基于互补函数算式的光栅快速细分方法

A Method of Fast Grating Subdivision Based on Formula of Mutual Compensation Functions

在介绍标准细分信号结构的基础上,阐述了互补函数算式的构建、细分算法和光栅快速细分的有限数据采样点的选取。提出的互补函数算式,给出了通用的细分格式和计算方法,避免了光栅信号采样值的象限判断以及分象限细分计算问题,且细分误差仅与光栅信号第一个采样值和最后一个采样值的精确度有关,与中间测量过程中的光栅信号采样值的误差无关。

Based on the analysis of standard subdivision signals＇ structure, the subdivision＇s formula of mutual compensation functions established for subdivision＇s algorithm were put forward and discussed, the minimum number of data sampled in one cycle of grating signals for fast subdivision were determined. By the subdivision＇s formula of mutual compensation functions, the unitary subdivision＇s format and its counting method were given, the complicated judging problems of quadrants and complicated calculating problems of subdivision＇s algorithm related with the quadrants of grating signals were avoided, the subdivision＇s error is only dependent on the start sampling precision and the end sampling precision of grating signals, but uninfluenced by the mid sampling precision of grating signals in the process of measurement.