Detection of the existence of a desired user is considered in this pap
er. We assume that the signal to noise ratio is high enough to ignore
the effects of noise compared with those of the interference by other
users. The inter-user interference and user signals are modeled by the
Nakagami model. We observation model for this situation is proposed,
the locally optimum test statistic is derived under the model, and the
asymptotic performance of the test statistic is compared with that of
the envelope detector. We show that the locally optimum detector has
performance better than the conventional envelope detector. (C) 1997 P
ublished by Elsevier Science B.V.