The invention relates to a transmitter of radio signals (SMS), which are amplitude-modulated according to a discrete plurality of amplitude levels, in which at least one output power transistor (6) receives, on one of its terminals, a bias-voltage level which is adapted to the amplitude level represented by the instantaneous value of a selection signal (SS) generated by analysis means (11) on the basis of the digital control signals (1). The electrical consumption is hence optimized.