This disclosure is directed to wireless or wired multiple-input multiple-output communication systems, in which a transmit symbol vector and a set of soft decision metrics are estimated using a reduced complexity maximum likelihood (ML) detection method based on a receive symbol vector and a QR decomposition of a set of permuted channel matrices. The QR decomposition can be performed by a series of CORDIC operations. Preferably, the modified receive vector and upper triangular matrix streams are scaled by a weighting vector to help compensate for transmit and receive side noise. Also preferably, the soft decision metric set related to the reliability of transmitted bits is normalized.