The present invention proposes a method for operating a hearing device capable of receiving a plurality of input signals (i1, . . . , i5). The method comprises the steps of extracting source identification information embedded in one or more of the input signals (i1, . . . , i5), wherein the source identification information identifies a signal source (S1, . . . , SN) from which a particular input signal (i1, . . . , i5) originates, and/or extracting audio type information embedded in one or more of the input signals (i1, . . . , i5), wherein the audio type information provides an indication of the type of audio content present in a particular input signal (i1, . . . , i5), selecting from the plurality of input signals (i1, . . . , i5) one or more selected signals to be processed (u1, . . . , uM), processing the selected signals (u1, . . . , uM), and generating an output signal (o) of the hearing device by said processing of the selected signals (u1, . . . , uM). Thereby, the step of selecting is at least partly dependent on the extracted source identification information and/or the extracted audio type information, and/or wherein the step of processing is at least partly dependent on the extracted source identification information and/or the extracted audio type information. A corresponding hearing device is also disclosed.