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Equivalence of GPS Algorithms and Its Inference

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Sciences of Geodesy - I

Abstract

In the past decade of GPS research, advantages and disadvantages of the differential and un-differential GPS have been discussed in detail in many publications. First in 2002 it was algebraically pointed out that the un-differential and differential algorithms of GPS are equivalent (Xu 2002a). Various combined and uncombined methods of GPS algorithms were discussed in detail too to show the advantages of some combining ways. However, again the combined and uncombined algorithms were proved to be equivalent (Xu et al.2006a, 2007). The equivalence principle can now be easily explained and accepted, because the used GPS data and model are the same and the used adjustment principle is also the same. The information contents are the same; therefore the results one may obtain should also be equivalent.

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Acknowledgements

This study is under the framework of the internal GPS/Galileo study program of GFZ Potsdam and is partly supported by the Overseas Outstanding Chinese Scholar Fund of the Chinese Academy of Sciences hosted by the Institute of Geodesy and Geophysics in Wuhan in cooperation with co-authors.

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Correspondence to Guochang Xu .

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Xu, G. et al. (2010). Equivalence of GPS Algorithms and Its Inference. In: Xu, G. (eds) Sciences of Geodesy - I. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11741-1_7

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