Stochastic assessment of GPS carrier phase measurements for precise static relative positioning |
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| Authors: | J Wang C Satirapod C Rizos |
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| Institution: | (1) School of Surveying and Spatial Information Systems, University of New South Wales, Sydney, NSW 2052, Australia e-mail: jinling.wang@unsw.edu.au; Tel.: +61-2-9385-4203; Fax: +61-2-9313-7493, AU |
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| Abstract: | Global positioning system (GPS) carrier phase measurements are used in all precise static relative positioning applications.
The GPS carrier phase measurements are generally processed using the least-squares method, for which both functional and stochastic
models need to be carefully defined. Whilst the functional model for precise GPS positioning is well documented in the literature,
realistic stochastic modelling for the GPS carrier phase measurements is still both a controversial topic and a difficult
task to accomplish in practice. The common practice of assuming that the raw GPS measurements are statistically independent
in space and time, and have the same accuracy, is certainly not realistic. Any mis-specification in the stochastic model will
inevitably lead to unreliable positioning results. A stochastic assessment procedure has been developed to take into account
the heteroscedastic, space- and time-correlated error structure of the GPS measurements. Test results indicate that the reliability
of the estimated positioning results is improved by applying the developed stochastic assessment procedure. In addition, the
quality of ambiguity resolution can be more realistically evaluated.
Received: 13 February 2001 / Accepted: 3 September 2001 |
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| Keywords: | : GPS Carrier Phase – Stochastic Assessment – Relative Positioning |
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