An apparatus for determining a target precoding matrix from a plurality of precoding matrix candidates is provided. The apparatus includes a covariance matrix value provider, a real part determiner and a precoding matrix determiner. The precoding matrix determiner is adapted to determine the target precoding matrix from the plurality of precoding matrix candidates, wherein the precoding matrix determiner is configured to determine the target precoding matrix based on at least one of the one or more real covariance values.