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GPS Stochastic Modelling [electronic resource] : Signal Quality Measures and ARMA Processes / by Xiaoguang Luo.

By: Luo, Xiaoguang [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Theses, Recognizing Outstanding Ph.D. Research: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Description: XXIII, 331 p. 129 illus., 127 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642348365.Subject(s): Geography | Remote sensing | Geography | Remote Sensing/Photogrammetry | Mathematical Applications in the Physical Sciences | Signal, Image and Speech ProcessingDDC classification: 910.285 Online resources: Click here to access online
Contents:
Introduction -- Mathematical Background -- Mathematical Models for GPS Positioning -- Data and GPS Processing Strategies -- Observation Weighting Using Signal Quality Measures -- Results of SNR-based Observation Weighting -- Residual-based Temporal Correlation Modelling -- Results of Residual-based Temporal Correlation Modelling -- Conclusions and Recommendations -- Quantiles of Test Statistics -- Derivations of Equations -- Additional Graphs -- Additional Tables.
In: Springer eBooksSummary: Global Navigation Satellite Systems (GNSS), such as GPS, have become an efficient, reliable and standard tool for a wide range of applications. However, when processing GNSS data, the stochastic model characterising the precision of observations and the correlations between them is usually simplified and incomplete, leading to overly optimistic accuracy estimates. This work extends the stochastic model using signal-to-noise ratio (SNR) measurements and time series analysis of observation residuals. The proposed SNR-based observation weighting model significantly improves the results of GPS data analysis, while the temporal correlation of GPS observation noise can be efficiently described by means of autoregressive moving average (ARMA) processes. Furthermore, this work includes an up-to-date overview of the GNSS error effects and a comprehensive description of various mathematical methods.
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Introduction -- Mathematical Background -- Mathematical Models for GPS Positioning -- Data and GPS Processing Strategies -- Observation Weighting Using Signal Quality Measures -- Results of SNR-based Observation Weighting -- Residual-based Temporal Correlation Modelling -- Results of Residual-based Temporal Correlation Modelling -- Conclusions and Recommendations -- Quantiles of Test Statistics -- Derivations of Equations -- Additional Graphs -- Additional Tables.

Global Navigation Satellite Systems (GNSS), such as GPS, have become an efficient, reliable and standard tool for a wide range of applications. However, when processing GNSS data, the stochastic model characterising the precision of observations and the correlations between them is usually simplified and incomplete, leading to overly optimistic accuracy estimates. This work extends the stochastic model using signal-to-noise ratio (SNR) measurements and time series analysis of observation residuals. The proposed SNR-based observation weighting model significantly improves the results of GPS data analysis, while the temporal correlation of GPS observation noise can be efficiently described by means of autoregressive moving average (ARMA) processes. Furthermore, this work includes an up-to-date overview of the GNSS error effects and a comprehensive description of various mathematical methods.

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