1. An apparatus for processing a received wireless communication signal, comprising: an input for receiving a sample vector which includes a plurality of sample values and which represents a timewise corresponding wireless communication signal portion received via a plurality of receive antennas and produced by a transmitter in which each of a plurality of information sources transmits a plurality of symbols via respective ones of a plurality of transmit antennas during each of a plurality of transmit time intervals associated with said wireless communication signal portion; an input processing section coupled to said input for producing from the sample vector a plurality of vectors that are smaller than the sample vector; and an interference rejection unit coupled to said input processing section for applying an interference rejection operation to each of said smaller vectors individually to thereby decide said symbols.