Device for recovering synchronization on a signal transmitted to a mobile-telephone receiver, including phase-estimator means (47, 49) for the absolute value (ABS) and the sign (SIGN) of the transmitted signal, estimation processor (64) for processing the output signals of the estimators (47, 49), a sequencer (67), one input of which is connected to the output of the processor (64) and one output of which applies a mode signal to the processor, another output of the sequencer (67) being connected via a sampling-time generator (68) to the sampling-time control inputs of the estimators (47, 49).