Abstract
The Fisher–Snedecor (F-S) F distribution has recently been introduced as a tractable turbulence-induced (TI) fading model that fits well with the experimental data. This paper provides a performance evaluation of a free-space optical (FSO) re-configurable intelligent surface (RIS)-assisted communications (ACs) link over the F-S F TI fading channels, assuming the intensity modulation–direct detection (IM–DD) technique. In particular, novel and closed-form (C-F) analytical expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the end-to-end signal-to-noise ratio (SNR) in terms of Gaussian hyper-geometric functions are efficiently derived. Capitalizing on the obtained results, novel C-F analytical expressions for the moment generating function (MMGF), outage probability (OP), average bit error rate (BER) and ergodic channel capacity (Cγ) of the FSO RIS-ACs system over the F-S F TI fading channels are provided and numerically evaluated under the various TI fading severity conditions. Furthermore, the second-order (S-O) statistical expressions for the level crossing rate (LCR) and average fade duration (AFD) are obtained and thoroughly examined for various FSO RIS-ACs system model parameters.
Highlights
Re-configurable intelligent surface (RIS)-assisted communications (ACs) are envisioned for beyond 5G and 6G wireless systems [1,2]
The important S-O performance metrics of the considered single-input single-output (SISO) free-space optical (FSO) re-configurable intelligent surface (RIS)-ACs system over F-S F TI fading channels based on average signal-to-noise ratio (SNR) assuming the IM/DD technique such as the level crossing rate (LCR) and average fade duration (AFD) were further examined
The average fade duration (Aγ ) is the mean time of the TI-faded signal being below a specified threshold for the received SNR of the considered FSO RIS-ACs system over F-S F
Summary
Re-configurable intelligent surface (RIS)-assisted communications (ACs) are envisioned for beyond 5G and 6G wireless systems [1,2]. The S-O performance measures such as the level crossing rate (LCR) and average fade duration (AFD) are of considerable importance for channel coding, the interleaver design, burst error (BE) rate and throughput analysis in FSO communications. Snedecor F distribution is considered in [13] for modelling the turbulence effects in FSO communications validating its use through Monte Carlo simulations. In this context, we provide novel, closed-form (C-F) PDF and CDF expressions in terms of the Gaussian hyper-geometric function. The F-O and the S-O statistical results of the considered FSO RIS-ACs link exposed to various TI fading severity conditions are numerically evaluated and analysed.
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