A method for managing a handover procedure in a wireless communication network, the wireless communication network comprising a serving base station and a plurality of base stations neighbouring the serving base station and at least one mobile communication unit UE communicating with the serving base station, the communication unit moving at speeds above the limit authorised in the LTE (Long Term Evolution) standard, the communication unit comprising at least one transmitter/receiver component, a Doppler effect compensation unit for the uplink UL and a Doppler effect compensation unit for the downlink DL, wherein the method is used for inter-frequency measurements when the neighbouring base station to be measured uses the same carrier frequency as that of the serving base station and for inter-frequency measurements when the neighbouring base station to be measured uses a carrier frequency different from that of the serving cell, and in that it comprises at least the following steps: • on the mobile communication unit EU, the Doppler effect compensation unit precompensates during transmission the Doppler shift on the uplink UL, the Doppler effect compensation unit compensates during reception the Doppler shift on the downlink DL, the mobile management unit of a mobile user computes the frequency shift values to be applied as follows: • by generating measurement intervals from configuration information relating to the measurement intervals transmitted from a serving base station to the mobile communication unit UE; • by computing a first frequency shift value fd UL,S to be applied to the signal transmitted by the user to the serving base station on the uplink UL for the serving base station outside a measurement interval and computing a second frequency shift value fd DL,S to be applied to the signal received by the mobile user on the downlink DL outside the measurement interval for the serving base station and computing a third frequency shift value fd DL,N to be applied to the signal received by the mobile user on the downlink DL inside the measurement interval for at least one of the neighbouring base stations of the serving station in order to compensate for the Doppler shift; • by applying the computed shifts for the precompensation of the Doppler shift on the uplink UL and for the compensation of the Doppler shift on the downlink DL. • on the mobile communication unit EU, the Doppler effect compensation unit precompensates during transmission the Doppler shift on the uplink UL, the Doppler effect compensation unit compensates during reception the Doppler shift on the downlink DL, the mobile management unit of a mobile user computes the frequency shift values to be applied as follows: • by generating measurement intervals from configuration information relating to the measurement intervals transmitted from a serving base station to the mobile communication unit UE; • by computing a first frequency shift value fd UL,S to be applied to the signal transmitted by the user to the serving base station on the uplink UL for the serving base station outside a measurement interval and computing a second frequency shift value fd DL,S to be applied to the signal received by the mobile user on the downlink DL outside the measurement interval for the serving base station and computing a third frequency shift value fd DL,N to be applied to the signal received by the mobile user on the downlink DL inside the measurement interval for at least one of the neighbouring base stations of the serving station in order to compensate for the Doppler shift; • by applying the computed shifts for the precompensation of the Doppler shift on the uplink UL and for the compensation of the Doppler shift on the downlink DL. • by generating measurement intervals from configuration information relating to the measurement intervals transmitted from a serving base station to the mobile communication unit UE; • by computing a first frequency shift value fd UL,S to be applied to the signal transmitted by the user to the serving base station on the uplink UL for the serving base station outside a measurement interval and computing a second frequency shift value fd DL,S to be applied to the signal received by the mobile user on the downlink DL outside the measurement interval for the serving base station and computing a third frequency shift value fd DL,N to be applied to the signal received by the mobile user on the downlink DL inside the measurement interval for at least one of the neighbouring base stations of the serving station in order to compensate for the Doppler shift; • by applying the computed shifts for the precompensation of the Doppler shift on the uplink UL and for the compensation of the Doppler shift on the downlink DL.