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Precise Performance Analysis of Dual-Hop Mixed RF/Unified-FSO DF Relaying with Heterodyne Detection and Two IM-DD Channel Models

DOI:10.1109/JPHOT.2018.2890722 期刊:IEEE Photonics Journal 出版年份:2019 更新时间:2025-09-23 15:22:29
摘要: This paper provides precise performance analysis of the dual-hop mixed radio frequency (RF)/unified free space optical (FSO) decode-and-forward (DF) relaying system, in which the heterodyne detection (HD) and the intensity modulation-direct detection (IM-DD) are taken into account for FSO detection. To this end, we derive closed-form expressions for the outage probability, average bit error rate (BER), and the ergodic channel capacity of this system. In this analysis, we utilize, for the first time as per our knowledge, a precise channel capacity result for the IM-DD channel. Moreover, this is the first time that not only the (IM-DD input-independent) but also the (IM-DD cost-dependent) AWGN channel is considered in such system analyses. Additionally in this study, we assume that the first hop (RF link) follows Nakagami-m fading, and the second hop (FSO link) follows Málaga (M) turbulence with pointing errors. These fading and turbulence models contain other models (such as Rayleigh and Gamma-Gamma) as special cases, thus our analyses can be seen as a generalized one from the RF and FSO fading models point of view. Also, in BER derivation, we assume that the modulation schemes in the two hops can be different, since not all modulation schemes are suitable for IM-DD FSO links. In addition, the system performance is investigated asymptotically at high signal to noise ratios (SNRs). This investigation leads to new non-reported coding gain and diversity order analyses of such system. Interestingly, we find that in the FSO hop, at high transmitted powers, all the considered FSO detectors result in the same diversity order. Furthermore, we provide simulation results that verify the accuracy of the obtained analytical and asymptotic expressions.
作者: Omer Mahmoud S. Al-Ebraheemy,Anas M. Salhab,Anas Chaaban,Salam A. Zummo,Mohamed-Slim Alouini
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To provide precise performance analysis of dual-hop mixed RF/FSO DF relaying systems, considering heterodyne detection and two IM-DD channel models, by deriving closed-form expressions for outage probability, average BER, and ergodic channel capacity, and investigating asymptotic performance at high SNRs.

The paper provides accurate closed-form expressions for performance metrics of mixed RF/FSO DF relaying systems, validated by simulations. Key findings include the same diversity order for all FSO detectors at high transmitted powers, different coding gains, and overestimation issues when using Shannon's capacity for IM-DD. The work generalizes previous models and offers insights for system design.

The analysis assumes specific fading models (Nakagami-m and Málaga) and may not cover all practical scenarios. The IM-DD capacity approximations are tight only at high SNR, and the study is theoretical without experimental validation in real-world conditions. The pointing error and turbulence parameters are idealized.

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