A process receives a composite signal transmitted via a nonlinear data transmission channel, with the composite signal having a first signal UL and a second signal LL. The process includes the following: demodulating and decoding the first signal UL by using a first demodulation and decoding chain in order to regenerate first information of the first signal UL; recoding and shaping to produce a continuous time waveform; applying a nonlinearity function based on a set of coefficients updated according to an adaptive correlation calculation process to the continuous time waveform; subtracting the result of the nonlinearity function from the composite signal in order to generate a result E; and demodulating and decoding the result E by using a second demodulation and decoding chain in order to regenerate second information of the second signal LL.