Packet Error Probability in Multi-Path Diversity Scheme with Majority Combining

In this paper, we derive the exact expression for the packet error probability in the case of m-path diversity scheme with packet combining using majority decision technique. The individual paths are modeled as independent and slow-varying binary symmetric channels with distinct values for bit error probabilities. We introduce an equivalent channel probability and spreading coefficients to analyze the derived expression. MATLAB code for numerical evaluations and an illustrative example for cases m = 3, 5, 7, 9, and 11 were also presented.