On the integer normal distribution of the GPS ambiguities.
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Carrier phase ambiguity resolution is the key to fast and high precision GPS kinematic positioning. Critical in the application of ambiguity resolution is the quality of the computed integer ambiguities. Unsuccessful ambiguity resolution, when passed unnoticed, will too often lead to unacceptable errors in the positioning results. In order to describe the quality of the integer ambiguities, their distributional properties need to be known. This contribution introduces the probability mass function of the integer least-squares ambiguities. This integer normal distribution is needed in order to infer objectively whether or not ambiguity resolution can eexpected to be successful. Some of its properties are discussed. Attention is given in particular to the probability of correct integer estimation. Various diagnostic measures are presented for evaluating this probability.
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Arora, Balwinder Singh (2012)The precise positioning applications have long been carried out using dual frequency carrier phase and code observables from the Global Positioning System (GPS). The carrier phase observables are very precise in comparison ...
Teunissen, Peter (1998)This contribution presents the probability distribution of the 'fixed' GPS baseline. This is the baseline which is used in fast and high precision GPS kinematic positioning. It follows from an ambiguity resolution process ...
Teunissen, Peter (2003)Carrier phase ambiguity resolution is the key to high precision Global Navigation Satellite System (GNSS) positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and ...