Kalman滤波的铷原子钟控制算法

以GPS接收机输出的1pps信号为参考信号，采用Kalman滤波算法对铷原子钟的参数进行估计，计算铷原子钟的频率调整量，对铷原子钟进行调整，使其和UTC时间保持同步。实验结果表明，受驯铷原子钟输出1pps与UTC（NTSC）钟差的标准差优于3.5 ns，钟差峰峰值优于15 ns，100 s采样的Allan方差为1.83×10 -12 ，10000 s采样的Allan方差为6.1×10 -13 。实验证明了基于Kalman滤波的铷原子钟控制算法，使铷钟获得了较好的准确性和长期稳定性，且对其短期稳定性影响最小，是一种可靠稳定的铷钟控制方法。

An Algorithm for the Rubidium Atomic Clock Control Based on the Kalman Filter

Taking the 1pps signal of the GPS receiver as the reference signal, the parameters of the rubidium atomic clock are estimated by using the Kalman filter and the frequency adjustment amount of the rubidium atomic clock is calculated, so that the rubidium atomic clock is adjusted properly to make the rubidium atomic clock and the UTC time synchronized. The experimental results show that, the standard deviation of the clock error between the output 1pps of the disciplined rubidium atomic clock and the UTC (NTSC) is no more than 3.5ns, the peak-to-peak of the clock error is less than 15ns, the Allan variance with 100s sampling is 1.83×10 -12 , the Allan variance with 10000s sampling is 6.1×10 -13 . Therefore it is can be proved that the rubidium atomic clock gets the better accuracy and the long term stability, while the short-term stability is minimally affected. The test also proves that the Kalman filter is a reliable and stable to control the rubidium atomic clock.