This thesis, elaborated in collaboration with Aizoon, has the finality of studying and applying advanced GNSS-based algorithms(specifically Weighted Least Squares(WLS), Kalman filtering, and GNSS/INS integration) with the intention of comparing their performance on mobile devices. In order to do this, first of all, there was a study of the state-of-the-art navigation algorithms. These algorithms are then applied on Matlab, using data recovered from smartphones(for the navigation data) and base stations across Italy(for the satellites' parameters). Other improvements to the algorithms are implemented, like the use of multiple GNSS constellations for the computation of the PVT solution and the ionospheric correction that can be applied to the pseudoranges and pseudorange rates.