More Accurate ASER Bound for Opportunistic Amplify-and-Forward Relay Systems

In this letter, we have derived more accurate average symbol error rate (ASER) for opportunistic amplify-and-forward (OAF) relay systems with for M-phase shift keying (M-PSK) over rayleigh fading channels. At first, the exact ASER is expressed without any approximation. In addition, we have derived the modified moment generating function (MGF) by extension of the probability density function (PDF) of the order statistic to the given relay’s selection probability for OAF relay system. Then, the ASER bound to be more accurate and another ASER form of previous researches are respectively derived by utilizing the modified MGF. Furthermore, the accuracy of derived ASER bound is analytically confirmed by comparison with each other. Simulation results are finally presented to validate the analysis.

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