The hearing system (1) comprises a filtering unit (6) for improving a signal-to-noise ratio of an S+N-audio signal (S+N) composed of a desired audio signal (S) and a unwanted audio signal (N), which filtering unit (6) comprises an adaptive filter; an S+N-input for receiving said S+N-audio signal (S+N); an N*-input for receiving an N*-audio signal (N*), which is used as an estimate for said unwanted audio signal (N); and an S*-output for outputting an S*-audio signal (S*) obtained in dependence of said S+N-audio signal (S+N) and said N*-audio signal (N*), which is an approximation towards said desired signal (S); wherein the hearing system (1) comprises a selecting unit (2) operationally connected to said filtering unit (6) for selecting a first input audio signal (In1; In2; . . . ) from at least two input audio signals (In1, In2) and feeding said first input audio signal (In1; In2) either to said S+N-input or to said N*-input. Preferably, said selecting unit (2) is adapted to selecting also a second input audio signal (In2) from said at least two input audio signals (In1, In2), which is different from said first input audio signal (In1), and said first input audio signal (In1) is fed to said S+N-input, and said second input audio signal (In2) is fed to said N*-input.