Application of the Allan Variance to Time Series Analysis in Astrometry and Geodesy: A Review

Malkin, Zinovy

doi:10.1109/tuffc.2015.2496337

Cited by 13 publications

(10 citation statements)

References 36 publications

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“…The Nobel Prize in Physics was awarded to Brian D. Josephson Physics in 1973 for the theoretical prediction of this effect [73]. The Allan variance tools find applications in geodesy and astrometry [94]. In VLBI, oscillators' short-term fluctuations cannot be compensated numerically, and limit the detection sensitivity.…”

Section: A a Taste Of Phase Noise And Frequency Stabilitymentioning

confidence: 99%

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

Rubiola

2023

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Phase noise and frequency stability both describe the fluctuation of stable periodic signals, from somewhat different standpoints. Unique compared to other domains of metrology, the fluctuations of interest span over at least 13 orders of magnitude, from 10 4 in a mechanical watch to 10 −17 in atomic clocks; and over 12-15 orders of magnitude in the frequency span, or the time span where the fluctuations occur. Say, from µHz to GHz Fourier frequency for phase noise, and from subµs to years integration time for variances. Being this domain 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 twosample (Allan and Allan-like) variances, and (3) a user guide to "The 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. It available from Zenodo DOI 10.5281/zenodo.4399218 under Creative Commons 4.0 CC-BY-NC-ND license.

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Section: A a Taste Of Phase Noise And Frequency Stabilitymentioning

confidence: 99%

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

Rubiola

2023

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“…AVAR presents following advantages with respect to other methods for characterization of coloured noise: 1) AVAR is independent of the long-term systematic components in the investigated time series; 2) AVAR converges for most of the commonly encountered types of noise, whereas other classical methods do not always converge to a finite value; 3) In practical applications, it has weak sensitivity to low-frequency signal variations; 4) AVAR is more computationally effective than classical spectral methods and widely used to investigate the spectral characteristics of a time series for noise type identification [23].…”

Section: A Motivations From An Engineering Perspectivementioning

confidence: 99%

Characterization of Received Signal Strength Perturbations Using Allan Variance

Luo

Casaseca‐de‐la‐Higuera

McClean

et al. 2018

IEEE Trans. Aerosp. Electron. Syst.

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Abstract-The received signal strength (RSS) of wireless signals conveys important information that has been widely used in wireless communications, localisation and tracking. Traditional RSS-based research and applications model the RSS signal using a deterministic component plus a white noise term. This paper investigates the assumption of white noise to have a further understanding of the RSS signal and proposes a methodology based on the Allan Variance (AVAR) to characterise it. Using AVAR, we model the RSS unknown perturbations as correlated random terms. These terms can account for both coloured noise or other effects such as shadowing or smallscale fading. Our results confirm that AVAR can be used to obtain a flexible model of the RSS perturbations, as expressed by coloured noise components . The study is complemented by introducing two straightforward applications of the proposed methodology: 1) The modelling and simulation of RSS noise using Wiener processes, and 2) RSS localisation using the extended Kalman filter.

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“…The space geodetic network is designed to set the global geocentric coordinate system [5]. The Doppler geodetic network is designed to spread the global coordinate system on the territory of the CIS 1112 (2022) 012156 IOP Publishing doi:10.1088/1755-1315/1112/1/012156 2 countries [6].…”

Section: Introductionmentioning

confidence: 99%

On the development of satellite geodetic networks using mobile monitoring and control stations

Ковалев

Kovalev

et al. 2022

IOP Conf. Ser.: Earth Environ. Sci.

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The article gives an overview of the structural elements of geodetic networks of various types. For satellite geodetic networks, a promising method of using mobile monitoring and control stations is considered. This method provides an increase in the reliability and stability of the orbital constellation, however, when implementing it, it is necessary to pay special attention to the issue of geodetic referencing of the antennas of mobile monitoring and control stations. The problem of geodetic support for the phased deployment of the GLONASS satellite radio navigation system is described. It is shown that the developed methods of geodetic work on the binding of trajectory tracking stations of artificial Earth satellites provide the necessary accuracy, but can be improved in the process of experimental work.

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Application of the Allan Variance to Time Series Analysis in Astrometry and Geodesy: A Review

Cited by 13 publications

References 36 publications

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

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

Characterization of Received Signal Strength Perturbations Using Allan Variance

On the development of satellite geodetic networks using mobile monitoring and control stations

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