A methodology to compute GPS slant total delays in a numerical weather model

Zus, Florian, Bender, Michael, Deng, Zhiguo, Dick, Galina, Heise, Stefan, Shangguan, Ming and Wickert, Jens (2012) A methodology to compute GPS slant total delays in a numerical weather model Radio Science, 47 (2). RS2018. DOI 10.1029/2011RS004853.

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A numerical algorithm based on Fermat's Principle was developed to simulate the propagation of Global Positioning System (GPS) radio signals in the refractivity field of a numerical weather model. The unique in the proposed algorithm is that the ray-trajectory automatically involves the location of the ground-based receiver and the satellite, i.e. the posed two-point boundary value problem is solved by an implicit finite difference scheme. This feature of the algorithm allows the fast and accurate computation of the signal travel-time delay, referred to as Slant Total Delay (STD), between a satellite and a ground-based receiver. We provide a technical description of the algorithm and estimate the uncertainty of STDs due to simplifying assumptions in the algorithm and due to the uncertainty of the refractivity field. In a first application, we compare STDs retrieved from GPS phase-observations at the German Research Centre for Geosciences Potsdam (GFZ STDs) with STDs derived from the European Center for Medium-Range Weather Forecasts analyses (ECMWF STDs). The statistical comparison for one month (August 2007) for a large and continuously operating network of ground-based receivers in Germany indicates good agreement between GFZ STDs and ECMWF STDs; the standard deviation is 0.5% and the mean deviation is 0.1%.

Document Type: Article
Keywords: GPS slant total delay; fast and accurate ray tracing; numerical weather model
Research affiliation: GFZ
Refereed: Yes
DOI etc.: 10.1029/2011RS004853
ISSN: 00486604
Date Deposited: 09 Dec 2014 06:59
Last Modified: 09 Dec 2014 06:59
URI: http://eprints.uni-kiel.de/id/eprint/26357

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