Packet Error Probability in a Three-Branch Diversity System with Majority Combining

In this paper, we derive a closed-form expression for the packet error probability in a three-branch diversity transmission scheme with distinct bit error probabilities in each branch and a majority combining technique implemented on a data link layer. Based on the derived expression and its approximate form, we also demonstrate that the proposed technique reduces the packet error probability by a factor numerically equal to one third of the packet size, compared to the conventional selection combining.