Exact Formula For User Range Error in Wide Area Differential GPS

Henry Beisner and Arthur Dorsey

Abstract:	A wide area differential GPS system is defined with GPS satellite orbits and a network of reference station locations. For routinely attained GPS ephemeris accuracies, a Service Volume Model shows that the ephemeris component of user range error is negligible. Given such GPS ephemeris accuracies and a subset of satellites observed by all reference stations, an exact expression is derived for the covariance matrix of the reference station and satellite clock biases. The clock covariance matrix is used to derive an exact expression for user range error: (3 - -=02Y where (J Meas. is the pseudorange measurement error and M is the number of reference stations. This establishes a lower bound on user range error. Expressions are derived for: reference station and satellite clock bias estimation errors, time transfer error to a user, and time transfer error to a surveyed user.
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:	685 - 693
Cite this article:	Beisner, Henry, Dorsey, Arthur, "Exact Formula For User Range Error in Wide Area Differential GPS," 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. 685-693.
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