1. Digital processing device for a modulated signal, arranged at the input of a radio frequency receiver chain, suited in particular to a transmission system using binary carrier phase modulation by means of a binary message on which a direct sequence spread spectrum operation has been carried out, this device comprising an analog-to-digital converter performing undersampling of the signal received, leading to an at least partial overlapping of the frequency range of the undersampled wanted signal by the frequency range of an interfering signal, demodulation means connected at the output of the analog-to-digital converter in order to bring the undersampled wanted signal back to baseband, a low pass filter connected at the output of the demodulation means and a filter matched to a spreading code used, wherein said device includes an additional filtering unit arranged between the low pass filter and the matched filter, said filtering unit implementing a stochastic matched filtering operation to improve the signal-to-noise ratio at the input of the filter matched to the spreading code.