A detection process for a receiver of a wireless communication system based on Multiple-In-Multiple-Out antennas, the process involving: —a preprocessing which only depends on the channel H, said preprocessing involving: —A QRD decomposition (61) for the purpose of decomposing said channel H into two Q and R matrices, with QHQ=I and R being upper triangular; —a lattice reduction (62) for the purpose of generating (formula AA, formula BB) and a permutation matrix T; —a loading phase (63, 64, 65) comprising a linear LRA-Minimum-Mean-Square-Error equalization applied on said symbols y in accordance with the result of said lattice reduction for the purpose of generating a value (formula CC). The process is characterized by the fact that it further involves the steps of: —Performing a neighborhood search with a search center being equal to the result (formula CC) of said lattice reduction; —Determining the -BKest symbols in accordance with a Partial Euclidean Distance (PED) defined in accordance with the following formula (formula DD)—detecting each layer and with the result of said detection performing an update of the search center so as to perform detection of the next layer; —multiplying the estimated value (formula EE) by said matrix T plus quantizing it onto the original constellation so as to generate the estimated value (formula FF).