The invention relates to a learning process for an ultra wideband communication system with M transmission antennas and N reception antennas and in which the information is modulated on L possible positions comprising the following steps: a) transmit a series of Nseq learning pulses from each emission antenna to all reception antennas. b) for each reception antenna j, estimate the M composite responses of series of emitted pulses that arrive at this reception antenna j, each composite response being estimated by eliminating the effects of other antennas. c) estimate correlations between the different channels.