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Gaussian regression and power spectral density estimation with missing data: The MICROSCOPE space mission as a case study

Métris, Gilles; Rodrigues, Manuel; Touboul, Pierre +3 more

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 autoregres…

Dealing with missing data in the MICROSCOPE space mission: An adaptation of inpainting to handle colored-noise data

Bergé, Joel; Métris, Gilles; Touboul, Pierre +2 more

The MICROSCOPE space mission, launched on April 25, 2016, aims to test the weak equivalence principle (WEP) with a 10^-15 precision. Reaching this performance requires an accurate and robust data analysis method, especially since the possible WEP violation signal will be dominated by a strongly colored noise. An important complication is…