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A Preliminary Statistical Evaluation of GPS Static Relative Positioning

Teodoro, Filomena; Fernando M. Gonçalves

Progress in Industrial Mathematics at ECMI 2016, Quintela, P. et al. (eds.), ECMI book series of Mathematics in Industry, Subseries The European Consortium for Mathematics in Industry, Springer, 10.1007/978-3-319-63082-3 (2017),


The objective of this work is to evaluate GPS static relative positioning [3, 5, 6], regarding accuracy, as the equivalent of a real time cinematic (RTK) network and
to address the practicality of using either a CORS or a passive control point for providing accurate positioning control. The precision of an observed 3D relative position between two GNSS antennas, and how it depends on the distance between these antennas and on the duration of the observing session, was studied. We analyze the performance of the software for each of the six chosen ranges of length in each of the four scenarios created, considering different intervals of observation time. The relation between observing time and baseline length is established. In this work are applied different statistical techniques, such as data analysisn and elementary/intermediate inference level techniques [8] or multivariate analysis [9, 1].