The process relates to communication between a mobile receiver fitted with at least two antennas of which one antenna is less sensitive, an internal transmitter and an external transmitter respectively inside and outside a vehicle. It comprises a step of reception (220), by the mobile receiver, of signals transmitted by the internal and external transmitters; a step of amplitude compensation (230) of signals emanating from at least one of the antennas for at least the signals originating from the internal transmitter, in such a way that the compensated amplitudes correspond to sensitivities which are identical for all the antennas; a decision step regarding processing (260, 270) of the signals received from the internal and external transmitters, in the course of which the processing of the signals originating from the internal transmitter is decided on as a function of the compensated amplitudes and in the course of which it is decided to process the signals originating from the external transmitter, independently of the compensated amplitudes; and a step of processing (280) the signals for which it has been decided to perform a processing in course of decision step.