Uncertainties in GPS Positioning

Uncertainties in GPS Positioning

A Mathematical Discourse

1st Edition - January 16, 2017

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  • Author: Alan Oxley
  • eBook ISBN: 9780128097878
  • Paperback ISBN: 9780128095942

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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.

Key Features

  • Covers how a GPS receiver works and how the earth is modeled so position data can be calculated
  • Discusses the different signals and clock speeds of the satellites, the receivers, and sources of inaccuracy
  • Examines how the errors are distributed in the data and provides examples


Individuals interested in GPS. University students and researchers in maths related to GPS

Table of Contents

  • Chapter 1: Positioning and Navigation Systems

    • Abstract
    • Navigation
    • Wireless Positioning Systems
    • Positioning Techniques
    • Limits in the Accuracy of Wireless Positioning
    • Innovative Positioning Techniques

    Chapter 2: Introduction to GPS

    • Abstract
    • Satellite-Based Systems
    • GPS
    • Surveying
    • Location-Based Services
    • Map Making
    • Sports Data
    • Uncertainty in GPS Positioning
    • GNSSs Usage Patterns
    • Nonpositioning Uses of GPS
    • Estimating the Distance to a Golf Flagstick
    • Receiver Specifics
    • An Interesting Aside

    Chapter 3: Basic GPS Principles

    • Abstract
    • Clocks
    • Ground Segment
    • Space Segment
    • User Segment
    • GPS Services
    • Performance of GPS
    • Galileo
    • Referencing a Position
    • Satellites in Orbit
    • Navigation Signals
    • Differential Positioning
    • Relativity
    • The Ionosphere and the Troposphere
    • Ionospheric Scintillation

    Chapter 4: Signals From Satellites to Receiver—GPS

    • Abstract
    • GPS Signal Structure

    Chapter 5: GPS Modernization

    • Abstract
    • Frequency Plan
    • Multiple Access
    • Improved Pseudodistance Calculations
    • GPS Receiver

    Chapter 6: Signals From Satellites to Receiver—Other Satellite Navigation Systems

    • Abstract
    • Galileo Signal Structure
    • Compass/BeiDou and Regional GPSSs

    Chapter 7: Solution of an Idealized Problem

    • Abstract
    • The Competition
    • Solutions
    • Solutions to Problem 1
    • Suggested Result
    • Note on Problem Posed
    • Problem 1: Methodology
    • Solution to Problem 2

    Chapter 8: Sources of Inaccuracy

    • Abstract
    • Deliberate Interference With GPS Signals
    • Degradation of Physical Equipment
    • Other Vulnerabilities
    • Inertial Navigation System
    • Accuracy
    • Errors and Error Corrections
    • Ground Segment
    • Space Segment
    • User Segment
    • Signal Propagation
    • Ranging and Positioning
    • GPS UERE Budgets
    • Differential Positioning

    Chapter 9: Learning From Experience

    • Abstract
    • Studying Past Data
    • Mitigating Risks
    • Reducing Error Magnitudes When Surveying

    Chapter 10: Error Distribution in Data

    • Abstract
    • Solutions
    • Suggested Result
    • Supplementary Result
    • Problem 2: Methodology

    Chapter 11: Improving Accuracy With GPS Augmentation

    • Abstract
    • Using Two GNSSs
    • Other Augmentation Systems and Assisted GNSS

    Chapter 12: GPS Disciplined Oscillators

    • Abstract
    • How a GPSDO Works
    • GPSDO Performance
    • Choosing Between a GPSDO and a Rubidium or Cesium Standard

    Appendix A: Calibration of a GPS Receiver Used as a Time Reference

    Appendix B: Comparing Time and Frequency Standards Between Laboratories

    Appendix C: Calibration of GPS Receivers: Comparing Laboratories

    Appendix D: Possible Use of a GPS Receiver as an Acceleration Sensor

    Appendix E: Notes on the Error Distribution in Data

    • Problem 2: Notes

Product details

  • No. of pages: 198
  • Language: English
  • Copyright: © Academic Press 2017
  • Published: January 16, 2017
  • Imprint: Academic Press
  • eBook ISBN: 9780128097878
  • Paperback ISBN: 9780128095942

About the Author

Alan Oxley

Alan Oxley is Professor of Computer and Information Sciences at Universiti Teknologi PETRONAS in Malaysia. Alan is an all-rounder in Computer Science and has written numerous academic articles and chapters. Recently he was awarded a research stipend by the IBM Center for the Business of Government. The research led to the publication of the report entitled A Best Practices Guide for Mitigating Risk in the Use of Social Media. A considerably more expansive exposition of the topic is presented in this book.

Affiliations and Expertise

Universiti Teknologi PETRONAS, Malaysia

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