Method and system for estimating and use of device location based on radio frequency signature of coverage from a single base station

A computing system includes or has access to data records that associate (i) radio frequency (RF) signatures of device coverage from a base station with (ii) locations of devices corresponding with the RF signatures. When a device whose location is at issue is then within coverage of that base station, the computing system receives an RF signature of the device's coverage from the base station, and the computing system (i) finds multiple data records whose RF signatures of coverage from the base station most closely match the received RF signature, (ii) based on the device locations in the multiple data records, determines a representative bearing from the base station and a representative distance from the base station, and (iii) estimates the device's location to have the determined representative bearing and determined representative distance. The estimated device's location may then be used as a basis to provide a location-based service.