GPS Solutions · 2010 · 146 citations · 32 references
EngineeringAerospace EngineeringGeodesyGlobal Navigation Satellite SystemsSurveyingAttitude DeterminationCarrier Phase Ambiguity ResolutionAmbiguity Resolution In Attitude DeterminationAttitude Determination AlgorithmsAttitude Determination SystemsCarrier Phase CorrectionsCarrier Phase MeasurementCarrier Phase PositioningInteger Ambiguity Resolution With Gps Carrier PhaseInteger Programming Constraints
Global navigation satellite system (GNSS) ambiguity resolution is the process of resolving the unknown cycle ambiguities of the carrier phase data as integers. The sole purpose of ambiguity resolution is to use the integer ambiguity constraints as a means of improving significantly on the precision of the remaining GNSS model parameters. In this contribution, we consider the problem of ambiguity resolution for GNSS attitude determination. We analyse the performance of a new ambiguity resolution method for GNSS attitude determination. As it will be shown, this method provides a numerically efficient, highly reliable and robust solution of the nonlinearly constrained integer least-squares GNSS compass estimators. The analyses have been done by means of a unique set of extensive experimental tests, using simulated as well as actual GNSS data and using receivers of different manufacturers and type as well as different platforms. The executed field tests cover two static land experiments, one in the Netherlands and one in Australia, and two dynamic experiments, a low-dynamics vessel experiment and high-dynamics aircraft experiment. In our analyses, we focus on stand-alone, unaided, single-frequency, single-epoch attitude determination, as this is the most challenging case of GNSS compass processing.
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An optimality property of the integer least-squares estimator
P. J. G. Teunissen · Journal of Geodesy · 1999 · 465 citations
Integer least-squares theory for the GNSS compass
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The Lambda Method for the GNSS Compass
P. J. G. Teunissen · Artificial Satellites · 2006 · 146 citations · Full text