A Probabilistic Evaluation of Correct GPS Ambiguity Resolution

Peter J.G. Teunissen, Dennis Odijk and Peter Joosten

Abstract: GPS ambiguity resolution is the process of resolving the unknown cycle ambiguities of double differenced carrier phase data as integers. It is the key to high-precision rela-tive GPS positioning when only short observation time spans are used. Once the integer ambiguities have been resolved, the carrier phase measurements will start to act as if they were high-precision pseudorange measurements, thereby allowing the remaining parameters (e.g. baseline coordinates) to be estimated with a comparable high pre-cision. The chance of successful ambiguity resolution can be in-ferred once the probability mass function of the integer ambiguities is known. In this contribution we will present and evaluate the probability of correct integer ambiguity estimation. This will be done for two different integer es-timators. They are the integer rounding estimator and the integer bootstrapped estimator, both of which are of rele-vance to ambiguity resolution, in particular after the decorrelation process of the LAMBDA method has been applied, Teunissen (1993). As a result easy-to-use prob-ability measures are presented which as diagnostics com-plement existing methods of ambiguity resolution. These measures will be used to evaluate the strength of the ge-ometry-free GPS model for different measurement sce-narios.
Published in: Proceedings of the 11th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1998)
September 15 - 18, 1998
Nashville, TN
Pages: 1315 - 1323
Cite this article: Teunissen, Peter J.G., Odijk, Dennis, Joosten, Peter, "A Probabilistic Evaluation of Correct GPS Ambiguity Resolution," Proceedings of the 11th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1998), Nashville, TN, September 1998, pp. 1315-1323.
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