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  1. Allan variance - Wikipedia

    • Allan variance is defined as one half of the time average of the squares of the differences between successive readings of the frequency deviation sampled over the sampling period. The Allan variance depends on the time period used between samples, therefore, it is a function of the sample period, commonly denoted as τ, likewise the distribution being measured… 展开

    Overview

    The Allan variance (AVAR), also known as two-sample variance, is a measure of frequency stability in clocks,
    The … 展开

    Background

    When investigating the stability of crystal oscillators and atomic clocks, it was found that they did not have a phase noise consisting only of white noise, but also of flicker frequency noise. These noise forms become a challe… 展开

    Formulations

    Given a time-series , for any positive real numbers , define the real number sequenceThen the -sample variance is defined (here in a modernized notation form) as the Bessel-corrected variance of the sequence :The interpretatio… 展开

    Supporting definitions

    The oscillator being analysed is assumed to follow the basic model of
    The oscillator is assumed to have a nominal frequency of , given in cycles per second (SI unit: hertz). The nominal angular frequency展开

    Estimators

    This definition is based on the statistical expected value, integrating over infinite time. The real-world situation does not allow for such time-series, in which case a statistical estimator needs to be used in its place. A number … 展开

     
  1. Allan variance is defined as one half of the time average of the squares of the differences between successive readings of the frequency deviation sampled over the sampling period. The Allan variance depends on the time period used between samples, therefore, it is a function of the sample period, commonly denoted as τ, likewise the distribution being measured, and is displayed as a graph ...

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    Allan variance is defined as one half of the time average of the squares of the differences between successive readings of the frequency deviation sampled over the sampling period. The Allan variance depends on the time period used between samples, therefore, it is a function of the sample period, commonly denoted as τ, likewise the distribution being measured, and is displayed as a graph ...

    en.wikipedia.org/wiki/Allan_variance

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