The envelope-dependency of the distortion-introducing behavior of an RF power amplifier is used to derive a predistortion signal, that is derived from a plurality of respectively different work function representative signals. Each work function signal, in turn, is based upon the envelope of the input signal to the RF power amplifier. Prior to being combined into a predistortion control signal, each work function signal is controllably weighted in accordance with an error measurement comparison of the amplifier input signal with the amplifier output signal. The error measurement function yields a measure of the error contained in the-amplifier output signal, and drives a weight adjustment control mechanism, which controllably varies a set of weights for each of in-phase and quadrature components of the respectively different signal functions, in such a manner as to minimize the measured error.