A hearing system for communication with a mobile telephone comprises a hearing device and a separate microphone unit adapted for picking up a voice of a user. The microphone unit comprises a) a multitude M≧2 of input units for picking up or receiving a signal representative of a sound from the environment; b) an adaptive multi-input unit noise reduction system for providing an estimate Ŝ of a target signal s comprising the user's voice, the multi-input unit noise reduction system comprises a multi-input beamformer filtering unit configured to determine filter weights w(k,m) for providing a beamformed signal, wherein signal components from other directions than a direction of a target signal source are attenuated, whereas signal components from the direction of the target signal source are left un-attenuated; and c) antenna and transceiver circuitry for transmitting said estimate Ŝ of the user's voice to another device.