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In this paper, the performance of two-way relaying in mixed RF/FSOcommunication system with a backup RF link is investigated. Uplink RF channelsare used to send data of $K$ users to a two-way relay, $R$, whereas FSO link ismainly used to exchange data between a base station $S$ and $R$. We propose tohave a backup RF link between the relay $R$ and the node $S$ to improvereliability under certain conditions. All uplink RF channels follow Rayleighfading model while $\alpha$-$\mu$ is adopted to model both backup RF and FSOlinks. We approximate the widely used Gamma-Gamma fading model using the$\alpha$-$\mu$ distribution based on moments-based estimator technique assumingperfect alignment between transmitter and receiver antennas. This approximationshows good agreement under certain atmospheric turbulence conditions. Then, wederive exact closed-form expressions for the outage and average symbol errorprobabilities and derive approximations at high signal-to-noise ratio (SNR). Wecorroborate our analytical expressions with extensive Monte-Carlo simulationsand demonstrate exact match. Furthermore, we analyze the effect of number ofnodes, opportunistic scheduling among $K$ nodes, and $\alpha$-$\mu$ parameterson the overall performance of mixed RF/FSO and backup RF systems. Our numericalresults illustrate an achievable coding gain when increasing $K$; however,performance degradation occurs as the relay applies selection that favors thedomination of specific links in the system.

Performance of Two-Way Relaying over $\alpha$-$\mu$ Fading Channels in Hybrid RF/FSO Wireless Networks