A multi-stage power amplifier module, comprising: a first amplifier configured to receive an input signal having a multi-carrier electronic signal and output a first amplified signal, the first amplifier introducing first composite triple beat CTB distortions of the multi-carrier signal into the first amplified signal; a first filter adapted to shift a phase of an incoming signal, the first filter serially connected to said first amplifier so as to receive said first amplified signal as an input, said first phase filter configured to output a first phase shifted signal; a second amplifier coupled to said first phase filter so as to receive said first phase shifted signal and to output a second amplified signal, the second amplifier introducing second CTB distortions of the multi-carrier signal; and the first filter being configured to shift a phase of the first amplified signal to cause the first CTB distortions and the second CTB distortions as produced by the first and respectively second amplifiers to be out of phase to an extent that a sum of amplitudes of the CTB distortions after the phase shift is less than a sum of amplitudes of the CTB distortions as produced by the first and second amplifiers while causing power of the CTB distortions produced by the first and second amplifiers to be added, wherein the first filter comprises an amplitude filter and an all pass filter, the all pass filter, comprising: an input terminal; an output terminal; a capacitor connected between the input and output terminals (101,102); an inductor connected between the input and output terminals (101,102); a transformer with a first winding connected between the input terminal and a third terminal and a second winding connected between the third terminal and the output terminal; and a capacitor and an inductor connected in series between the third terminal and ground. a first amplifier configured to receive an input signal having a multi-carrier electronic signal and output a first amplified signal, the first amplifier introducing first composite triple beat CTB distortions of the multi-carrier signal into the first amplified signal; a first filter adapted to shift a phase of an incoming signal, the first filter serially connected to said first amplifier so as to receive said first amplified signal as an input, said first phase filter configured to output a first phase shifted signal; a second amplifier coupled to said first phase filter so as to receive said first phase shifted signal and to output a second amplified signal, the second amplifier introducing second CTB distortions of the multi-carrier signal; and the first filter being configured to shift a phase of the first amplified signal to cause the first CTB distortions and the second CTB distortions as produced by the first and respectively second amplifiers to be out of phase to an extent that a sum of amplitudes of the CTB distortions after the phase shift is less than a sum of amplitudes of the CTB distortions as produced by the first and second amplifiers while causing power of the CTB distortions produced by the first and second amplifiers to be added, wherein the first filter comprises an amplitude filter and an all pass filter, the all pass filter, comprising: an input terminal; an output terminal; a capacitor connected between the input and output terminals (101,102); an inductor connected between the input and output terminals (101,102); a transformer with a first winding connected between the input terminal and a third terminal and a second winding connected between the third terminal and the output terminal; and a capacitor and an inductor connected in series between the third terminal and ground.