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Exact Performance Analysis of Amplify-and-Forward Bidirectional Relaying over Nakagami-m Fading Channels with Arbitrary Parameters

School of Information Engineering, Nanchang University, Nanchang 330031, China
School of Information Engineering, East China Jiaotong University, Nanchang 330013, China
Author to whom correspondence should be addressed.
Energies 2019, 12(7), 1277;
Received: 22 February 2019 / Revised: 25 March 2019 / Accepted: 28 March 2019 / Published: 3 April 2019
PDF [773 KB, uploaded 3 April 2019]


The exact performance of amplify-and-forward (AF) bidirectional relay systems is studied in generalized and versatile Nakagami-m fading channels, where the parameter m is an arbitrary positive number. We consider three relaying modes: two, three, and four time slot bidirectional relaying. Closed form expressions of the moment generating function (MGF), higher order moments of signal-to-noise ratio (SNR), ergodic capacity, and average signal error probability (SEP) are derived, which are different from previous works. The obtained expressions are very concise, easy to calculate, and evaluated instantaneously without a complex summation operation, in contrast to the nested multifold numerical integrals and truncated infinite series expansions used in previous work, which lead to computational inefficiency, especially when the fading parameter m increases. Simulation results corroborate the correctness and tightness of the theoretical analysis. View Full-Text
Keywords: amplify-and-forward; arbitrary fading parameter; bidirectional relaying amplify-and-forward; arbitrary fading parameter; bidirectional relaying

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Qin, D.; Wang, Y.; Zhou, T. Exact Performance Analysis of Amplify-and-Forward Bidirectional Relaying over Nakagami-m Fading Channels with Arbitrary Parameters. Energies 2019, 12, 1277.

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