Mathematical Modelling of The Global Positioning System Tracking Signals

Recently, there has been increasing interest within the potential user community of Global Positioning System (GPS) for high precision navigation problems such as aircraft non precision approach, river and harbor navigation, real-time or kinematic surveying. In view of more and more GPS applications, the reliability of GPS is at this issue.The Global Positioning System (GPS) is a space-based radio navigation system that provides consistent positioning, navigation, and timing services to civilian users on a continuous worldwide basis. The GPS system receiver provides exact location and time information for an unlimited number of users in all weather, day and night, anywhere in the world.The work in this thesis will mainly focusson how to model a Mathematical expression for tracking GPS Signal using Phase Locked Loop filter receiver.Mathematical formulation of the filter are of two types: the first order and the second order loops are tested successivelyin order to find out a compromised on which one best provide a zero steady state error that will likely minimize noise bandwidth to tracks frequency modulated signal and returns the phase comparator characteristic to the null point…


1 Introduction
1.1 Introduction
1.2 GPS Overview
1.3 Motivation
1.4 Scope and Objective
1.5 Thesis Structure
2 Modeling of GPS Tracking Signals
2.1 GPS Signal Structure
2.2 Basic Phase-Locked Loops
2.2.1 First-Order Phase-Locked Loop
2.2.2 Second-Order Phase-Locked Loop
2.3 Z-Transform of Continuous Systems
2.4 Carrier and Code Tracking
2.5 GPS Tracking Loop Signals
2.6 Conclusion
3 Numerical Method of GPS Tracking Signal
3.1 Introduction
3.2 Numerical Expression of The Coordinates
3.3 Numerical Solution Using Mathematica
4 Global Position Systems Applications
4.1 Introduction
4.2 GPS for The Utilities Industry
4.3 GPS for Civil Engineering Applications
4.4 GPS for Land Seismic Surveying
4.5 GPS for Marine Seismic Surveying
4.6 GPS for Vehicle Navigation
4.7 GPS for Transit Systems
Bibliography 33
A GPS Source Code for Data Acquisition

Author: Mounchili Mama

Source: Blekinge Institute of Technology

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