The disclosure relates to a hearing assistance system and a system signal processing unit for a hearing assistance system wherein the hearing assistance system comprises at least two binaural hearing systems including a first binaural hearing system and a second binaural hearing system is provided.The system signal processing unit comprises or is operatively connected to a wireless data communication interface for wirelessly communicating with at least one of said at least two binaural hearing systems. The system signal processing unit is configured to receive a first system electric audio signal and first system spatial information related to said first system electric audio signal originating from said first binaural hearing system, said first system spatial information comprising at least one of a first system angle of incidence of incoming sound and a first system time delay between capturing sound by the two spaced apart hearing devices of said first hearing aid system, and to receive a second system electric audio signal and a second system spatial information related to said second system electric audio signal originating from said second binaural hearing system, said second system spatial information comprising at least one of a second system angle of incidence of incoming sound and a second system time delay between capturing sound by the two spaced apart hearing devices of said second hearing aid system.The system signal processing unit is further configured to process said first and second system electric audio signals based on said first and second system spatial information and to generate an enhanced electric audio signal.