A scheme of global position system (GPS) disciplining Coherent Population Trapping (CPT) atomic clock is studied. The state equation and observation equation of the GPS disciplining CPT atomic clock system are derived. The state noise parameters for the state equation are obtained according to the relationship between the frequency stability of the output signal of the CPT atomic clock and the noise. The relevant noise parameters of the state equation are calculated. A Kalman filter is designed according to the established state equation and the observation equation, and applied to process the output frequency signal of a CPT atomic clock. The experimental results reveal that the frequency stability/day of the GPS disciplining CPT atomic clock using Kalman filter is one order of magnitude better.
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