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动态 Allan 方差 III:置信和检测曲面。

The dynamic Allan variance III: confidence and detection surfaces.

机构信息

Politecnico di Torino, Torino, Italy.

出版信息

IEEE Trans Ultrason Ferroelectr Freq Control. 2011 Aug;58(8):1550-8. doi: 10.1109/TUFFC.2011.1982.

DOI:10.1109/TUFFC.2011.1982
PMID:21859574
Abstract

The dynamic Allan variance (DAVAR) is a surface which describes the stability of a high-precision clock with respect to time. When the DAVAR is evaluated from experimental data, its surface shows random fluctuations caused by the estimation process. It is fundamental to assign a statistical significance to these fluctuations, so that they can be differentiated from the variations of the surface caused by clock anomalies. First, we develop confidence surfaces to assign a statistical significance to the random fluctuations of the DAVAR estimator. Then, we introduce detection surfaces to reveal the variations of the surface caused by clock anomalies. We validate the obtained results through numerical simulations.

摘要

动态 Allan 方差(DAVAR)是一个描述高精度时钟相对于时间稳定性的曲面。当从实验数据中评估 DAVAR 时,其曲面会显示出由估计过程引起的随机波动。为这些波动赋予统计学意义非常重要,以便将它们与由时钟异常引起的曲面变化区分开来。首先,我们开发置信曲面来为 DAVAR 估计器的随机波动赋予统计学意义。然后,我们引入检测曲面来揭示由时钟异常引起的曲面变化。我们通过数值模拟验证了所得到的结果。

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