Algorithms for Global Positioning

A mathematical guide to the algorithmic aspects of GPS, complete with numerous ready-made MATLAB codes for the reader.

Gilbert Strang (Author), Kai Borre (Author)

9780980232738, Wellesley

Hardback, published 10 May 2012

450 pages
26 x 18.2 x 2.5 cm, 0.98 kg

The emergence of satellite technology has changed the lives of millions of people. In particular, GPS has brought an unprecedented level of accuracy to the field of geodesy. This text is a guide to the algorithms and mathematical principles that account for the success of GPS technology and replaces the authors' previous work, Linear Algebra, Geodesy, and GPS (1997). An initial discussion of the basic concepts, characteristics and technical aspects of different satellite systems is followed by the necessary mathematical content which is presented in a detailed and self-contained fashion. At the heart of the matter are the positioning algorithms on which GPS technology relies, the discussion of which will affirm the mathematical contents of the previous chapters. Numerous ready-to-use MATLAB codes are included for the reader. This comprehensive guide will be invaluable for engineers and academic researchers who wish to master the theory and practical application of GPS technology.

Preface and outline
Abbreviations
The mathematics of GPS
A GPS software receiver
Part I. Satellite Signals and Coordinate Systems: 1. Essential ideas and applications of GNSS
2. GNSS signals and modulations
3. Change of coordinate systems
Part II. Optimal Estimates: 4. Random variables and covariance matrices
5. Random processes
6. Linear algebra for weighted least squares
7. Singular normal equations and networks
8. Kalman filters
Part III. Positioning Algorithms: 9. Receiver position from one-way pseudoranges
10. Differences of one-way observations
Part IV. Geodesy and Earth Coordinates: 11. Geometry of the ellipsoid
12. Conformal mappings of the ellipsoid
Glossary
Bibliography
Index of M-files
Index.

Subject Areas: Computer science [UY], Computer networking & communications [UT], Algorithms & data structures [UMB], Satellite communication [TJKS]