A wireless communication system non-collaborative, multiple input, multiple output (MIMO) space division multiple access (SDMA) system determines subscriber station combining and weighting vectors that yield a high average signal-to-interference plus noise ratio (SINR). Each subscriber station independently transmits information to a base station that allows the base station to determine a weight vector wi for each subscriber station using the determined combining vector of the subscriber station. The ith combining vector corresponds to a right singular vector corresponding to a maximum singular value of a channel matrix between a base station and the ith subscriber station. Each subscriber station transmits signals using a weight vector vi, which corresponds to a left singular vector corresponding to a maximum singular value of a channel matrix between the ith subscriber station and the base station. The base station uses the weight vector wi to determine the signal transmitted by the ith subscriber station.