Frequency-dependent data weighting in global gravity field modeling from satellite data contaminated by non-stationary noise

Ditmar, Pavel; Klees, R.; Liu, X.

doi:10.1007/s00190-006-0074-4

Cited by 44 publications

(33 citation statements)

References 22 publications

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“…We conclude that the accelerometer data have very little impact on the quality of the gravity field using only the GPS measurements. This result confirms the findings of Ditmar et al (2007) and Prange et al (2009). Figure 12 (left), showing the difference degree amplitudes w.r.t.…”

Section: Fig 10supporting

confidence: 89%

The celestial mechanics approach: application to data of the GRACE mission

Beutler

Jäggi

Mervart

et al. 2010

J Geod

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The celestial mechanics approach (CMA) has its roots in the Bernese GPS software and was extensively used for determining the orbits of high-orbiting satellites. The CMA was extended to determine the orbits of Low Earth Orbiting satellites (LEOs) equipped with GPS receivers and of constellations of LEOs equipped in addition with intersatellite links. In recent years the CMA was further developed and used for gravity field determination. The CMA was developed by the Astronomical Institute of the University of Bern (AIUB). The CMA is presented from the theoretical perspective in (Beutler et al. 2010). The key elements of the CMA are illustrated here using data from 50 days of GPS, K-Band, and accelerometer observations gathered by the Gravity Recovery And Climate Experiment (GRACE) mission in 2007. We study in particular the impact of (1) analyzing different observables [Global Positioning System (GPS) observations only, inter-satellite measurements only], (2) analyzing a combination of observations of different types on the level of the normal equation systems (NEQs), (3) using accelerometer data, (4) different orbit parametrizations (short-arc, reduced-dynamic) by imposing different constraints on the stochastic orbit parameters, and (5) using either the

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Section: Fig 10supporting

confidence: 89%

The celestial mechanics approach: application to data of the GRACE mission

Beutler

Jäggi

Mervart

et al. 2010

J Geod

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“…Consequently, the lower degree harmonics are more contaminated by noise than before. Possibly, frequency dependent data weighting might be able to improve the solutions, as well (Ditmar et al, 2007).…”

Section: Utilization Of a Priori Informationmentioning

confidence: 99%

On the influence of the ground track on the gravity field recovery from high–low satellite-to-satellite tracking missions: CHAMP monthly gravity field recovery using the energy balance approach revisited

Weigelt

Sideris

Sneeuw

2009

J Geod

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In this paper, the influence of the ground track coverage on the quality of a monthly gravity field solution is investigated for the scenario of a high-low satellite-tosatellite tracking mission. Data from the CHAllenging Minisatellite Payload (CHAMP) mission collected in the period April 2002 to February 2004 has been used to recover the gravity field to degree and order 70 on a monthly basis. The quality is primarily restricted by the accuracy of the instruments. Besides, CHAMP passed through a 31 /2 repeat mode three times

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“…This type of correlation is observed in many practical applications, for example, in geodesy [35,36]. Also, by adding the noise in a different space from the one used to generate y = Ax, we avoided potential inverse crimes.…”

Section: Why Did We Generate and Add The Noise In The Time Domain?mentioning

confidence: 90%

Comparingparameter choice methods for regularization of ill-posed problems

Bauer

Lukas

2011

Mathematics and Computers in Simulation

252

111

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In the literature on regularization, many different parameter choice methods have been proposed in both deterministic and stochastic settings. However, based on the available information, it is not always easy to know how well a particular method will perform in a given situation and how it compares to other methods. This paper reviews most of the existing parameter choice methods, and evaluates and compares them in a large simulation study for spectral cut-off and Tikhonov regularization. The test cases cover a wide range of linear inverse problems with both white and colored stochastic noise. The results show some marked differences between the methods, in particular, in their stability with respect to the noise and its type. We conclude with a table of properties of the methods and a summary of the simulation results, from which we identify the best methods.

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Frequency-dependent data weighting in global gravity field modeling from satellite data contaminated by non-stationary noise

Cited by 44 publications

References 22 publications

The celestial mechanics approach: application to data of the GRACE mission

The celestial mechanics approach: application to data of the GRACE mission

On the influence of the ground track on the gravity field recovery from high–low satellite-to-satellite tracking missions: CHAMP monthly gravity field recovery using the energy balance approach revisited

Comparingparameter choice methods for regularization of ill-posed problems

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