In the case of binaural coverage, the perception with one-sided sound reception should be improved. Provision is made for this purpose to transmit the receive signals of the hearing devices alternately and if necessary to generate a mono signal from the input signals with a specific weighting, said mono signal being presented at both ears. It is likewise conceivable to use only those spectral components of the input signals to generate the mono signal, said spectral portions having the higher level in each instance.