A hearing assistance system streams audio signals from one or more streaming sources to a hearing aid set and enhances the audio signals such that the output sounds transmitted to the hearing aid wearer include a spatialization effect allowing for localization of each of the one more streaming sources. The system determines the position of the hearing aid set relative to each streaming source in real time and introduces the spatialization effect for that streaming source dynamically based on the determined position, such that the hearing aid wearer can experience a natural feeing of the acoustic environment.