A method for compensating signal distortion in an emitting payload including determining a compensation transfer function and introducing it within the aggregate response of the payload; choosing an initial tentative compensation transfer function and introducing it within the aggregate response of the payload; acquiring an output signal of the emitting payload; based on the acquired output signal and on a reference signal, corresponding to an expected undistorted output signal, performing an estimation of a residual distortion transfer function of emitting payload; and based on the estimation of the residual distortion transfer function, computing an updated tentative compensation transfer function and introducing it within the aggregate response of the payload. The estimation can be a black-box estimating and the reference signal can be generated on-purpose, and not measured from within the emitting payload.