On the Spectrum of the GPS DD-Ambiguities

Peter Teunissen, Paul de Jonge, and Christiaan Tiberius

Abstract: One of the major problems in processing GPS phase ob- servations is estimating the double-difference (DD) am- biguities as integers. Based on carrier phase data only, short observational time spans result in strongly corre- lated ambiguities and in very elongated ambiguity con- fidence ellipsoids. As a result the estimation of the inte- ger least-squares ambiguities becomes an extremely time consuming task, when traditional search-methods are ap- plied. In this contribution, it will be shown both analyti- cally as well as numerically, that this can be explained by the distinctive discontinuity that is present in the spec- trum of conditional variances of the DD-ambiguities. In [ 11 a method has been introduced, that allows an efficient estimation of the integer ambiguities over short observa- tional time spans. This method removes the disconti- nuity from the spectrum, thereby returning transformed ‘ambiguities that are much less correlated and that show a dramatic improvement in precision. In this contribution the performance of the method will be demonstrated for a number of specific cases.
Published in: Proceedings of the 7th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1994)
September 20 - 23, 1994
Salt Palace Convention Center
Salt Lake City, UT
Pages: 115 - 124
Cite this article: Teunissen, Peter, de Jonge, Paul, Tiberius, Christiaan, "On the Spectrum of the GPS DD-Ambiguities," Proceedings of the 7th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 1994), Salt Lake City, UT, September 1994, pp. 115-124.
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