测定双轴磁传感器正交度的椭圆拟合法
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摘要
为了解决磁矢量投影法测双轴磁传感器正交度时步骤复杂、耗时费力等问题,提出椭圆拟合法测定双轴磁传感器正交度。利用最小二乘法对磁传感器的输出数据进行椭圆拟合,求出李萨如图形的一般方程,再根据方程所得的参数即可求得李萨如图的几何特征量,从而求得双轴磁传感器的正交角度。实测试验表明:利用椭圆拟合测定双轴磁传感器正交度的方法可在降低操作复杂度和测试设备费用的前提下获得较高的精度。
Ellipse fitting algorithm for dual-axis magnetic sensor orthogonality measurement was presented to resolve the peobloem of complicated and exhausting procedure which caused by the vector projecting method.The parametric equation of Lissajous figure could be sloved by ellipse fitting algorithm with least square method.Then the orthogonality of dual-axis magnetic sensor could be calculated by the geometric characteristics of the Lissajous figure after the parameters of the parametric equation been obtained.Measurement result indicated that the ellipse fitting algorithm not only could get high precision,but also was easily realized and simple to handle.
Ellipse fitting algorithm for dual-axis magnetic sensor orthogonality measurement was presented to resolve the peobloem of complicated and exhausting procedure which caused by the vector projecting method.The parametric equation of Lissajous figure could be sloved by ellipse fitting algorithm with least square method.Then the orthogonality of dual-axis magnetic sensor could be calculated by the geometric characteristics of the Lissajous figure after the parameters of the parametric equation been obtained.Measurement result indicated that the ellipse fitting algorithm not only could get high precision,but also was easily realized and simple to handle.
引文
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[4]刘科利,姚吉利.点位分布与椭圆拟合精度关系研究[J].山东理工大学学报(自然科学版),2010,24(4):61-64.LIU Keli,YAO Jili.The relationship between distributionof measuring point and ellipse fitting accuracy[J].Journalof Shandong Unirersity of Technology(Science and Tech-nology),2010,24(4):61-64.
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[6]李德堡.工程振动试验分析[M].北京:清华大学出版社,2004.
[2]李珊,范大鹏,张志勇,等.三轴磁罗盘的高精度误差补偿算法研究[J].传感器世界,2005(9):19-22.LI Shan,FAN Dapeng,ZHANG Zhiyong,et al.A high-accuracy algorithm of error compensation for three-axismagnetic compasses[J].Sensor World,2005(9):19-22.
[3]史连艳,宋文渊,王红云.基于旋转因子的磁传感器误差补偿改进椭圆法[J].探测与控制学报,2010,32(2):5-8.SHI Lianyan,SONG Wenyuan,WANG Hongyun.Im-proved ellipse method for error compensation of magneto-resistive sensors based on rotation factors[J].Journal ofDetection&Control,2010,32(2):5-8.
[4]刘科利,姚吉利.点位分布与椭圆拟合精度关系研究[J].山东理工大学学报(自然科学版),2010,24(4):61-64.LIU Keli,YAO Jili.The relationship between distributionof measuring point and ellipse fitting accuracy[J].Journalof Shandong Unirersity of Technology(Science and Tech-nology),2010,24(4):61-64.
[5]陈凯,刘青.一种随机化的椭圆拟合方法[J].计算机工程与科学,2005,27(6):48-50.CHEN Kai,LIU Qing.A new randomized method of el-lipse fitting[J].Computer Engineering and Science,2005,27(6):48-50.
[6]李德堡.工程振动试验分析[M].北京:清华大学出版社,2004.
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