The Analysis of Wireless Relay Communication System in the Presence of Nakagami-m Fading

The wireless relay communication system with three sections operating over Nakagami-m multipath fading channel is determined in this work. The outage probability of proposed relay system is calculated for two cases. In the first case, the outage probability is defined as probability that signal envelope falls below the specified threshold at any section. In the second case, the outage probability is defined as probability that output signal envelope is lower than predetermined threshold. For the first case, the outage probability is calculated by using cumulative distribution function of minimum of three Nakagami-m random variables. For the second case, the outage probability is evaluated by using the cumulative distribution function of product of three Nakagami-m random variables. Numerical expressions for the outage probability of wireless relay communication system are presented graphically and the influence of Nakagami-m parameter from each section on the outage probability is estimated. Then, the probability density functions and cumulative distribution functions of the ratios of product of two Nakagami-m random variables and Nakagami-m random variable and the ratio of Nakagami-m random variable and product of two Nakagami-m random variables are derived.