GPS Stochastic Modelling
Signal Quality Measures and ARMA Processes
(Sprache: Englisch)
This book is a key step towards a realistic GNSS stochastic model and provides good examples of statistical verification and physical interpretation of results. It gives an overview of the GNSS error effects and details the mathematical models.
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This book is a key step towards a realistic GNSS stochastic model and provides good examples of statistical verification and physical interpretation of results. It gives an overview of the GNSS error effects and details the mathematical models.
Klappentext zu „GPS Stochastic Modelling “
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.
Inhaltsverzeichnis zu „GPS Stochastic Modelling “
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.
Autoren-Porträt von Xiaoguang Luo
Xiaoguang Luo is currently a research associate at the Geodetic Institute of Karlsruhe Institute of Technology (KIT), Germany. He received his Ph.D. in Geodesy and Geoinformatics from KIT in 2012. He is interested in analysing the stochastic model, atmospheric and site-specific effects of GNSS observations, with a special focus on statistical testing and time series modelling.
Bibliographische Angaben
- Autor: Xiaoguang Luo
- 2014, Repr. d. Ausg. v. 2013, XXIII, 331 Seiten, 127 farbige Abbildungen, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3642348351
- ISBN-13: 9783642348358
Sprache:
Englisch
Pressezitat
From the reviews:"The book is mathematical in that it is intended for readers who have a working knowledge of mathematical tools for communications systems. While the book is reasonably self-contained in terms of reviewing mathematical prerequisites and giving a broad view of the physical elements affecting GPS performance, at a technical level it is really intended for readers interested in designing components of GPS systems, or in policies pertaining to GPS systems." (Joseph D. Lakey, Mathematical Reviews, March, 2014)
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