A multichannel transmitter device includes, on each channel: a transmission processing channel designed to process an input signal and comprising a predistortion block applying a predistortion to the input signal on the basis of predistortion coefficients, a DAC, a first analogue filter, a power amplifier and a sigma-delta encoder between the predistortion block and the digital-to-analogue converter and designed to carry out notably a quantization of the predistortion block; a return channel associated with the transmission processing channel and comprising a block for estimating predistortion coefficients so as to estimate predistortion coefficients on the basis of the input signal and of a feedback signal; the transmitter device wherein the block for estimating predistortion coefficients is designed to estimate the predistortion coefficients on the basis of at least the input signal and of a signal resulting from the subtraction, from the feedback signal, of a signal representing the quantization noise resulting from the quantization carried out by the sigma-delta encoder.