A signal approach analysis of the Ramsey pattern in cesium beam frequency standards

In this paper we apply a modern signal processing approach for the determination of the Rabi frequency value and some frequency shifts in a Cs beam standard. The Rabi frequency is computed by two new methods from a single experimental Ramsey pattern. These methods are based on the derivative and the cepstrum properties of the Ramsey fringes. Then we show how some integrals over the time of flight distribution can be computed from a Ramsey record without the knowledge of the time of flight distribution. As an example the second order Doppler and the phase shift are computed directly from one Ramsey pattern