Data-Driven Generalized Integer Aperture Bootstrapping for High-Integrity Positioning

A new method is developed for integer ambiguity resolution in carrier-phase differential global navigation satellite system positioning. The method is novel in that it is simultaneously data-driven, generalized to include partial ambiguity resolution, and amenable to a full analytical characterizati...

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Bibliographic Details
Published in:IEEE transactions on aerospace and electronic systems 2019-04, Vol.55 (2), p.757-768
Main Authors: Green, Gary Nathan, Humphreys, Todd E.
Format: Article
Language:English
Subjects:
Ambiguity resolution (mathematics)
Antenna measurements
Apertures
Availability
bootstrap
carrier-phase differential global navigation satellite system (CDGNSS)
Computer simulation
Conditional probability
data-driven
generalized integer aperture (GIA)
Global navigation satellite system
Integrity
least squares AMBiguty decorrelation adjustment (LAMBDA)
Monte Carlo methods
Monte Carlo simulation
Navigation satellites
Noise measurement
Open area test sites
partial ambiguity resolution (PAR)
Phase measurement
Probability
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Description
Summary:A new method is developed for integer ambiguity resolution in carrier-phase differential global navigation satellite system positioning. The method is novel in that it is simultaneously data-driven, generalized to include partial ambiguity resolution, and amenable to a full analytical characterization of the prior probabilities of correctly and incorrectly resolved ambiguities. The technique is termed generalized integer aperture bootstrapping (GIAB). A full development of the GIAB is provided herein, including sizing its integer aperture to usually produce a higher prior probability of full ambiguity resolution than comparable existing methods. In Monte-Carlo simulations, the GIAB is shown to provide nearly optimal ambiguity resolution success rates of full ambiguity resolution for relevant integrity requirements under strong models while enabling partial ambiguity resolution.
ISSN:0018-9251
1557-9603
DOI:10.1109/TAES.2018.2864770