Method and system for separating a plurality of users in a communication system including two transmitter antennas and N receiver antennas, said signals transmitted by said users containing symbols an, x( ) corresponding to the vector of the envelopes of the output signals of the 1 to N receiver antennas after a shaping filtering operation, characterized in that it uses a linear mean square filter extended over an observation vector {tilde over (x)}=[x(2n−1)T x(2n)T x(2n−1)H x(2n)H]T where x(2n−1) and x(2n) correspond to the (N×1) (N≧1) observations at the symbol times 2n−1 and 2n.