Performance evaluation of multi-branch multi-hop networks with Kth best relay selection

The Bit Error Rate(BER) performance of Multi-Branch Multi-Hop (MB-MH) system with K^th best relay choice scheme in AF networks is presented. We excogitated a scheme in cooperative communication networks i.e. a MB-MH system with Kth best relay selection, in order to vanquish the hurdles whenever the best exasperates. Considering all the Rayleigh Fading Channels which are mutually identical and independently distributed. The BER was evaluated in closed form by determining the Cumulative Density Function of the kth best relay. Furthermore, the order of diversity is obtained as M-K+1. The graphs for the Bit Error Rate(BER)are plotted for different values of K. The BER performance for BDPSK (Binary-Differential Phase Shift Keying) and BPSK (Binary Phase Shift Keying) are depicted by varying the no. of branches and no. of hops. Better simulations are performed to validate the results and compared with the expression obtained from the analysis and they are in accordance with the analytical results.