The invention relates to an asynchronous wireless communication system, such as a UMTS system. The various base stations of an asynchronous wireless communication system do not typically have known timing offsets Tb(i), and these timing offsets vary with time. The invention allows the calculation of the difference dTb(i,j) between timing offsets Tb(i), Tb(j) for pairs of base stations B(i), B(j), using the timing of signals received by one or more wireless communication units. Having eliminated the timing offsets between the base stations as a variable, geo-location techniques from synchronous networks may then be used to locate wireless communication units in the asynchronous wireless communication system.