A method for reducing distortion in a wireless system, the method comprising; obtaining a distorted signal ( s dist ) comprising at least one dominating signal component (110), where each dominating signal component is comprised in a respective frequency band (115), generating a distortion compensated signal ( s comp ) by minimizing a difference between the distorted signal and an estimated reference signal ( ŝ ), and generating the estimated reference signal ( ŝ ) by filtering the compensated signal by a filter having a filter parameter that determines a frequency response of the filter, wherein the filter parameter is configured such that the filter amplifies signals in the at least one frequency band compared to signals outside of the at least one frequency band.