Uncertainties in GPS Positioning: A Mathematical Discourse describes the calculations performed by a GPS receiver and the problems associated with ensuring that the derived location is a close match to the actual location. Inaccuracies in calculating a location can have serious repercussions, so this book is a timely source for information on this rapidly evolving technology. Covers how a GPS receiver works and how the earth is modeled so position data can be calculatedDiscusses the different signals and clock speeds of the satellites, the receivers, and sources of inaccuracyExamines how the errors are distributed in the data and provides examples INDICE: Chapter 1 - Introduction The rudiments of what a GPS receiver is from a user's perspective. The problems that can arise (have arisen) by a receiver inaccurately calculating a location. Chapter 2 - How the Earth is Modelled Describes how the shape of the earth is approximated in the mathematical calculations. The satellites that make up the GPS system. The axis system that is commonly used. Chapter 3 - Signals from Satellites to Receiver The type of clock used by a satellite and the type of clock used by a receiver. The mathematical notation used for denoting distance from a receiver to a satellite, the speed of light, a pseudo-distance, etc. A list of the physical phenomena that can affect the distance calculation. Chapter 4 - Solution of an Idealised Problem Describes how a receiver position can be calculated accurately given the exact position of at least four satellites and the exact pseudo-distances. The complete calculation for example data. Chapter 5 - Sources of Inaccuracy Explains why a satellite's position is not known precisely. Explains why a pseudo distance is not known precisely. Explains other sources of inaccuracy Chapter 6 - Real Data Shows actual data that is available and from which a receiver must calculate its location. Chapter 7 - Error Distribution in Data Describes what can be said about how the errors are distributed for each item of data - a satellite location, a pseudo distance, etc. Give examples of probability distributions for satellite location, pseudo-distance, etc. Chapter 8 - Interdependence of Factors Describes how the various factors that figure in the calculations depend on one another. Describes how, in order to simplify calculations, two dependent factors may be treated as independent factors.
- ISBN: 978-0-12-809594-2
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 198
- Fecha Publicación: 15/01/2017
- Nº Volúmenes: 1
- Idioma: Inglés