  The statistical analysis of the fading End to End channel gain of the amplify
and forward relaying protocol, however, is well known as extremely complex, and
research work to date have only studied the asymptotic behaviour of the outage
probability of the network at either very low or very high Signal Noise Ratios.
Most current works circumvent the analytical complexity by first ignoring the
effect of Additive White Gaussian noise then by using the simple approximated
upper bound for the Signal Noise Ratio. The new approximated upper bound
proposed in this paper, is far better bound than the previous results for the
entire Signal Noise Ratio, which allows us to derive exact analytical
expressions to study the effect of Additive White Gaussian noise on the network
performance.
