Recently, wireless technologies have known an increasing success, thus becoming an interesting field for study. One of the topics of research are multiple antenna arrays. Signal recovery in that case is not obvious. Different methods with different performances have been suggested. From a statistical analysis of errors at the output of zero-forcing, we have constructed a method, which we present in this article, that combines zero-forcing and maximum likelihood. We will demonstrate that it provides both a low complexity and nearly optimal results regarding binary error rate (BER). Furthermore, we will show its relevancy compared to the VBLAST algorithm.