On the Detectability of Synthetic Disturbances in FG5 Absolute Gravimetry Data Using Lomb-Scargle Analysis

Publication: GEOMATICA
1 January 2012

Abstract

An instrumental or environmental disturbance (signal plus noise) in FG5 absolute gravimetry observations becomes visible by analyzing the residuals, which represent the misfit from the theoretical acceleration parabola. While spectral analysis of FG5 residuals via classical discrete Fourier transform (DFT) is limited by the non-equispaced nature of the FG5 observations, the Lomb-Scargle periodogram can analyze nonequispaced observations and estimate (detect) signals in FG5 residuals. We investigate the detectability of synthetically introduced disturbances in FG5 residuals using Lomb-Scargle periodogram analysis. The sensitivity of the FG5 measurement and adjustment process is a function of disturbance frequency, amplitude, phase, and signal-to-noise ratio (SNR). We conclude that the used drop length and the transfer function of the instrument can significantly alter the estimated gravity values. Further, we establish a sensitivity function called LOFSMAP which depends on the disturbance parameter space of amplitude, frequency, phase and SNR.

Résumé

Une perturbation attribuable aux instruments ou à l’environnement (signal et bruit) dans les observations du gravimètre absolu FG5 devient visible en analysant les résiduelles, qui représentent les écarts relativement à la parabole d’accélération théorique. Même si l’analyse spectrale des résiduelles du FG5 par la transformée de Fourier discrète (TFD) classique est limitée par la nature inégale de l’espacement des observations par FG5, le périodogramme Lomb-Scargle peut analyser des observations inégalement espacées et estimer (détecter) des signaux dans les résiduelles du FG5. Nous étudions le caractère détectable des perturbations introduites synthétiquement dans les résiduelles du FG5 au moyen de l’analyse du périodogramme Lomb-Scargle. La sensibilité du processus de mesure et d’ajustement du FG5 est fonction de la fréquence, de l’amplitude, de la phase et du rapport signal-bruit (S/B) des perturbations. Nous concluons que la longueur de chute libre utilisée et la fonction de transfert de l’instrument peuvent modifier considérablement les valeurs de gravité estimées. En outre, nous établissons une fonction de sensibilité appelée LOFSMAP, qui dépend de l’espace de paramètre de la perturbation que sont l’amplitude, la fréquence, la phase et le rapport S/B.

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Published In

cover image GEOMATICA
GEOMATICA
Volume 66Number 2June 2012
Pages: 113 - 124

History

Published online: 1 January 2012

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Authors

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Martin Orlob
Department of Geosciences, University of Texas at Dallas, Texas, USA
Alexander Braun
Department of Geosciences, University of Texas at Dallas, Texas, USA

Notes

Martin Orlob, E-mail: martin.orlob@alumnimail.utdallas.edu
Alexander Braun, E-mail: braun@utdallas.edu

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1. Impact Estimation and Filtering of Disturbances in FG5 Absolute Gravimeter Observations

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