The object of the claimed hearing aid device is to improve the speech intelligibility of a speech signal transmitted by the hearing aid device. To this end provision is made to define a maximum gain of the input signal and to determine a target gain at least at a first and second frequency of an input signal. A resulting gain is set in the hearing aid device, which does not exceed the maximum gain. A reduction of the resulting gain compared with the target gain at the first frequency is compensated for according to the invention by an automatic increase in the set resulting gain compared with the target gain at the second frequency, with compensation preferably being achieved by improving the speech intelligibility of a speech signal transmitted with the aid of the hearing aid device.