Abstract

In this paper, the secrecy performance of the physical layer security (PLS) of the hybrid free-space optical/radio frequency (FSO/RF) communication system is analyzed. The transmission protocol of the considered system is performed under the eavesdropper’s attempt to overhear the RF link between the transmitter and legitimate receiver of the hybrid system. The FSO link is characterized by Malaga-M distribution while the RF links are modeled by Nakagami- $m$ distribution. The two practical eavesdropping modes considered in this paper include: colluding and non-colluding. Exact closed-form expressions for the system’s secrecy outage probability (SOP), the asymptotic of the SOP (SOP $^{\infty }$ ), the probability of strictly positive secrecy capacity (SPSC), the average secrecy capacity (ASC), and the asymptotic of the ASC (ASC $^{\infty }$ ), are specifically derived under the influence of both eavesdropper modes. Our derived analytical expressions present an efficient tool to investigate the impact of some channel parameters on the secrecy performance, namely the fading severity of the RF links, atmospheric turbulence severity, pointing error of the FSO link, number of eavesdroppers, and the power of the eavesdropper links. The results show that the increase of the eavesdroppers’ number under both modes profoundly degrades the considered system secrecy performance. The accuracy of the numerical results obtained is validated by Monte-Carlo simulations.

Highlights

  • In addition to considering a physical layer security (PLS) analysis of the hybrid free-space optical/radio frequency (FSO/RF) system configuration, we address the secrecy performance of this considered configuration under the effects of the non-colluding and colluding eavesdropping modes, with the presence of multiple eavesdroppers for the first time for this type of configuration

  • We present a secure scenario over the Málaga-M/Nakagami-m hybrid Free-space optical (FSO)/RF fading channel

  • The results are obtained by assuming heterodyne detection (HD) optical signal detection technique, weak (α = 3.78, β = 3.74, ξ = 6.0), moderate (α = 2.50, β = 2.06, ξ = 3.1) and strong (α = 2.04, β = 1.10, ξ = 1.0) scenarios of the atmospheric turbulence strength and pointing error effect, turbulent, ( = 1.3265, bo = 0.1079), ρ = 0.596, and φA−φB = π/2

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Summary

INTRODUCTION

In addition to considering a PLS analysis of the hybrid FSO/RF system configuration, we address the secrecy performance of this considered configuration under the effects of the non-colluding and colluding eavesdropping modes, with the presence of multiple eavesdroppers for the first time for this type of configuration. The Málaga-M fading model of the FSO link of the investigated system can accurately make intelligible outcomes amid intense atmospheric turbulence and pointing error impairment circumstances Inspired by these conveniences, we present a secure scenario over the Málaga-M/Nakagami-m hybrid FSO/RF fading channel. New exact expressions of the secrecy outage probability (SOP), the asymptotic SOP (SOP∞), the probability of strictly positive secrecy capacity (SPSC), the average secrecy capacity (ASC), and the asymptotic of the ASC (ASC∞) are deduced These expressions are novel compared to the existing works as the effect of colluding and non-colluding attacks is not reported in the exiting hybrid FSO/RF literature.

SYSTEM AND CHANNEL MODELS
THE MAIN CHANNEL MODEL
THE WIRETAP CHANNEL MODEL
ASYMPTOTIC ANALYSIS OF SOP
ASYMPTOTIC ANALYSIS OF ASC
NUMERICAL RESULTS
CONCLUSION
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