Abstract: A GNSS receiver includes an antenna receiving GNSS signals from a plurality of GNSS satellites; a plurality of channels, each channel processing a single GNSS signal from a single GNSS satellite, and outputting a pseudo-phase of a signal carrier frequency of the single GNSS signal; a block for solving the navigation task based on the pseudo-phases of multiple GNSS signals; each channel including a detector of shadowing of the corresponding GNSS signal; each channel including a weight calculator specifying a relative weight of the single GNSS signal in solving of the navigation task; and each channel including a circuit for recovering a tracking of the shadowed GNSS signal once the shadowing ends. The recovering includes generating guiding indications that enable reducing a time to re-acquire the shadowed GNSS signal.