The user (2) of a binaural hearing aid or communication system (1A, 1B) is to be provided with an easier assignment or identification of acoustic signals generated in the system for keeping a user (2) informed about current settings or states of the system. To this end the signal is emitted by the hearing aid or communication system (1A, 1B) in such a way that for the user (2) the signals appear to come from different signal sources (3 to 6; 8 to 11) in the space (7) surrounding the user. In this way the acoustic signals carry additional information perceived consciously or unconsciously by the user (2).