Ergodic capacity of dual-hop variable gain relaying over mixture gamma fading channels

The ergodic capacity of dual-hop variable gain amplify-and-forward wireless communication system is investigated over independent non-identical composite Nakagami-lognormal fading channels using mixture gamma distribution. A novel exact closed-form expression of ergodic capacity for the considered system is derived. Numerical and simulation results are shown and discussed to verify the accuracy of the analytical results under different scenarios, such as varying average signal to noise ratio and fading parameters of per hop.