A hearing aid includes at least two microphones, providing respective at least two electric input signals representing sound around the user; a filter bank converting the electric input signals into signals as a function of time and frequency; a directional system connected to the microphones and being configured to provide a filtered signal in dependence of the electric input signals and fixed or adaptively updated beamformer weights. At least one direction to a target sound source is defined as a target direction. For each frequency band, one of the microphones is selected as a reference microphone, thereby providing a reference input signal for each frequency band. The reference microphone may be selected in dependence of directional data related to directional characteristics of the microphones. The reference microphone may be different for at least two frequency bands. The reference microphone may be adaptively selected based on a logic criterion.