# Mixed RF/FSO Cooperative Relaying Systems with Co-Channel Interference

## TL;DR

This paper analyzes a dual-hop RF/FSO relay system with multiple relays, proposing generalized fading models and deriving analytical performance metrics to evaluate system reliability and capacity under various conditions.

## Contribution

It introduces a comprehensive analytical framework for mixed RF/FSO relaying systems with generalized fading models and partial relay selection, providing closed-form performance expressions.

## Key findings

- Derived closed-form outage probability and capacity expressions.
- Validated analytical results with Monte Carlo simulations.
- Provided high SNR asymptotic analysis for system insights.

## Abstract

In this paper, we provide a global framework analysis of a dual-hop mixed Radio Frequency (RF)/Free Space Optical (FSO) system with multiple branches/relays wherein the first and second hops, respectively, consist of RF and FSO channels. To cover various cases of fading, we propose generalized channels' models for RF and FSO links that follow the Nakagami-m and the Double Generalized Gamma (DGG) distributions, respectively. Moreover, we suggest Channel State Information (CSI)-assisted relaying or variable relaying gain based Amplifiy-and-Forward (AF) amplification. Partial relay selection with outdated CSI is assumed as a relay selection protocol based on the knowledge of the RF CSI. In order to derive the end-to-end Signal-to-Interference-plus-Noise Ratio (SINR) statistics such as the Cumulative Distribution Function (CDF), the Probability Density Function (PDF), the higher order moments, the amount of fading and the Moment Generating Function (MGF), the numerical values of the fading severity parameters are only valid for integer values. Based on these statistics, we derive closed-forms of the outage probability, the bit error probability, the ergodic capacity and the outage capacity in terms of Meijer-G, univariate, bivariate and trivariate Fox-H functions. Capitalizing on these expressions, we derive the asymptotic high SNR to unpack valuable engineering insights of the system performance. Monte Carlo simulation is used to confirm the analytical expressions.

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Source: https://tomesphere.com/paper/1902.03174