Performance analysis of cooperative systems using majority decision rule in Nakagami-m fading channel

In cooperative network, a single antenna user shares their antennas with other users to create space diversity, which is used to reduce the fading effect. Consider a cooperative network consist of a source, `N' number of relays and a destination. There is a direct path exist between source and destination along with `N' relaying diversity paths. It has `L' diversity paths between source and destination. All paths are statistically independent and undergo Nakagami-m fading. At relays, we integrate decode and forward (DF) protocol. In our proposed system, we used majority decision rule (MDR) based decoding at the destination. In majority decision rule, the decoded symbol is based on a similar number of symbols received at the destination. We assumed that the cooperative system having `N' even number of relays. So that we have `L' odd independent diversity paths exist among source to destination. In this paper, we derived an end to end Symbol Error Probability (SEP) for Binary Phase Shift Keying (BPSK) using a majority decision rule in a closed form for multiple relay.