A transmitted signal estimate based on signals received in a layer i within a multiple input, multiple output transmission system and based upon selected constellation points for other, previously processed layers is quantized to a nearest constellation point. A list of candidates headed by the nearest constellation point and with remaining candidates presorted by proximity to the head is selected, for each such quantized estimate based on constellation point selections for previously processed layers. To select K best candidates for the transmitted signal estimates of the current layer i, the proximity of the candidates at the head of each list to the signal estimate for the current layer are compared, and the closest candidate is selected. The list containing the selected candidate is advanced, and proximity of the transmitted signal estimate to all list heads is again evaluated and the closest candidate selected.