slightly attenuated on account of the movement of the main interlocutor within the directional characteristic 8 of the binaural hearing device 2 there is a similar occurrence in fig1 c in which the user 1 turns his line of vision slightly while the main interlocutor 4 maintains his position in this case too the result is that the relative movement means that the main interlocutor 4 is no longer positioned in the center of the directional characteristic 8 as result of which his voice signal undergoes attenuation fig2 schematically shows a block diagram of the flow of a method 20 for signal processing in a binaural hearing device 2 the binaural hearing device 2 contains a first hearing aid 22 and a second hearing aid 24 which each contain a microphone which is not shown in the drawing the microphone of the first hearing aid 22 produces a first signal 26 from sound and the microphone of the second hearing aid 24 correspondingly produces a second signal 28 on the basis of the first signal 26 and the second signal 28 a direction identifier 30 can establish that the interlocutor 4 of the user 1 who in this case forms the main sound source 32 is not oriented in the frontal direction 6 of the user 1 but rather has a certain angular deviation 34 relative thereto as result of this angular deviation 34 the second hearing aid 24 which is closer to the interlocutor 4 is defined as the local hearing aid 36 while the first hearing aid 22 which.