform( HHT) to improve signal-to-noise ratio,and the nine parameters are calculated by using the combination of Newton iteration method and the least squares estimation method. The experimental results show that this method does not need additional equipment and devices,it can continuously update calibration parameters,and its compensation precision is prior to the two-step estimation method,it calibrates and compensates geomagnetic sensor error very well.
引文
[1]Song N F,Cai Q Z,Yang G L,et al.Anlysis and calibration of the mounting errors between inertial measurement unit and turntable in dual-axis rotational inertial navigation system[J].Measurement Science&Technology,2013,24(11):1933-1951.
[2]高可,林新华,储志伟,等.无磁转台的电子罗盘误差分离标定方法[J].传感器与微系统,2017,36(2):21-24.
[3]王泰涵,肖锋,袁园,等.航空重力梯度测量飞行姿态影响及误差校正[J].世界地质:英文版,2014,33(3):680-686.
[4]Markovic R,Krajnc A,Matko D.Calibration of a solid-state magnetic compass using angular-rate information from low-cost sensors[J].LET Science Measurement Technology,2011,5(2):54-58.
[5]吴志添,武元新,胡小平,等.基于总体最小二乘的捷联三轴磁力仪标定与地磁场测量误差补偿[J].兵工学报,2012,33(10):1202-1209.
[6]Lüken M,Misgeld B J,Rüschen D,et al.Multi-sensor calibration of low-cost magnetic,angular rate and gravity systems[J].Sensors,2015,15(10):25919-25936.
[7]李季,潘孟春,唐莺,等.基于形态滤波和HHT的地磁信号分析与预处理[J].仪器仪表学报,2012,33(10):2175-2180.
[8]张贤达.矩阵分析与应用[M].北京:清华大学出版社,2013.
[2]高可,林新华,储志伟,等.无磁转台的电子罗盘误差分离标定方法[J].传感器与微系统,2017,36(2):21-24.
[3]王泰涵,肖锋,袁园,等.航空重力梯度测量飞行姿态影响及误差校正[J].世界地质:英文版,2014,33(3):680-686.
[4]Markovic R,Krajnc A,Matko D.Calibration of a solid-state magnetic compass using angular-rate information from low-cost sensors[J].LET Science Measurement Technology,2011,5(2):54-58.
[5]吴志添,武元新,胡小平,等.基于总体最小二乘的捷联三轴磁力仪标定与地磁场测量误差补偿[J].兵工学报,2012,33(10):1202-1209.
[6]Lüken M,Misgeld B J,Rüschen D,et al.Multi-sensor calibration of low-cost magnetic,angular rate and gravity systems[J].Sensors,2015,15(10):25919-25936.
[7]李季,潘孟春,唐莺,等.基于形态滤波和HHT的地磁信号分析与预处理[J].仪器仪表学报,2012,33(10):2175-2180.
[8]张贤达.矩阵分析与应用[M].北京:清华大学出版社,2013.