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  • © 2013

GPS Stochastic Modelling

Signal Quality Measures and ARMA Processes

Authors:

  • Outstanding doctoral thesis nominated for a Springer Theses Prize by Karlsruhe Institute of Technology, Germany
  • This work is a key step towards a realistic GNSS stochastic model, and provides good examples of statistical verification and physical interpretation of results
  • This thesis gives an up-to-date overview of the GNSS error effects and a comprehensive description of the mathematical models
  • Various statistical tests and methods of time series analysis are included, which can be applied in other research fields

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Introduction

    • Xiaoguang Luo
    Pages 1-6
  3. Mathematical Background

    • Xiaoguang Luo
    Pages 7-53
  4. Mathematical Models for GPS Positioning

    • Xiaoguang Luo
    Pages 55-116
  5. Data and GPS Processing Strategies

    • Xiaoguang Luo
    Pages 117-136
  6. Results of SNR-Based Observation Weighting

    • Xiaoguang Luo
    Pages 163-191
  7. Residual-Based Temporal Correlation Modelling

    • Xiaoguang Luo
    Pages 193-225
  8. Conclusions and Recommendations

    • Xiaoguang Luo
    Pages 289-293
  9. Back Matter

    Pages 295-331

About this book

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.

Reviews

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)

Authors and Affiliations

  • , Geodetic Institute, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany

    Xiaoguang Luo

About the author

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access