Call number:
S 99.0139(370)
In:
Wissenschaftliche Arbeiten der Fachrichtung Geodäsie und Geoinformatik der Leibniz Universität Hannover
Type of Medium:
Series available for loan
Pages:
x, 126 Seiten
,
Illustrationen, Diagramme
ISBN:
978-3-7696-5286-4
,
9783769652864
ISSN:
0174-1454
Series Statement:
Wissenschaftliche Arbeiten der Fachrichtung Geodäsie und Geoinformatik der Leibniz Universität Hannover Nr. 370
Language:
English
Note:
Contents
1 Introduction
1.1 Motivation
1.2 Objective & Research Questions
1.3 Outline of the Thesis
2 Related Work and Theory
2.1 GNSS Positioning
2.1.1 GNSS Constellations
2.1.2 Position Estimation
2.1.3 Measurement Errors in GPS Measurements
2.2 Reliability
2.3 Integrity
2.3.1 Conventional RAIM
2.3.2 Advanced RAIM
2.3.3 Augmentation Systems
2.3.4 Derivation of Conventional RAIM
2.3.5 Protection Level
2.4 Interval Mathematics
2.4.1 Basic Interval Mathematical Operations
2.4.2 Interval Vectors and Matrices
2.4.3 Interval Functions
2.4.4 Set Inversion via Interval Analysis
2.4.5 Contractors
2.4.6 Application of Interval Analysis to Navigation
2.5 Determination of Observation Interval Bounds
2.5.1 Probabilistic Approaches with a Priori Integrity Risk
2.5.2 Sensitivity Analysis of the Measurement Correction
2.5.2.1 Concept
2.5.2.2 Klobuchar Ionospheric Model
2.5.2.3 Saastamoinen Tropospheric Model
2.5.3 Expert Knowledge and Desired Size of the Bounding Zone
3 Integrity Approaches Based on Interval Mathematics and Set Theory
3.1 Interval Extension of Least-Squares Adjustment
3.2 Set Inversion Via Interval Analysis
3.3 Linear Programming Bounding Method
3.4 Developed Method Based on Primal-Dual Poly tope and Intervals
3.4.1 Polytopes and Zonotopes
3.4.2 Formulation and Methodology
3.4.3 Interpretation of Bounding Zones and Related Consistency Measures
3.4.4 Minimum Detectable Bias Definition
3.4.5 Integrity Measures Via Zonotopes and Polytopes
4 Performance Analysis of the Developed Methods by Monte Carlo Simulations
4.1 Introduction
4.2 Characterization of a Nominal Behavior
4.3 Proposal to Select the Critical Value of the Polytope Tests
4.4 Impact of Biases
4.4.1 Introductory Example
4.4.2 Impact of Different Biased Satellites and Observation Interval Bounds
4.4.3 Impact of Different Biased Satellites and Satellite Geometry
4.5 Analysis of the Polytope Global and Local Tests
4.5.1 General Proceeding
4.5.2 Critical Detection Scenarios - Correlated Satellites
4.5.3 Critical Detection Scenarios - Bad Geometry
4.6 Probabilistic Test Statistic Results
4.6.1 Results of Probabilistic Test Statistics
4.7 Comparison Between Probabilistic Tests and Polytopal Test
4.7.1 Good Satellite Geometry
4.7.2 Bad Satellite Geometry
4.8 Analysis of Protection Levels
4.8.1 Zonotopal Horizontal and Vertical Protection Levels
4.8.2 Statistical Based Horizontal and Vertical Protection Level
5 Real Data Analysis
5.1 Introduction
5.2 Positioning Analysis
5.2.1 Results from Scenario 1 - Urban Area
5.2.2 Results from Scenario 2 - Semi-Urban Area
5.3 Fault Detection and Exclusion
5.4 Minimum Detectable Bias
5.5 Protection Level
6 Conclusions and Outlook
Bibliography
Acknowledgments
Curriculum Vitae
Location:
Lower compact magazine
Branch Library:
GFZ Library
