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Tracking Nonstationarities In Clock Noises Using the Dynamic Allan Variance

机译:使用动态艾伦方差跟踪时钟噪声中的非平稳性

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摘要

In a previous paper we have introduced the concept of dynamic Allan variance, an extension of the classical Allan variance that is commonly used to evaluate the stability of atomic clocks. The Allan variance assumes the stationarity of the (increment of the) clock error signal, a condition that is valid for ideal clocks only. For real clocks one has to pay attention in the evaluation of the clock stability, because even for short time intervals the clock can exhibit a nonstationary behavior. Possible reasons for the lack of stationarity are sudden breakdowns, or, in the long term, clock ageing. Even cyclostationary behaviors can be observed due to daily or seasonal variation of temperature, humidity and other physical quantities that have a direct influence on the clock behavior. The main purpose of the Dynamic Allan variance is to describe the variation in time of the clock stability. In this paper we give a mathematical definition of this quantity. We apply our method to simulated data and to real data coming from a Rubidium clock. The results are very interesting, and they show that the proposed method can track and reveal in a clear and intuitive manner the changes in the behavior of atomic clock data.
机译:在先前的论文中,我们介绍了动态Allan方差的概念,它是经典Allan方差的扩展,通常用于评估原子钟的稳定性。艾伦方差假设时钟误差信号(的增加)的平稳性,该条件仅对理想时钟有效。对于真实时钟,在时钟稳定性评估中必须注意,因为即使在较短的时间间隔内,时钟也可能表现出不稳定的行为。缺乏平稳性的可能原因是突然的故障,或者从长远来看,时钟老化了。由于温度,湿度和其他直接影响时钟行为的物理量的每日或季节性变化,甚至可以观察到循环平稳行为。动态艾伦方差的主要目的是描述时钟稳定性随时间的变化。在本文中,我们给出了该数量的数学定义。我们将我们的方法应用于模拟数据以及来自a时钟的真实数据。结果非常有趣,它们表明所提出的方法可以以清晰直观的方式跟踪和揭示原子钟数据行为的变化。

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