Base station apparatus adapted to serve a population of same-cell terminals within a cellular network that also includes other base stations (21, 22, 23) that serve respective populations of other-cell terminals (40-43, 50-53, 60-63) comprising: a module adapted for obtaining messages destined for a plurality of same-cell terminals and for a plurality of other-cell terminals; a module adapted to form a plurality of pilot contamination precoded messages from said messages, wherein each said precoded message pertains to a respective terminal group, each terminal group is a reuse group for pilot signals transmitted by terminals, each terminal within a given cell belongs to a respective terminal group, and each pilot contamination precoded message is a linear combination of the messages destined for the same-cell and other-cell terminals of a respective terminal group; and a module adapted for transmitting the pilot contamination precoded messages synchronously with the other base stations; further comprising a beam-forming precoder configurable to operate on the pilot contamination precoded messages before they are transmitted; wherein: the base station apparatus further comprises a module adapted to measure and to update a set of slow-fading coefficients and a set of fast-fading coefficients; the precoded message-forming module is configured to form the linear combinations using the slow-fading coefficients; the beam-forming precoder is configured to further precode the pilot contamination precoded messages using the fast-fading coefficients a module adapted for obtaining messages destined for a plurality of same-cell terminals and for a plurality of other-cell terminals; a module adapted to form a plurality of pilot contamination precoded messages from said messages, wherein each said precoded message pertains to a respective terminal group, each terminal group is a reuse group for pilot signals transmitted by terminals, each terminal within a given cell belongs to a respective terminal group, and each pilot contamination precoded message is a linear combination of the messages destined for the same-cell and other-cell terminals of a respective terminal group; and a module adapted for transmitting the pilot contamination precoded messages synchronously with the other base stations; further comprising a beam-forming precoder configurable to operate on the pilot contamination precoded messages before they are transmitted; wherein: the base station apparatus further comprises a module adapted to measure and to update a set of slow-fading coefficients and a set of fast-fading coefficients; the precoded message-forming module is configured to form the linear combinations using the slow-fading coefficients; the beam-forming precoder is configured to further precode the pilot contamination precoded messages using the fast-fading coefficients the base station apparatus further comprises a module adapted to measure and to update a set of slow-fading coefficients and a set of fast-fading coefficients; the precoded message-forming module is configured to form the linear combinations using the slow-fading coefficients; the beam-forming precoder is configured to further precode the pilot contamination precoded messages using the fast-fading coefficients