A digital processing device is at the input of a radio frequency receiver chain, suited to a transmission system using a direct sequence spectrum spread, comprising analog-to-digital conversion means (ADC) performing an undersampling of a signal received, resulting in an overlapping of the wanted signal by the transmission channel noise, demodulation means connected to the output of the ADC, a low pass filter connected at the output of the demodulation means and a filter matched to the spreading code used, wherein the ADC includes a comparator capable of comparing the amplitude of the undersampled signal to a reference in order to carry out a quantizing of the 1-bit signal, said comparator bringing about the creation of a quantizing noise, and including an additional filtering unit arranged between the low pass filter and the matched filter, implementing a multi-noise, stochastic matched filtering operation.