46 citations · 123 across the 12 of their papers we have counts for
14 papers
A Cryogenic Sapphire Resonator Oscillator with 1e-16 mid-term fractional frequency stability
Christophe Fluhr, Benoit Dubois, Claudio E. Calosso +3
We report in this letter the outstanding frequency stability performances of an autonomous cryogenique sapphire oscillator presenting a flicker frequency noise floor below 2e-16 ne…
The Statistics of the Cross-Spectrum and the Spectrum Average: Generalization to Multiple Instruments
Antoine Baudiquez, Éric Lantz, Enrico Rubiola +1
This article addresses the measurement of the power spectrum of red noise processes at the lowest frequencies, where the minimum acquisition time is so long that it is impossible t…
The Companion of Enrico's Chart for Phase Noise and Two-Sample Variances
Enrico Rubiola, Francois Vernotte
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…
Applying clock comparison methods to pulsar timing observations
Siyuan Chen, Francois Vernotte, Enrico Rubiola
Frequency metrology outperforms any other branch of metrology in accuracy (parts in ) and small fluctuations (). In turn, among celestial bodies, the rotation…
Response and Uncertainty of the Parabolic Variance PVAR to Non-Integer Exponents of the Power Law
François Vernotte, Siyuan Chen, Enrico Rubiola
Oscillator fluctuations are described as the phase or frequency noise spectrum, or in terms of a wavelet variance as a function of the measurement time. The spectrum is generally a…
Cross-Spectrum Measurement Statistics
Antoine Baudiquez, Éric Lantz, Enrico Rubiola +1
The cross-spectrum method consists in measuring a signal simultaneously with two independent instruments. Each of these instruments contributes to the global noise by its in…
KLTS: A rigorous method to compute the confidence intervals for the Three-Cornered Hat and for Groslambert Covariance
Éric Lantz, Claudio E. Calosso, Enrico Rubiola +4
The three-cornered hat / Groslambert Covariance methods are widely used to estimate the stability of each individual clock in a set of three, but no method gives reliable confidenc…
Three-Cornered Hat and Groslambert Covariance: A first attempt to assess the uncertainty domains
François Vernotte, Éric Lantz
The three-cornered hat method and the Groslambert Covariance are very often used to estimate the frequency stability of each individual oscillator in a set of three oscillators by…
Frequency Stability Measurement of Cryogenic Sapphire Oscillators with a Multichannel Tracking DDS and the Two-Sample Covariance
Claudio E. Calosso, François Vernotte, Vincent Giordano +2
This article shows the first measurement of three 100 MHz signals exhibiting fluctuations from 2E-16 to parts in 1E-15 for integration time tau between 1 s and 1 day. Such stable s…
Least square estimation of phase, frequency and PDEV
Magnus Danielson, Francois Vernotte, Enrico Rubiola
The Omega-preprocessing was introduced to improve phase noise rejection by using a least square algorithm. The associated variance is the PVAR which is more efficient than MVAR to…
The Omega Counter, a Frequency Counter Based on the Linear Regression
E. Rubiola, M. Lenczner, P. -Y. Bourgeois +1
This article introduces the Ω counter, a frequency counter -- or a frequency-to-digital converter, in a different jargon -- based on the Linear Regression (LR) algorithm on time st…
Can we define a best estimator in simple 1-D cases ?
Eric Lantz, Francois Vernotte
With a small number of measurements, the three most well known estimators of a single parameter give very different results when estimating a scale parameter. A transformation of t…
The cross-spectrum experimental method
Enrico Rubiola, Francois Vernotte
The noise of a device under test (DUT) is measured simultaneously with two instruments, each of which contributes its own background. The average cross power spectral density conve…
Stability Variances: A filter Approach
Alaa Makdissi, François Vernotte, Emeric De Clercq
We analyze the Allan Variance estimator as the combination of Discrete-Time linear filters. We apply this analysis to the different variants of the Allan variance: the Overlapping…