GPS signal diffraction modelling: the stochastic SIGMA-δ model |
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Authors: | F K Brunner H Hartinger L Troyer |
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Institution: | (1) Engineering Surveying and Metrology, Technical University Graz, Steyrergasse 30, 8010 Graz, Austria e-mail: brunner@aig.tu-graz.ac.at; Tel.: +43 316 873 6321; Fax: +43 316 83 1793, AT |
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Abstract: | The SIGMA-Δ model has been developed for stochastic modelling of global positioning system (GPS) signal diffraction errors
in high precision GPS surveys. The basic information used in the SIGMA-Δ model is the measured carrier-to-noise power-density
ratio (C/N0). Using the C/N0 data and a template technique, the proper variances are derived for all phase observations. Thus the quality of the measured
phase is automatically assessed and if phase observations are suspected to be contaminated by diffraction effects they are
weighted down in the least-squares adjustment. The ability of the SIGMA-Δ model to reduce signal diffraction effects is demonstrated
on two static GPS surveys as well as on a kinematic high-precision GPS railway survey. In cases of severe signal diffraction
the accuracy of the GPS positions is improved by more than 50% compared to standard GPS processing techniques.
Received: 27 July 1998 / Accepted: 1 March 1999 |
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Keywords: | , Precise GPS surveying,GPS signal diffraction,Carrier-to-noise power-density ratio,Precision of phase data |
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