A system and method for geolocating a mobile unit from a single base station is described. Communication signals and pilot signal information from a mobile unit are received at a base station with randomly-located antennas. Certain parameters of the signals are detected and a set of real-time, but ambiguous, location measurements is determined. The real-time measurements are compared to reference measurements previously stored in a database, indexed by range and bearing from the base station, to find the best match and thereby the geolocation of the mobile unit. A time history of the mobile unit's position is stored and compared with static information from maps and other geomorphological data to further refine the geolocation of the mobile unit.