Research of Clock Pulse Interpolation Technology Based on Constant Acceleration Model

Abstract

Abstract. Clock pulse interpolation method which relies on the software implementation is widely used in the measurement occasions when grating is used. For the displacement less than a grating pitch, common method is to estimate it using adjacent cycle information based on constant speed model or linear model. When the measured object moved with constant speed, these two methods would not introduce errors. However, when the measured object moved with constant acceleration or constant jerk, principle errors would be produced in these two methods. For this problem, this paper developed a method to measure the displacement less than one cycle in clock pulse interpolation method's applications based on constant acceleration model. Simulation result demonstrated that this method will not introduce error when the measured object moves with constant acceleration, and its overall effect is better than the estimation effect using constant speed model or linear model when the object moves with constant jerk.