A method of despreading a plurality of GPS spread spectrum signals received by a GPS receiver (24) is disclosed together with a GPS receiver (24) and a mobile communications device (MS1) (especially a mobile cellular telephone) for the same. The method comprises the steps of acquiring a first GPS signal from the stored samples; obtaining frequency information relating to variations in the frequency of the first acquired signal as measured by the GPS receiver; and using the frequency information to acquire a second GPS signal. The frequency information may be used to acquire the second GPS signal in the course of a single dwell and may also, for a digital GPS receiver, relate to variations in the frequency of the first acquired signal present in stored samples.