Various embodiments are directed to a non-linear amplifier system comprising a reference output generator, an adaptive filter, a amplitude distortion (AM-AM) compensator, a phase distortion (AM-PM) compensator, an adaptive spectrum controller and a non-linear system. The reference output generator may receive an input signal and generating a reference output. The adaptive filter may generate a modified input signal based on the input signal and the reference output. The AM-AM compensator may act on the modified input signal to compensate for AM-AM distortion. The phase distortion (AM-PM) compensator may act on the modified input signal to compensate for AM-PM distortion. The adaptive spectrum controller may provide parameters to the adaptive filter to minimize the power spectral density (PSD) of an output of the non-linear amplifier system in a stop-band and maximize the PSD of the output of the non-linear amplifier system in a pass-band.