This paper proposed a new type of time grating which adopts the two-stage secondary re-modulation scheme, where the output signals from the first-stage induction electrodes are applied as the excitation signals to the second-stage excitation electrodes, so that the second stage induction electrodes generate the traveling wave output signals with effective measurement period. The measurement period over the full measurement range of the sensor is increased from N to 2N, and the resolution of the sensor is doubled. The second level induction electrode adopts a differential structure design, which can effectively reduce common mode interference, improve the anti-interference ability and measurement accuracy of the sensor, and achieve high-resolution and high-precision angular displacement measurement. Experimental results have shown that this scheme can achieve high-precision displacement measurement.