Optimal Search Space Identification for Instan-taneous Integer Cycle Ambiguity Resolution

Eric Sutton

Abstract:	GPS attitude determination systems use GPS phase measurements to determine the orientation of a baseline defined by two antennas. Since antenna separation is generally greater than one wavelength, there is an integer ambiguity for each satellite that must be determined before the orientation of the baseline can be calculated. Since the baseline length is precisely known, the initial integer ambiguity search seeks to identify all solutions that result in a baseline length close to the true baseline length. This paper presents an algorithm that uses the QR decomposition of the line of sight matrix to simplify the search. In addition, this paper presents methods to determine the parameters of the search so that the probability of rejecting the true solution is guaranteed to be less than some chosen value, and the number of false solutions can be controlled.
Published in:	Proceedings of the 10th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1997) September 16 - 19, 1997 Kansas City, MO
Pages:	313 - 322
Cite this article:	Sutton, Eric, "Optimal Search Space Identification for Instan-taneous Integer Cycle Ambiguity Resolution," Proceedings of the 10th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1997), Kansas City, MO, September 1997, pp. 313-322.
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