A Theoretical Analysis of Frequency Uncertainty

In this work we present a preliminary study for the determination of the uncertainty on the frequency in the time measurements. The first part of this paper is dedicated to the theoretical study of the frequency uncertainty applying the law of the propagation of uncertainty and the spectral analysis approach. In the second part the theoretical results are compared with simulated results. In the final part we use real clock data and time transfer data to verify the analytical results. An accompanying paper in this proceedings "Experimental analysis of frequency transfer uncertainty" by Thomas E. Parker and Gianna Panfilo presents an experimental analysis of frequency transfer uncertainty.