Disclosed are methods and apparatuses for determining the position of a
roving receiver in a coordinate system using at least two base-station receivers,
which are located at fixed and known positions within the coordinate system. The
knowledge of the precise locations of the base-station receivers makes it possible
to better account for one or all of carrier ambiguities, receiver time offsets,
and atmospheric effects encountered by the rover receiver, and to thereby increase
the accuracy of the estimated receiver position of the rover. Baselines are established
between the rover and each base-station, and baselines are established between
the base stations. Navigation equations, which have known quantities and unknown
quantities, are established for each baseline. Unknowns for the baseline between
base stations are estimated, and then used to correlate and reduce the number of
unknowns associated with rover baselines, thereby improving accuracy of the rover's
estimated position.