Abstract
In this paper, we derive another approximated closed-form average error rate as a more tractable form for the N <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">th</inf> best opportunistic amplify-and-forward (OAF) relay systems over Rayleigh fading channels. At first, we derive the N <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">th</inf> best relay's selection probability. Based on this, the average symbol error rate (ASER) using the moment generating function (MGF) is derived as the approximated form. In particular, the closed-form expression for error probability is derived using the probability density function (PDF)-approach. In addition, it is verified that the derived analytical one can be a more tractable form having the specified the number of multiple summations and the specified length of each summation. Simulation results are finally presented to validate derived numerical ones.
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