The Bayesian approach applied to GPS ambiguity resolution. A mixture model for the discrete–real ambiguities alternative |
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| Authors: | M C de Lacy F Sansò G Rodriguez-Caderot A J Gil |
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| Institution: | (1) Facoltà di Ingegneria di Como, Politecnico di Milano, Italy, e-mail: clara@torno.ing.unico.it; Tel.: +39-0313327521 Fax: +39-0313327519, IT;(2) Sección Departamental Astrononomia y Geodesia, Facultad de CC. Matematicas, Universidad Complutense de Madrid, Spain e-mail: grc@mat.vcm.es, Tel.: +34-913944588 Fax: +34-913944607, ES;(3) Departamento Ingenieria Geodesica, Cartografica y Fotogrametria, Universidad de Jaen, Spain, e-mail: ajgil@ujaen.es Tel.: +34-953002467 Fax: +34-953012343, ES |
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| Abstract: | The problem of phase ambiguity resolution in global positioning system (GPS) theory is considered. The Bayesian approach
is applied to this problem and, using Monte Carlo simulation to search over the integer candidates, a practical expression
for the Bayesian estimator is obtained. The analysis of the integer grid points inside the search ellipsoid and their evolution
with time, while measurements are accumulated, leads to the development of a Bayesian theory based on a mathematical mixture
model for the ambiguity.
Received: 29 March 2001 / Accepted: 3 September 2001 |
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| Keywords: | : Mixture Model – Bayesian Approach – Monte Carlo Simulation – Ambiguity Resolution |
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