A Gaussian sum filtering approach for phase ambiguity resolution in GPS attitude determination

The problem of phase ambiguity resolution and ltering for interferometric GPS attitude determination is considered. Traditionally, the resolution of the phase ambiguity and the ltering stages were performed separately, with the lter formulated on the basis that the phase ambiguity is correctly resolved. Should the pre-processing stage not resolve the ambiguity correctly, erroneous results may occur. In response, a uni ed solution is proposed in which the ambiguity resolution and ltering processes are combined under a Gaussian Sum Filtering (GSF) framework. The GSF naturally accounts for the measurement ambiguity by generating multi-modal probability densities, which leads to a probabilistic interpretation of the attitude estimates. Simulations are performed to illustrate the e ectiveness and functionality of the proposed solution.