A hearing device (HD 1) adapted for being located at or in an ear of a user, or for being fully or partially implanted in the head of the user, the hearing device comprising • an input unit comprising first and second microphones (M 1, M 2) and first and second analysis filter banks for providing first and second electric input signals (Y 1, Y 2) representing sound in the environment of the user wearing the hearing device in a frequency sub-band representation comprising a number K of frequency bands, • a frequency band to channel allocation unit (FB2CH) for allocating said number K of frequency bands to a number N of frequency channels for each of said electric input signals, wherein the number K of frequency bands is larger than the number N of frequency channels; • antenna and transceiver circuitry allowing to establish a wireless link (Link) and to receive at least one further electric signal representing sound in the environment of the user wearing the hearing device in said number N of frequency channels from another device, • a first beamformer filtering unit for providing first and second channel beamformer signals (X est, N est) based on said electric input signals in said number N of frequency channels and said at least one further electric signal received from said other device in said number N of frequency channels; a level to gain transformation unit (POSTF) for receiving said first and second channel beamformer signals (X est, N est) and providing a post filter gain (G est) for each of said number N of frequency channels in dependence of said channel beamformer signals (X est, N est) • a second beamformer filtering unit for receiving said first and second input signal (Y 1, Y 2) in said number K of frequency bands and for providing a beamformed signal (Y BF) in said number K of frequency bands; • a channel to band distribution unit for distributing said post filter gains (G est) for each of said number N of frequency channels to post filter gains (G est) for each of said number K of frequency bands; • a processor for applying said post filter gains for each of said number K of frequency bands to said beamformed signal (Y BF) and providing a noise reduced signal (Y NR) in said number K of frequency bands for being presented as an acoustic signal to the user of the hearing device. • an input unit comprising first and second microphones (M 1, M 2) and first and second analysis filter banks for providing first and second electric input signals (Y 1, Y 2) representing sound in the environment of the user wearing the hearing device in a frequency sub-band representation comprising a number K of frequency bands, • a frequency band to channel allocation unit (FB2CH) for allocating said number K of frequency bands to a number N of frequency channels for each of said electric input signals, wherein the number K of frequency bands is larger than the number N of frequency channels; • antenna and transceiver circuitry allowing to establish a wireless link (Link) and to receive at least one further electric signal representing sound in the environment of the user wearing the hearing device in said number N of frequency channels from another device, • a first beamformer filtering unit for providing first and second channel beamformer signals (X est, N est) based on said electric input signals in said number N of frequency channels and said at least one further electric signal received from said other device in said number N of frequency channels; • a second beamformer filtering unit for receiving said first and second input signal (Y 1, Y 2) in said number K of frequency bands and for providing a beamformed signal (Y BF) in said number K of frequency bands; • a channel to band distribution unit for distributing said post filter gains (G est) for each of said number N of frequency channels to post filter gains (G est) for each of said number K of frequency bands; • a processor for applying said post filter gains for each of said number K of frequency bands to said beamformed signal (Y BF) and providing a noise reduced signal (Y NR) in said number K of frequency bands for being presented as an acoustic signal to the user of the hearing device.