GPS: Theory, Algorithms and Applications, 3rd Edition

This reference and handbook describes theory, algorithms and applications of the Global Positioning System (GPS/Glonass/Galileo/Compass). It is primarily based on source-code descriptions of the KSGsoft program developed at the GFZ in Potsdam. The theory and algorithms are extended and verified for a new development of a multi-functional GPS/Galileo software. Besides the concepts such as the unified GPS data processing method, the diagonalisation algorithm, the adaptive Kalman filter, the general ambiguity search criteria, and the algebraic solution of variation equation reported in the first edition, the equivalence theorem of the GPS algorithms, the independent parameterisation method, and the alternative solar radiation model reported in the second edition, the modernisation of the GNSS system, the new development of the theory and algorithms, and research in broad applications are supplemented in this new edition. Mathematically rigorous, the book begins with the introduction, the basics of coordinate and time systems and satellite orbits, as well as GPS observables, and deals with topics such as physical influences, observation equations and their parameterisation, adjustment and filtering, ambiguity resolution, software development and data processing and the determination of perturbed orbits.

Table of Contents

Chapter 1 Introduction
Chapter 2 Coordinate and Time Systems
Chapter 3 Satellite Orbits
Chapter 4 GPS Observables
Chapter 5 Physical Influences of GPS Surveying
Chapter 6 GPS Observation Equations and Equivalence Properties
Chapter 7 Adjustment and Filtering Methods
Chapter 8 Cycle Slip Detection and Ambiguity Resolution
Chapter 9 Parameterisation and Algorithms of GPS Data Processing
Chapter 10 Applications of GPS Theory and Algorithms
Chapter 11 Perturbed Orbit and Its Determination
Chapter 12 Singularity-Free Orbit Theory
Chapter 13 Discussions
Appendix A: IAU 1980 Theory of Nutation
Appendix B: Numerical Examples of the Diagonalisation of the Equations