In this letter we consider the problem of multiantenna reception of nonorth
ogonal multipulse signals in a multiuser system operating over a flat-flat
Nakagami fading channel, wherein each user sends an M-ary information symbo
l by transmitting one out of M available waveforms, The receiver first-stag
e is a decorrelative filter, which gets rid of the MAI, and whose output is
then properly processed in order to decode the information symbols from th
e user of interest. In particular, we derive both the optimum noncoherent a
nd the GLRT detectors, and show that the latter receiver, not only is simpl
er to implement, but also achieves a performance level very similar to that
of the former receiver.