A transmission chain comprises a power amplifier adapted for receiving as input a signal to be amplified Sw(t) and for providing as output an amplified signal Dw(t); a predistortion module comprising a linearization unit adapted for applying a predistortion coefficient W(t) to an input signal S(t), and a unit for determining said predistortion coefficient. The input signal S(t) is received and the amplified signal Dw(t) is received through a return pathway, at the level of the unit for determining the predistortion coefficient, and the predistortion coefficient is determined on the basis of a comparison between the input signal and the amplified signal. Next, at the level of the linearization unit, the predistortion coefficient is applied to the input signal to provide as output the signal to be amplified. The determining unit determines the predistortion coefficient on the basis of a first-order approximation of the input signal.