Off-line segmentation of GPS signal tracking using a Bayesian approach

We present in this article an off-line Bayesian estimation method for the segmentation of piecewise linear processes. The estimation is defined as a penalized contrast function with a first term related to the observations and a term of penalty deduced from the prior law of change instants. This technique is used for the distance estimation between a satellite and a navigation receiver. The distance determination is performed by the delay measure of a signal propagation time emitted by the satellite. For the delay evaluation, a discriminator signal is calculated from the correlation between a code contained in the signal and the same code generated by the receiver at the same instant. The method we propose is applied to these discriminator measurements. It makes possible to precisely reconstitute the delay evolution rather than providing it sequentially. Our work´s contribution is shown on synthetic and real data