A detection process for a receiver of a wireless communication system based on Multiple-Input Multiple-Output antennas (nT, nR), said receiver processing observations symbols y derived from symbols x transmitted by an emitter through a channel H; characterized in that it involves: —a preprocessing which only depends on the channel H, said preprocessing involving: —a first QRD decomposition (61) for the purpose of decomposing said channel H into two Qext and Rext matrices, with QextHQext=/and Rext being upper triangular; —a lattice reduction (62) for the purpose of generating Qext, Rext and a transformation matrix T; —a second QRD decomposition (63) applied on the matrix Rext T−1 for the purpose of generating two matrixes Q′ext and R′ext, —a loading phase (64, 65, 66) comprising a linear detection process of the observations y for the purpose of generating a value xcenter; —a neighborhood search (67-70) performed in the Original Domain Neighborhood (ODN) with a search center being equal to the result xcenter of said loading phase, said neighborhood search determining a limited number of symbols (K-best).