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数字式开环单模光纤陀螺中求arcsine的查表和线性插值法 被引量:3

Method of Finding Arcsines and Linear Interpolation in Open-Loop Fiber Optic Gyroscopes Based on DSP
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摘要 研究数字式开环光纤陀螺中利用查表法求反正弦函数arcsine.在陀螺的标定中,根据测得的数据利用最小二乘和最小范数法求arcsine的拟合方程系数,以该方程作出对应动态范围±300°/s角速度的2001个数据的arcsine表.理论和试验表明,对于大动态范围(±300°/s)输出的光纤陀螺,利用该方法结合线性插值法提高了输出的线性度、对称性和精度,同时降低了对器件的要求,简化了运算,提高了DSP的处理速度. Method of finding values of arcsines in data tables for an openloop single mode fiber optic gyroscope (FOG) is studied. Coefficients of fitting functions for arcsines are first solved under the least squares and least norm conditions based on measurement data in calibrating the FOG. A table of 2001 data against a large dynamic range of angular velocities (±300°/s) is then made. Theory and experiments demonstrated that, when combined with linear interpolation it can improve the linearity, symmetry and precision of FOG output in 0~±300°/s. In addition, it lowers the demands for performance of parts, simplifies operations, and increases the processing rate of DSP.
出处 《北京理工大学学报》 EI CAS CSCD 北大核心 2003年第4期499-502,共4页 Transactions of Beijing Institute of Technology
基金 国家部委预研项目(03309040103)
关键词 光纤陀螺 刻度因数 非线性度 fiber optic gyroscope scale factor nonlinearity
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