Simple estimation of pulse amplitude noise and timing jitter evolution through the temporal Talbot effect.

We present a simple way to analytically predict the effect of the temporal Talbot self-imaging process on random amplitude noise and timing jitter in periodic optical pulse trains. The analysis is general and can be applied to any pulse shape; simulation results are in excellent agreement with the predicted values. In addition, the results clearly show that the temporal Talbot effect has an inherent property of mitigating the standard deviation of both pulse amplitude noise and timing jitter.