A circuit includes an amplifier and pre-distortion circuit. The amplifier amplifies a modulated signal. The signal pre-distortion circuit performs a feed-forward pre-distortion of the modulated signal in a signal path in which the amplifier resides. The signal pre-distortion circuit includes: i) an envelope detector configured operative to provide an envelope information describing an envelope of the modulated signal; and ii) a built-in test circuit that determines distortion information describing a distortion in the signal path caused by amplitude variations. The signal pre-distortion circuit performs the feed-forward pre-distortion of the modulated signal on the basis of the distortion information.