摘要
提出了一种基于图形拟合的小型光电编码器细分误差补偿的新方法。首先,采用分段函数法建立莫尔条纹三角波光电信号波形方程;然后,采用回归分析理论、可决系数方法,研究了所建三角波图形与实际光电信号图形的拟合程度,建立了莫尔条纹三角波图形拟合优度检验方法;最后,建立了细分误差补偿数学模型,给出了新的莫尔条纹细分计算公式,实现对细分误差的综合补偿。运用本方法对16位小型光电编码器进行细分误差补偿处理,经实际测试细分误差峰峰值由79"减小到27.5"。实际结果表明:研究的细分误差补偿方法,可提高光电编码器的细分精度,对于研制小型高精度光电编码器具有重要意义。
The new method for interpolation error compensation of the minitype photoelectrical encoder based on figure fitting is presented.Firstly,the triangular wave photoelectric signal equation of moire fringe is established with the subsection function;secondly,the fitting level is researched between the triangular wave graph and the practical photo-electrical signal graph with the regression analysis and coefficient of determination,and the fitting merit test method of the triangular wave graph is put forward;finally,the mode of interpolation error compensation and interpolation formula of moire fringe are established,which realize the comprehensive compensation of the interpolation error.The moire fringe interpolation error compensation is applied in a 16-bits minitype photoelectrical encoder.After testing,the peak-to-peak value of interpolation error has reduced to the 27.5" from 79".The experiment result shows: the interpolation error com-pensation method can improve the interpolation precision of photoelectrical encoder,and it is significant for the research of high-precision minitype photoelectrical encoder.
出处
《电子测量与仪器学报》
CSCD
2011年第7期605-611,共7页
Journal of Electronic Measurement and Instrumentation
关键词
光电编码器
图形拟合
细分误差
补偿
三角波
photoelectrical encoder
figure fitting
interpolation errors
compensation
triangular wave
作者简介
孙莹:1982年出生,2005年于长春理工大学获得学士学位,2010年于长春光机所获得博士学位,现为长春光机所助理研究员,主要研究方向为光电位移精密测量及光电编码器等。E—mail:sun96ying@163.com