The device (10) for digital demodulation comprises a polyphase filter (14) comprising a set of N distinct elementary digital filters (H.sub.i) and means (16) of selection, for each block of an elementary digital filter (H.sub.i). These latter comprise means (28) for computing an error signal, means (30) for comparing performance indicators for the digital filters arising from the error signals and means (30) for determining the elementary digital filter (H.sub.i) to be implemented in respect of the following block as a function of the result of the comparison.The digital filters (H.sub.i) are ordered. They are chosen according to the order of the filters, as a function of the result of the comparison performed on the performance indicators for the elementary digital filters (H.sub.i) implemented in respect of at least one previous block.Application to a mobile telephone or base station.