Abstract
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.
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