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

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