Intro; Preface; Contents; Acronyms; 1 Introduction and Book Objectives; 1.1 GNSS for Safety of Life Applications; 1.2 The Concept of Integrity in Satellite Navigation; 1.3 From Aviation to the Railway Transportation Domain; 1.4 Objectives; References; Part I GNSS Integrity; 2 Review of Common Navigation Algorithms and Measurements Errors; 2.1 Methods for Position Velocity and Time (PVT) Computation; 2.1.1 Least Square Solution; 2.1.2 Geometric Interpretation of Least Square Solution Using Orthogonal Subspaces; 2.1.3 Weighted Least Square Solution and Subspace Projection.
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2.1.4 Covariance Matrix2.1.5 Errors Due to the Receiving Hardware and Local Environment; References; 3 Fundamentals of Integrity Monitoring; 3.1 Evaluation of the Confidence Interval in an AWGN Model; 3.1.1 PL of a Single Coordinate, in Case of Zero-Mean Gaussian Position Error; 3.1.2 Verification of the AWGN Model; 3.1.3 Introduction to RAIM; 3.2 Fault Detection in the Range Domain; 3.2.1 Range Residual Method; 3.2.2 Parity Method; 3.2.3 Computation of the Decision Threshold for the AWGN Model; 3.3 Fault Detection and Exclusion in the Position Domain.
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3.3.1 Solution Separation with a Single Fault3.3.2 Bias Estimator; 3.3.3 Solution Separation Test with a Generic Number of Faults; 3.4 Comparison Between Methods in the Range and in the Position Domains; 3.5 Residual and Solution Separation Tests: Geometric Interpretation and Efficient Implementation; 3.5.1 Efficient Implementation in Single Fault Case; 3.5.2 Efficient Implementation in Double Fault Case; 3.6 Conclusions; References; 4 Evaluation of the Confidence Intervals; 4.1 Confidence Interval in the Case of a Single Fault; 4.1.1 Alert Limit, Integrity Risk, and Protection Level.
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4.1.2 The Effect of Bias in a Single Satellite4.1.3 Confidence Interval Computation in a Slope-Based RAIM; 4.1.4 Fault Detection Algorithms in a Slope-Based RAIM; 4.2 Method to Evaluate an Upper Bound for PL; 4.2.1 Nominal and Faulty Conditions: Binary Hypothesis Case; 4.2.2 Hypothesis mathscrHa: Error Model Based on Non Zero Mean Gaussian PDF; 4.2.3 Confidence Interval in the Case of Multiple Faults; 4.2.4 Estimation of the Mean of the Gaussian Error Model; 4.2.5 Modelling of the Variance of the Gaussian Error Model; 4.2.6 Fault Tree; 4.3 Stanford Plot; 4.4 Final Remarks on RAIM Algorithms.
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SUMMARY OR ABSTRACT
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This book proposes a general methodology to introduce Global Navigation Satellite System (GNSS) integrity, starting from a rigorous mathematical description of the problem. It highlights the major issues that designers need to resolve during the development of GNSS-based systems requiring a certain level of confidence on the position estimates. Although it follows a general approach, the final chapters focus on the application of GNSS integrity to rail transportation, as an example. By describing the main requirements in the context of train position function, one of which is the safe function of any train control system, it shows the critical issues associated with the concept of safe position integrity. In particular, one case study clarifies the key differences between the avionic domain and the railway domain related to the application of GNSS technologies, and identifies a number of railway-signaling hazards linked with the use of such technology. Furthermore, it describes various railway-signaling techniques to mitigate such hazards to prepare readers for the future evolution of train control systems, also based on the GNSS technology. This unique book offers a valuable reference guide for engineers and researchers in the fields of satellite navigation and rail transportation.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783319790848
OTHER EDITION IN ANOTHER MEDIUM
Title
GNSS for rail transportation.
International Standard Book Number
9783319790831
PARALLEL TITLE PROPER
Parallel Title
Global Navigation Satellite System for rail transportation
TOPICAL NAME USED AS SUBJECT
Global Positioning System.
Railroads.
Expert systems-- knowledge-based systems.
Geographical information systems (GIS) & remote sensing.