A cesium atomic clock frequency anomaly detection algorithm based on clock prediction and its performance analyses

doi:10.11947/j.AGCS.2020.20190322

Abstract

Abstract: A cesium atomic clock frequency anomaly detection algorithm based on clock prediction is proposed. The theory is based on the analytical expression of clock prediction uncertainty. Prediction errors are used as the test statistics and a binary hypothesis test is adopted. The test statistics all follow standard normal distributions. By means of setting a false alarm probability (P_FA) value and acquiring the distribution function of normal distributions, the detection threshold can be determined. According to the detection threshold and the distribution function of the test statistics when anomalies appear, the expression of the detection probabilities (P_D)s with different mean frequency jump levels (Y_a)s is derived. Simulations and experiments validate the theoretical analyses. Based on the analyses, the methods of improving the detection probability are summarized.

Key words: atomic clock, anomaly detection, clock prediction, test statistics, detection threshold, false alarm probability, detection probability

CLC Number:

P228

WU Yiwei. A cesium atomic clock frequency anomaly detection algorithm based on clock prediction and its performance analyses[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(1): 52-60.

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