论文标题

Enrico图表的同一噪声和两样本差异的伴侣

The Companion of Enrico's Chart for Phase Noise and Two-Sample Variances

论文作者

Rubiola, Enrico, Vernotte, Francois

论文摘要

相位噪声和频率(IN)稳定性都从某种不同的角度描述了稳定周期信号的波动。与其他计量界相比,频率是独一无二的,因为它的感兴趣的波动范围至少14个数量级,从机械手表中的$ 10^{ - 4} $到原子钟的$ 10^{ - 18} $。感兴趣的频率范围约为12-15个数量级,从$μ$ Hz到相位噪声的GHz傅立叶频率,而波动发生的时间范围范围从估计$μ$ s到多年的差异时间。由于该领域在科学技术中无处不在,因此适合提到的多样性的通用语言和工具是一个挑战。 本文立即是(1)教程,(2)综述,涵盖了有关相位噪声,频率噪声和两样本(Allan和Allan样)方差的最重要事实,以及(3)“ Enrico的相位噪声图表和两样本差异”的用户指南。反过来,图表是一张参考卡,收集单个A4/A大小纸中最有用的概念,公式和图,旨在在与这些主题一起使用的人的桌子上成为主食。该图表可在Zenodo的Creative Commons 4.0 CC-BY-NC-ND许可下获得,DOI 10.5281/Zenodo.4399218。 Enrico的主页免费提供大量辅助材料http://rubiola.org。

Phase noise and frequency (in)stability both describe the fluctuation of stable periodic signals, from somewhat different standpoints. Frequency is unique compared to other domains of metrology, in that its fluctuations of interest span at least 14 orders of magnitude, from $10^{-4}$ in a mechanical watch to $10^{-18}$ in atomic clocks. The frequency span of interest is some 12-15 orders of magnitude, from $μ$Hz to GHz Fourier frequency for phase noise, while the time span over which the fluctuations occur ranges from sub-$μ$s to years integration time for variances. Because this domain is ubiquitous in science and technology, a common language and tools suitable to the variety mentioned are a challenge. This article is at once (1) a tutorial, (2) a review covering the most important facts about phase noise, frequency noise and two-sample (Allan and Allan-like) variances, and (3) a user guide to "Enrico's Chart of Phase Noise and Two-Sample Variances." In turn, the Chart is a reference card collecting the most useful concepts, formulas and plots in a single A4/A-size sheet, intended to be a staple on the desk of whoever works with these topics. The Chart is available under Creative Commons 4.0 CC-BY-NC-ND license from Zenodo, DOI 10.5281/zenodo.4399218. A wealth of auxiliary material is available for free on the Enrico's home page http://rubiola.org.

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