An intrusive binaural speech intelligibility prediction system comprising a binaural speech intelligibility predictor unit adapted for receiving a target signal comprising speech in a) left and right essentially noise-free versions x l, x r and in b) left and right noisy and/or processed versions y l, y r, said signals being received or being representative of acoustic signals as received at left and right ears of a listener, the binaural speech intelligibility predictor unit being configured to provide as an output a final binaural speech intelligibility predictor value SI measure indicative of the listener's perception of said noisy and/or processed versions y l, y r of the target signal, the binaural speech intelligibility predictor unit comprising • First and second input units for providing time-frequency representations x l (k,m) and x r (k,m) of said left x l and right x r noise-free version of the target signal, respectively, k being a frequency bin index, k=1, 2,..., K, and m being a time index; • Third and fourth input units for providing time-frequency representations y l (k,m) and y r (k,m) of said left y l and right y r noisy and/or processed versions of the target signal, respectively, k being a frequency bin index, k=1, 2,..., K, and m being a time index; • A first Equalization-Cancellation stage adapted to receive and relatively time shift and amplitude adjust the left and right noise-free versions x l (k,m) and x r (k,m), respectively, and to subsequently subtract the time shifted and amplitude adjusted left and right noise-free versions x' l (k,m) and x' r (k,m) of the left and right target signals from each other, and to provide a resulting noise-free signal x(k,m); • A second Equalization-Cancellation stage adapted to receive and relatively time shift and amplitude adjust the left and right noisy and/or processed versions y l (k,m) and y r (k,m), respectively, and to subsequently subtract the time shifted and amplitude adjusted left and right noisy and/or processed versions y' l (k,m) and y' r (k,m) of the left and right target signals from each other, and to provide a resulting noisy and/or processed signal y(k,m); and • A speech intelligibility predictor unit for providing final binaural speech intelligibility predictor value SI measure based on said resulting noise-free signal x(k,m) and said resulting noisy and/or processed signal y(k,m); Wherein the intrusive binaural speech intelligibility prediction system is configured to repeat the calculations performed by said first and second Equalization-Cancellation stages and the speech intelligibility predictor unit to optimize the final binaural speech intelligibility predictor value SI measure to indicate a maximum intelligibility of said noisy and/or processed versions y l, y r of the target signal by said listener. • First and second input units for providing time-frequency representations x l (k,m) and x r (k,m) of said left x l and right x r noise-free version of the target signal, respectively, k being a frequency bin index, k=1, 2,..., K, and m being a time index; • Third and fourth input units for providing time-frequency representations y l (k,m) and y r (k,m) of said left y l and right y r noisy and/or processed versions of the target signal, respectively, k being a frequency bin index, k=1, 2,..., K, and m being a time index; • A first Equalization-Cancellation stage adapted to receive and relatively time shift and amplitude adjust the left and right noise-free versions x l (k,m) and x r (k,m), respectively, and to subsequently subtract the time shifted and amplitude adjusted left and right noise-free versions x' l (k,m) and x' r (k,m) of the left and right target signals from each other, and to provide a resulting noise-free signal x(k,m); • A second Equalization-Cancellation stage adapted to receive and relatively time shift and amplitude adjust the left and right noisy and/or processed versions y l (k,m) and y r (k,m), respectively, and to subsequently subtract the time shifted and amplitude adjusted left and right noisy and/or processed versions y' l (k,m) and y' r (k,m) of the left and right target signals from each other, and to provide a resulting noisy and/or processed signal y(k,m); and • A speech intelligibility predictor unit for providing final binaural speech intelligibility predictor value SI measure based on said resulting noise-free signal x(k,m) and said resulting noisy and/or processed signal y(k,m);