• Acta Physica Sinica
  • Vol. 69, Issue 17, 170201-1 (2020)
Hui-Jie Song1、2、*, Shao-Wu Dong1、2、3, Xiang Wang1、2, Yu Zhang1、2, and Yan-Ping Wang1、2
Author Affiliations
  • 1National Time Service Center, Chinese Academy of Sciences, Xi’an 710600, China
  • 2Key Laboratory of Time and Frequency Primary Standards, Chinese Academy of Sciences, Xi’an 710600, China
  • 3School of Astronomy and Space Science, University of Chinese Academy of Sciences, Beijing 100049, China
  • show less
    DOI: 10.7498/aps.69.20191920 Cite this Article
    Hui-Jie Song, Shao-Wu Dong, Xiang Wang, Yu Zhang, Yan-Ping Wang. An improved Kalman filter time scale algorithm for atomic clock noise variation[J]. Acta Physica Sinica, 2020, 69(17): 170201-1 Copy Citation Text show less
    The corrected time deviations of modeling AHM1 based on two algorithms: (a) The corrected time deviations of modelling AHM1 based on Kalman filter algorithm; (b) the corrected time deviations of modelling AHM1 based on modified Kalman filter algorithm.
    Fig. 1. The corrected time deviations of modeling AHM1 based on two algorithms: (a) The corrected time deviations of modelling AHM1 based on Kalman filter algorithm; (b) the corrected time deviations of modelling AHM1 based on modified Kalman filter algorithm.
    The corrected time deviations of modelling AHM2 based on two algorithms: (a) The corrected time deviations of modelling AHM2 based on Kalman filter algorithm; (b) the corrected time deviations of modelling AHM2 based on modified Kalman filter algorithm.
    Fig. 2. The corrected time deviations of modelling AHM2 based on two algorithms: (a) The corrected time deviations of modelling AHM2 based on Kalman filter algorithm; (b) the corrected time deviations of modelling AHM2 based on modified Kalman filter algorithm.
    Time scale based on two Kalman filter algorithms.
    Fig. 3. Time scale based on two Kalman filter algorithms.
    The overlapping Allan deviation of time scale based on two Kalman filter algorithms.
    Fig. 4. The overlapping Allan deviation of time scale based on two Kalman filter algorithms.
    Time scales based on two Kalman filter algorithms.
    Fig. 5. Time scales based on two Kalman filter algorithms.
    Time scale stabilities based on two Kalman filter algorithms.
    Fig. 6. Time scale stabilities based on two Kalman filter algorithms.
    取样时间/102 s KF scale/10–14R-KF scale/10–14
    39.8513.80
    66.738.75
    124.385.20
    302.502.70
    601.761.85
    1201.221.24
    3000.850.73
    6000.880.57
    12000.890.63
    Table 1.

    The overlapping Allan deviations of time scale based on two Kalman filter algorithms.

    基于两种Kalman滤波算法的时间尺度的重叠Allan偏差

    原子钟编号HM4926HM4967HM0296Cs3436Cs2098
    相对权重0.300.300.140.190.07
    Table 2.

    Relative weights of atomic clocks.

    原子钟的相对权重

    原子钟 编号 q1WFM/10–36 [s2/s] q2RWFM/10–50 [s2/s3] q3RWFM/[s2/s5]
    HM49264.644.994.27 × 10–60
    HM49675.884.603.87 × 10–60
    HM02962.014.106.80 × 10–49
    Cs343626.9000
    Cs20985.4300
    Table 3.

    Noise intensity of atomic clocks.

    原子钟的噪声强度

    计算方法最大偏 差值/ns 最小值偏 差值/ns 平均偏 差值/ns
    KF scale4.36–3.130.98
    R-KF scale1.11–2.65–0.47
    Table 4.

    Statistical values based on two Kalman filter algorithms.

    基于两种Kalman滤波算法的统计值

    Sample time/103 s KF scale/10–14R-KF scale/10–14
    3.601.941.64
    7.201.341.17
    14.401.030.92
    36.000.920.85
    72.000.740.69
    144.000.530.51
    360.000.270.25
    Table 5.

    The overlapping Allan deviations of time scale based on two Kalman filter algorithms.

    基于两种Kalman滤波算法的时间尺度的重叠阿伦偏差值

    Hui-Jie Song, Shao-Wu Dong, Xiang Wang, Yu Zhang, Yan-Ping Wang. An improved Kalman filter time scale algorithm for atomic clock noise variation[J]. Acta Physica Sinica, 2020, 69(17): 170201-1
    Download Citation