There is provided a hearing assistance system, comprising an audio streaming device, a first hearing device for stimulating a first ear of a user, and a second hearing device for stimulating a second ear of the user, the audio streaming device comprising an audio input interface for receiving an input stereo audio signal, a unit for analyzing the input stereo audio signal in order to determine at least one azimuthal localization cue by comparing the two channels of the stereo signal, a unit for processing the input stereo audio signal in order to produce an output stereo audio signal, and a unit for supplying one channel of the output stereo audio signal to the first hearing device and for supplying the other channel of the output stereo audio signal to the second hearing device.