A wireless audio transmission, for example from a television to a hearing device, is to be achieved simply and with a low signal delay. For this purpose are proposed a transmission facility with a transmission device for transmitting audio data in a signal conforming to a Bluetooth® communications protocol, a hearing-aid-specific coder which is integrated into the transmission device for the purpose of compressing the audio data before its transmission, and a relay station for converting the Bluetooth® signal from the transmission device into a signal for inductive transmission to the hearing device. In the relay station, no recoding is performed during the conversion. The transmission device transmits in accordance with the Bluetooth® A2DP protocol. The hearing-aid-specific coder has a lower sampling rate than the standard Bluetooth® coder SBC. Encoding delays and processing delays in the relay station can be minimized by this system.