A base station GNSS receiver for determining the carrier phase measurements and a group of positions corresponding to the GNSS constellation in view, and a mobile station GNSS receivers, global positioning system, the mobile station GNSS receiver is single-frequency receiver is, in one frequency band from GNSS satellites multiple captures the GNSS satellite signals transmitted over the length of the acquisition window, the GNSS satellites more, the single-frequency receiver, the carrier phase data set is a sufficiently large number of satellites in order to supply, from the carrier phase data set, solutions of the carrier phase integer ambiguities related pluralism is determined. From capture these signals, the system determines the search space associated satellite of these within the field of view, the position uncertainty and the associated code phase delay group. System is determined using the double difference measurements group carrier phase related to signal power values above a predetermined threshold, the carrier phase integer ambiguities these. Determining as a solution a set of only over the length of the capture window, the carrier phase integer ambiguities are, with an accuracy of a few centimeters within the system carrier phase measurements determined the position of the mobile station GNSS receiver be determined using a set of values.
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