The invention relates to a reception method for communication over frequency-selective channels with a plurality of send antennas and a plurality of receive antennas, to process data received by the receive antennas that, on sending, was successively modulated and spread.To this end, reception uses: filtering by means of a single linear filter (202, 202′) adapted to process the received data to generate a vector corresponding to an evaluation (Ŝ) of the sent modulated data before spreading; subtracting interference using an estimate of multi-antenna interference (MAI), intersymbol interference (ISI), and multi-user interference (MUI) previously regenerated on the basis of the vector (Ŝ) generated by previous filtering (202); processing to generate an interference estimate for the data received from information computed on the basis of the vector (Ŝ). The invention relates further to a reception system adapted to implement the method and a transmission system including the reception system.