Uncertainties in GPS Positioning

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 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

• List of Figures
• List of Tables
• Preface
• 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
  • GLONASS
  • 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
  • GLONASS
  • 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
• Bibliography
• Index