1. A digital wireless receiver comprising a plurality of n antennas, each of the said antennas receiving a succession of complex signals over respective periods of time, .tau., each of said complex signals being composed of a plurality of distinct randomly superimposed signal components, where n&gt;1, wherein all of said signal components received by all of said receive antennas at a particular point in time collectively form a signal vector, a processor that forms said signal components received over said periods of time into respective space and time relationships, in which space is associated with respective transmitter antenna elements, and wherein said processor includes means that preprocesses, in turn, the signal vectors disposed within respective groups along a space-time diagonal by nulling out undecoded contributions to the succession of signal vectors received during the same period of time, .tau., as the groups of signal vectors being preprocessed and to subtract out decoded contributions to the same succession of signal vectors in which said groups are associated with respective ones of said periods of time and respective ones of said transmitter antenna elements.