基于时空域变换和动态预测的光栅信号细分方法
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摘要
为了提高光栅信号的细分倍数和细分精度,提出一种基于时空域变换和动态预测的光栅信号细分方法。根据光栅栅距与电信号周期的对应关系,利用该电信号过零点触发时间采样,完成空间基准向时间序列的转化。通过时间序列分析建立动态预测模型,预测下一个采样时间,并在预测时间内发送光栅信号细分脉冲。实验表明,细分倍数为400和800时的角位移细分误差均为±1. 2″,且光栅运动加速度及其变化率越小,细分误差越小。
In order to improve the subdivision multiplier and precision of optical grating,a subdivision method of optical grating signal based on time-space transformation and dynamic prediction is proposed. The relationship between the grating pitch and the signal period is utilized to transform the space datum into time series. The time-related sampling is triggered by zero-crossing of sinusoidal signal. A dynamic prediction model is also established based on time series analysis to predict the sampling time. The subdivision pulse is transmitted in predicted time. Experimental results show that the subdivision errors both achieve ± 1. 2″ when the subdivision multipliers are 400 and 800. The subdivision error varies similarly with the acceleration value or its change rate.
In order to improve the subdivision multiplier and precision of optical grating,a subdivision method of optical grating signal based on time-space transformation and dynamic prediction is proposed. The relationship between the grating pitch and the signal period is utilized to transform the space datum into time series. The time-related sampling is triggered by zero-crossing of sinusoidal signal. A dynamic prediction model is also established based on time series analysis to predict the sampling time. The subdivision pulse is transmitted in predicted time. Experimental results show that the subdivision errors both achieve ± 1. 2″ when the subdivision multipliers are 400 and 800. The subdivision error varies similarly with the acceleration value or its change rate.
引文
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[2]高旭,万秋华,赵长海,等.莫尔条纹光电信号正交性偏差的实时补偿[J].光学精密工程,2014,22(1):213-219.
[3]吕孟军,张纯良,游有鹏.提高莫尔条纹正切法细分精度的改进算法[J].纳米技术与精密工程,2011,9(3):194-198.
[4]左洋,龙科慧,刘兵,等.高精度光电编码器莫尔条纹信号质量分析方法[J].红外与激光工程,2015,44(1):260-265.
[5]冯英翘,万秋华.小型光电编码器细分误差校正方法[J].仪器仪表学报,2013,34(6):1374-1379.
[6]彭东林,张兴红,刘小康,等.基于时空转换的精密位移测量新方法与传统方法的比较[J].仪器仪表学报,2006,27(4):423-426.
[7]雷苗,彭宇,彭喜元.一种面向混沌时间序列预测的虚拟特征提取算法[J].电子与信息学报,2014,36(10):2400-2404.
[8]刘小康,郑方燕,王先全,等.时栅数控转台空间回转位置预测方法研究[J].仪器仪表学报,2011,32(10):2303-2308.
[9]冯济琴.基于预测理论的光栅信号精密细分方法研究[J].传感技术学报,2015,28(4):469-473.
[10]冯济琴,刘浩,陈自然,等.基于域变换和灰色预测的光栅信号软细分方法[J].仪器仪表学报,2016,37(2):263-269.