A New Method for Constructing Multi-satellite Ambiguity Combinations for lmproved Ambiguity Resolution

Chris Rizos and Shaowei Han

Abstract:	Single-satellite ambiguity combinations constructed from Ll and L2 observations can create long wavelength ambiguities, a technique widely used in ambiguity resolution procedures. However, such combinations do not consider the geometric relations between all channel or satellite ambiguities and cannot be formed using single frequency data. Certain multi- satellite ambiguity combinations (sometimes referred to as “multi-channel” combinations) have useful properties, such as resulting in their real estimated ambiguities having minimal uncertainties and minimal correlations, This property has been successfully exploited by the LAMBDA approach (Teunissen, 1994). The conditions for the admissible class of linear combinations are that the combination ambiguities have integer values and that the original integer ambiguities can then be recovered. However, at present there is no consistent method for constructing multi-satellite ambiguity combinations. In this paper, the authors describe a new method for creating the transformation matrix to construct multi-satellite ambiguity combinations. The standard deviations of the real-valued ambiguity estimations are significantly smaller than the original and the computation of the transformation matrix is very efficient. This method has been implemented in a number of ambiguity search procedures, such as FARA, LSAST, the Cholesky decomposition method, FASF, and the LDLT decomposition method. Based on a comparison of these search methods the most efficient procedures are suggested.
Published in:	Proceedings of the 8th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1995) September 12 - 15, 1995 Palm Springs, CA
Pages:	1145 - 1153
Cite this article:	Rizos, Chris, Han, Shaowei, "A New Method for Constructing Multi-satellite Ambiguity Combinations for lmproved Ambiguity Resolution," Proceedings of the 8th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1995), Palm Springs, CA, September 1995, pp. 1145-1153.
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