The performance of beamforming with antenna
correlation in a two hop Amplify and Forward (AF) multipleinput
multiple-output (MIMO) relay network is analyzed. This
network consists of a single relay which is used to amplify and
forward the signal from the source to the destination. The source
and destination are both equipped with multiple antennas, which
are correlated in space, while the relay has a single antenna. In
this paper, we derive new closed form expressions for the outage
probability and probability density function of the received
signal-to-noise ratio (SNR) at the destination. We also present
exact symbol error rate expressions for the two hop AF MIMO
relay network, and show that the full spatial diversity order can
be achieved. Our results also indicate that spatial correlation is
detrimental to the outage probability and symbol error rate at
high SNR, and beneficial at low SNR.