The Bayesian approach applied to GPS ambiguity resolution. A mixture model for the discrete-real ambiguities alternative

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.