Near-optimal moving average estimation at characteristic timescales: An Allan variance approach

H Haeri, CE Beal, K Jerath - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
… While Allan Variance was originally developed to address … clocks [12], it has quickly become
a useful tool for modeling … τ∗ associated with the minimum value of the Allan Variance is …

Optimal time estimation and the clock uncertainty relation for stochastic processes

K Prech, GT Landi, F Meier, N Nurgalieva… - arXiv preprint arXiv …, 2024 - arxiv.org
Allan variance of time estimators for a ring clock with a similar geometry to that of Fig. 5(b).
We take a disordered but nonrandom set of rates given by Rµσ = rσδµ,σ+1 +e−∆rµδµ,σ−1, …

The companion of Enrico's chart for phase noise and two-sample variances

E Rubiola, F Vernotte - IEEE Transactions on Microwave Theory …, 2023 - ieeexplore.ieee.org
… the two-sample (Allan or Allan-like) variance of the fractional … and clocks as well [22] because
the time interval associated … spectra, the variances, and their relations, and it explains the …

[HTML][HTML] Analysis of atomic-clock data to constrain variations of fundamental constants

N Sherrill, AO Parsons, CFA Baynham… - New Journal of …, 2023 - iopscience.iop.org
… Dilaton fields, see, eg [35–37]: they are similar to moduli, but … relations between quark and
lepton masses are very model … square root of the Modified Allan Variance, which is defined for …

Frequency ratio measurements at 18-digit accuracy using an optical clock network

Nature, 2021 - nature.com
… All data are analysed using the overlapping Allan deviation. … The variance of these known
statistical effects is \({\sigma }_{i}… of these models, we use a Bayesian approach 38 similar to …

Fundamental physics with a state-of-the-art optical clock in space

A Derevianko, K Gibble, L Hollberg… - Quantum Science …, 2022 - iopscience.iop.org
… , by measuring the relative variance of frequencies in the … optical clock in an elliptical orbit
around Earth is connected … the total Allan deviation, for the proposed optical lattice clock, …

Impact of satellite clock modeling on the GNSS-based geocenter motion determination

S Guo, L Fan, N Wei, S Gu, X Fang, G Jing, C Shi - Journal of Geodesy, 2024 - Springer
… -Z component and relevant orbital parameters. Secondly, we analyze the impact of the atomic
… Since the a posteriori variance factor of unit weight is comparable for all solutions, a direct …

Effect of atmospheric turbulence on timing instability for partially reciprocal two-way optical time transfer links

MT Taylor, A Belmonte, L Hollberg, JM Kahn - Physical Review A, 2020 - APS
… uncertainty analysis using the Allan timing variance (TVAR). … each power law is related to
the geometry of the link and the … two-way link will be below the stability of the clock past a few …

[HTML][HTML] A systematic review of biological, social and environmental factors associated with epigenetic clock acceleration

L Oblak, J van der Zaag, AT Higgins-Chen… - Ageing research …, 2021 - Elsevier
… age-related outcomes. Numerous biological, social and environmental factors have been
investigated for their relationship to epigenetic clock … Inverse variance weighting was used to …

[HTML][HTML] Characteristics of onefold clocks of GPS, Galileo, BeiDou and GLONASS systems

Q Ai, K Maciuk, P Lewinska, L Borowski - Sensors, 2021 - mdpi.com
Clock stabilities are typically measured on the basis of phase… conversion using Allan or
Hadamard (and related) variances [… ignored by the Allan variance, and the Hadamard variance is …