Outage probability of LMMSE receiver in multipath Nakagami-m fading channels

We investigate the outage probability of a multiuser receiver in fading channels. We focus on the multipath, Nakagami-m channels with arbitrary m and path powers. Approximate analytical expressions of the outage probability of the linear minimum mean-squared error (LMMSE) receiver are derived when the receiver employs the channel gain variances of the interferers. In deriving the analytical expressions, we exploit large system analysis and the gamma series representation of the probability density function (PDF) of a sum of independent gamma variables. The outage probability is evaluated under a range of receiver implementations. The accuracy of the theoretical results is examined through simulation.