2016
DOI: 10.1103/physrevd.93.122007
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Gaussian regression and power spectral density estimation with missing data: The MICROSCOPE space mission as a case study

Abstract: We present a Gaussian regression method for time series with missing data and stationary residuals of unknown power spectral density (PSD). The missing data are efficiently estimated by their conditional expectation as in universal Kriging, based on the circulant approximation of the complete data covariance. After initialization with an autoregessive fit of the noise, a few iterations of estimation/reconstruction steps are performed until convergence of the regression and PSD estimates, in a way similar to th… Show more

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Cited by 26 publications
(44 citation statements)
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“…In this section, we review the case of the Microscope data model. The Microscope space mission aims at testing the universality of free fall, for the first time in space [15]. In the following, we consider an extract of the data model used to parameterize the telemetry processing and especially to combine two telemetries.…”
Section: Case Studiesmentioning
confidence: 99%
“…In this section, we review the case of the Microscope data model. The Microscope space mission aims at testing the universality of free fall, for the first time in space [15]. In the following, we consider an extract of the data model used to parameterize the telemetry processing and especially to combine two telemetries.…”
Section: Case Studiesmentioning
confidence: 99%
“…In this section, we show our approach applies to particular evolutions of data models used in the PHARAO [7] and MICROSCOPE [8] space missions supplied by the French space agency (CNES) and at the French Aerospace lab (ONERA).…”
Section: Case Studiesmentioning
confidence: 99%
“…In this section, we study how the proposed approach applies to a particular evolution of a data model used in the MICROSCOPE project [8] . In the following, we detail the comparison, evolution and migration strategies that could be used to co-evolve (migrate) parameters data used during the telemetry processing, following our pipeline architecture.…”
Section: Contextmentioning
confidence: 99%
“…In this section, we will see how the previous approach is applied to a particular revision of a data model used in the MICROSCOPE project [16]. This project studies the universality of free fall in space thanks to two differential accelerometers supplied by the French National Aerospace Research Center, ONERA, and embedded in a microsatellite from the CNES.…”
Section: Case Study From the Microscope Projectmentioning
confidence: 99%