A hearing device, in particular a hearing aid, occupies a small volume and has high data transmission speeds for wireless transmission. In order to avoid using large volume frequency-stable components, for this purpose, an oscillator unit with a free-running oscillator is used instead. A receiver receives a synchronization signal cyclically. This is correlated to a reference signal in a correlator, such that the arrival time of the synchronization signal can be defined exactly. The free-running oscillator is then retuned correspondingly.