Identification of Suspicious Data for Robust Estimation of Stochastic Processes

Many geodetic measurements which are automatically gathered by sensors can be interpreted as a time series. For instance, measurements collected by a satellite platform along the satellite’s track can be seen as a time series along the orbit. Special treatment is required if the time series is contaminated by outliers or non-stationarities, summarized as ‘suspicious data’, stemming from sensor noise variations or changes in environment. Furthermore, the collected measurements are often – for instance due to the sensor design – correlated along the track.

[1]  W. Schuh,et al.  Further Results on a Modified EM Algorithm for Parameter Estimation in Linear Models with Time-Dependent Autoregressive and t-Distributed Errors , 2017 .

[2]  Torsten Mayer-Gürr,et al.  EGM_TIM_RL05: An independent geoid with centimeter accuracy purely based on the GOCE mission , 2014 .

[3]  S.M. Kay,et al.  Spectrum analysis—A modern perspective , 1981, Proceedings of the IEEE.

[4]  B. Frommknecht,et al.  Mission design, operation and exploitation of the gravity field and steady-state ocean circulation explorer mission , 2011 .

[5]  G. C. Tiao,et al.  Estimation of time series parameters in the presence of outliers , 1988 .

[6]  M. Otto,et al.  Outliers in Time Series , 1972 .

[7]  Ina Loth,et al.  An iteratively reweighted least-squares approach to adaptive robust adjustment of parameters in linear regression models with autoregressive and t-distributed deviations , 2018, Journal of Geodesy.

[8]  Peter J. Huber,et al.  Robust Statistics , 2005, Wiley Series in Probability and Statistics.

[9]  R. Rummel,et al.  GOCE gravitational gradiometry , 2011 .

[10]  Wolf-Dieter Schuh.  The Processing of Band-Limited Measurements; Filtering Techniques in the Least Squares Context and in the Presence of Data GAPS , 2003 .

[11]  F. Sansò,et al.  First GOCE gravity field models derived by three different approaches , 2011 .

[12]  P. Broersen,et al.  How to handle colored observation noise in large least-squares problems , 2003 .

[13]  W. Schuh,et al.  Adjustment of Digital Filters for Decorrelation of GOCE SGG Data , 2014 .

[14]  Christian Siemes,et al.  Improving GOCE cross-track gravity gradients , 2017, Journal of Geodesy.

[15]  Roland Klees,et al.  Impact of accounting for coloured noise in radar altimetry data on a regional quasi-geoid model , 2016, Journal of Geodesy.

[16]  D. Thomson,et al.  Robust Estimation of Power Spectra , 1979 .