Method and apparatus are provided for processing a received signal for making a symbol estimate of a symbol included in a signal transmitted in a Multiple-Input-Multiple-Output (MIMO) system. In an example mode, the method comprises (1) providing at least a subset of precoding matrices which are candidates for use in transmission of an interfering signal in a MIMO system; (2) using the received signal and plural candidates of the subset to determine corresponding plural covariance matrices, each of the plural covariance matrices being formed using a corresponding candidate precoding matrix; (3) determining which of the candidates is a trace minimizing candidate which is associated with one of the plural covariance matrices that has a minimum trace value; (4) forming a weighting matrix using the trace minimizing candidate; and (5) using the weighting matrix to make the symbol estimation.