An amplitude- and frequency- or phase-modulated radio frequency signal generator that is used for radio emission, generates a phase or frequency control signal and an amplitude control signal from a phase or frequency modulation signal and from an amplitude modulation signal respectively. The generator comprises a phase or frequency modulator and a variable-gain radio frequency power amplifier. The amplitude of the output signal is automatically controlled. In addition, adaptive pre-distortion is carried out in order to pre-distort the phase or frequency control signal in accordance with the amplitude modulation signal during a permanent operating phase. During a learning phase, a pre-distortion module is adapted from the amplitude modulation signal and from the amplitude control signal.