Abstract

This paper proposes and evaluates the performance of multiuser (MU) triple-hop mixed radio frequency (RF)/free-space optical (FSO) relay network with generalized order user scheduling. An important example on the applicability of this scenario is in cellular networks where two sets of various users are communicating with their own base stations (BSs) over RF links and these BSs are connected together via an FSO link. The considered system includes K 1 sources or users, two decode-and-forward (DF) relays, and K 2 destinations or users. The sources and destinations are connected with their relay nodes through RF links, and the relays are connected with each other through an FSO link. To achieve MU diversity, the generalized order user scheduling is used on the RF hops to select among sources and destinations. In the analysis, the RF channels are assumed to follow the Rayleigh fading model and the FSO channel is assumed to follow the Gamma-Gamma fading model including the effect of pointing errors. Closed-form expressions are derived for the outage probability, average symbol error probability (ASEP), and ergodic channel capacity. Moreover, in order to gain more insight onto the system behavior, the system is studied at the signal-to-noise ratio (SNR) regime whereby the diversity order and coding gain are provided and studied. The asymptotic results are used to obtain the optimum transmission power of the system. Monte Carlo simulations are given to validate the achieved exact and asymptotic results. The results show that the diversity order and coding of the proposed scenario are determined by the worst link among the three links. Also, results illustrate the effectiveness of the proposed power allocation algorithm in enhancing the system performance compared to the case with no power allocation.

Highlights

  • The free-space optical (FSO) communication has been recently proposed as an efficient means to deal with the “last-mile” problem in wireless networks [1]

  • We introduce the new scenario of triplehop mixed radio frequency (RF)/FSO/RF relay network with the generalized order user scheduling scheme to select among the users of the first and third RF links

  • Closed-form expressions were derived for the outage probability, average symbol error probability, and channel capacity assuming Rayleigh and Gamma-Gamma fading models for the RF and FSO links, respectively

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Summary

Introduction

Cooperative relay networks have recently attracted the attention of many researchers as an efficient solution for the multipath fading problem in wireless communications [3]. The outage performance of AF and DF FSO relaying networks over log-normal fading channels was studied in [7] assuming the presence of a direct link between the source and the destination. The effect of pointing errors was combined with the turbulence-induced fading as one channel statistic in studying the performance of dual-hop mixed RF/FSO relay networks in [5]. The performance of dual-hop FSO selective relaying network where the source message is forwarded to the destination along the direct link or along the best relay was studied in [11]. In [5, 14], the outage and error probabilities in addition to channel capacity of dual-hop multiuser DF and fixed-gain AF mixed RF/FSO relay networks were derived and analyzed, respectively. Achieving the system performance measures requires obtaining the statistics of the e2e SNR provided in (14)

Outage probability
Third hop link
Asymptotic outage performance and power allocation
Asymptotic outage probability
First hop link
Conclusions
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