In order to apply TimeGrating sensors to the high speed fields, a novel angle measurement system is designed. This system can achieve dynamic measurement and reduce costs compared with the conventional measuring system. Firstly, optimized coordinate rotation digital computer (CORDIC) algorithm is utilized for rough angle calculation. Then, a high accuracy compensation algorithm is proposed to realize precise angle calculation, considering linear relationship when the angle is close to zero. This method not only reduces the number of iterations, but also achieves higher output accuracy and high realtime performance. Finally, the measurement error caused by the algorithm is discussed, and the error of the whole system is traced. With the parasitic time grating angular displacement sensor as the carrier, by adjusting the sensor input and using the oversampling of highspeed Analog Digital (AD), the whole solution system is implemented and a testing platform is built. Experimental results indicate that the measured precision of the system is below 10″when the signal of sensor has been calibrated, and can satisfy the dynamic measurement requirements.