Systems and methods for reconstructing digital information in a multiple-input receiver from signals transmitted by a multiple-output transmitter, in a multiple-input multiple-output (MIMO) communications channel are provided. A plurality of signal streams are obtained from a plurality of transmitted signals and a first candidate signal value is selected for each of the plurality of signal streams. A plurality of additional candidate signal values are also selected for each of the plurality of signal streams in response to selecting the first candidate signal value. A log-likelihood ratio (LLR) is computed from the plurality of signal streams based on all of the selected candidate signal values. Digital information may then be estimated based on the computed LLR.