光栅干涉位移传感器信息解算方法研究

Research on information solution method of grating interference displacement sensor

  • 摘要: 面向光栅干涉式位移传感器信号高精度解算的需求,提出了一种基于椭圆拟合补偿及反正切算法的位移解算改进方法。采用傅里叶变换及标准化椭圆参数拟合法对信号误差估计,通过构建线性误差补偿模型对带误差信号进行正交补偿,结合反正切算法对信号进行线性化处理,实现高精度位移解算读出。Matlab仿真结果表明,该方法对信号正交补偿效果显著,线性化处理算法解算位移最大相对误差小于0.2%。为提高光栅干涉式传感器位移解算精度提供了有效途径和方法。

     

    Abstract: Aiming at the increasing demand for signal high-precision solution methods of grating interferometric displacement sensors, an improved method of displacement solution based on ellipse fitting compensation and arctangent algorithm was proposed. The estimation of signal error parameters was realized by Fourier transform and normalized elliptic parameter fitting method, the orthogonal compensation of the signal with errors was carried out by constructing a linear error compensation model, and the signal was linearized with the arctangent algorithm to finally achieve high-precision displacement solution readout. The simulation results of Matlab show that this method is highly effective for the signal orthogonal compensation effects, and the maximum relative error of displacement solution for linearization is less than 0.2%, which provides an effective way and method to improve the displacement solution precision of grating interferometric sensors.

     

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