A transmitter device (10; 50) comprising N channels Vi, i = 1 to N ≥ 1, each of said channels Vi comprising: - a transmission processing channel adapted to process an input signal and comprising a predistortion block, a digital-to-analogue converter, a first analogue filter and a power amplifier, said transmitter device comprising a transducer device coupled to said processing channel and receiving the input signal once it has been processed by said processing channel, the predistortion block being adapted to apply a predistortion to said input signal, as a function of predistortion coefficients, to compensate for the nonlinearities of the power amplifier; - a return channel associated with the transmission processing channel, adapted to receive the signal processed by the processing channel and comprising a second analogue filter, an analogue-to-digital converter, and a block for estimating predistortion coefficients, said block for estimating predistortion coefficients being adapted to estimate predistortion coefficients, as a function of at least said input signal and of a signal, called feedback signal, obtained following at least the successive operations, on the received processed signal, of filtering by the second filter and of converting by the analogue-to-digital converter, and to deliver said estimated predistortion coefficients to the predistortion block; wherein the processing channel further has a sigma-delta encoder between the predistortion block and the digital-to-analogue converter, adapted to carry out notably a quantisation; said transmitter device (10; 50) being characterised in that the block for estimating predistortion coefficients is adapted to estimate said predistortion coefficients as a function of at least said input signal and of a signal resulting from the subtraction, from said feedback signal, of a signal representing the quantisation noise resulting from the quantisation carried out by the sigma-delta encoder. - a transmission processing channel adapted to process an input signal and comprising a predistortion block, a digital-to-analogue converter, a first analogue filter and a power amplifier, said transmitter device comprising a transducer device coupled to said processing channel and receiving the input signal once it has been processed by said processing channel, the predistortion block being adapted to apply a predistortion to said input signal, as a function of predistortion coefficients, to compensate for the nonlinearities of the power amplifier; - a return channel associated with the transmission processing channel, adapted to receive the signal processed by the processing channel and comprising a second analogue filter, an analogue-to-digital converter, and a block for estimating predistortion coefficients, said block for estimating predistortion coefficients being adapted to estimate predistortion coefficients, as a function of at least said input signal and of a signal, called feedback signal, obtained following at least the successive operations, on the received processed signal, of filtering by the second filter and of converting by the analogue-to-digital converter, and to deliver said estimated predistortion coefficients to the predistortion block; wherein the processing channel further has a sigma-delta encoder between the predistortion block and the digital-to-analogue converter, adapted to carry out notably a quantisation; said transmitter device (10; 50) being characterised in that the block for estimating predistortion coefficients is adapted to estimate said predistortion coefficients as a function of at least said input signal and of a signal resulting from the subtraction, from said feedback signal, of a signal representing the quantisation noise resulting from the quantisation carried out by the sigma-delta encoder.