The Volume of the GPS Ambiguity Search Space and its Relevance for Integer Ambiguity Resolution

P.J.G. Teunissen, P.J. de Jonge, and C.C.J.M. Tiberius

Abstract:	In the theory of integer least-squares ambiguity estima- tion and validation, a central role is played by the ambi- guity search space. In this contribution, the significance of the volume of the ambiguity search space is discussed and analyzed. It is shown how the volume can be used as an estimate for the number of grid points inside the GPS ambiguity search space. This is done for various measurement scenarios, each characterized by the use of different types of data redundancies. For these mea- surement scenarios, it is also shown how the volume can be used to appropriately scale the size of the ambiguity search space. This analysis is presented in the context of the Least-squares AMBiguity Decorrelation Adjust- ment (LAMBDA) method. In particular the low correla- tion and high precision of the transformed ambiguities as provided by the LAMBDA method, allow an appropri- ate down scaling of the search space. As a result, only a few candidate grid points are left in the ambiguity search space.
Published in:	Proceedings of the 9th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1996) September 17 - 20, 1996 Kansas City, MO
Pages:	889 - 898
Cite this article:	Teunissen, P.J.G., de Jonge, P.J., Tiberius, C.C.J.M., "The Volume of the GPS Ambiguity Search Space and its Relevance for Integer Ambiguity Resolution," Proceedings of the 9th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1996), Kansas City, MO, September 1996, pp. 889-898.
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