Research on the method of simultaneous measurement of angular position and angular speed for time grating

Abstract

A method is presented in order to realize the measurement of angular position and angular speed simultaneously based on the theory of time grating. A model of angular speed measurement is built by using the Doppler Effect which is produced by relative uniform motion of bi-coordinate system inside the time grating. Measure benchmarks of angular position and angular speed are unified to the time quantum by a space-equivalent V as an interim parameter between angular position and angular speed. Therefore, A uniform mathematical model is built for simultaneous measurement of angular position and angular speed. The experimental prototype of time grating is developed, and the angular position and angular speed are calculated by using FPGA (Field Programmable Gate Array). The results show that the method can effectively realize the simultaneous measurement of time grating angular position and angular speed. The experimental results show that the accuracy of angular position of time grating has reached ±4″and the angular speed stability has reached 5‰.