Packet Failure Probability of Multy-copy Transmission with Majority Combining

In the paper, we present a new procedure for deriving an exact expression for the packet failure probability in the case of multi-copy transmission with error correction mechanism based on the bit-by-bit majority decision technique. The procedure exploits multiple transmission of the same packet and, if needed, combines erroneously received packets in order to correct existing errors at the same bit positions. The channel is modeled as a slow-varying binary symmetric channel with identical bit error probabilities for each copy. Graphical examples for cases with 3, 5, 7, 9, and 11 copies are provided.