Title: To What Extent can Standard GNSS Ambiguity Resolution Methods be used for Single-Frequency Epoch-by-Epoch Attitude Determination?
Author(s): P.J.G. Teunissen, G. Giorgi
Published in: Proceedings of the 22nd International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS 2009)
September 22 - 25, 2009
Savannah International Convention Center
Savannah, GA
Pages: 235 - 242
Cite this article: Teunissen, P.J.G., Giorgi, G., "To What Extent can Standard GNSS Ambiguity Resolution Methods be used for Single-Frequency Epoch-by-Epoch Attitude Determination?," Proceedings of the 22nd International Technical Meeting of The Satellite Division of the Institute of Navigation (ION GNSS 2009), Savannah, GA, September 2009, pp. 235-242.
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Abstract: In this contribution we study and compare the strength of three different GNSS models for carrier-phase attitude determination. These models are (1) the unconstrained GNSS model, (2) a linear(ized) constrained GNSS model, and (3) a nonlinear constrained GNSS model. The latter model is the baseline-length constrained GNSS model, while the second model is its linearized version. The strongest of the three models is the third. The advantage of the first model is, however, that one can apply any standard ambiguity resolution (AR) method to it. This is not true for the third model, as special precautions need to be taken in order to rigorously incorporate the nonlinear constraints. The strength of the second model approaches that of the third if the nonlinearity is negligible. The constrained LAMBDA method has been developed for the third model, while the standard LAMBDA method can be directly applied to the first and the second model. We show the preferred method for different measurement scenarios and different baseline lengths. With our results, a user will be able to determine for which baseline length he/she needs to switch from the standard LAMBDA method to the more advanced constrained version. In our results we emphasize the most challenging case, which is the single-frequency, epoch-by-epoch, unaided GNSS attitude determination.