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RIS-Aided Free-Space Optics Communications in A2G Networks over Inverted Gamma-Gamma Turbulent Channels

Md. Abdur Rakib, Md. Ibrahim, A. S. M. Badrudduza, Imran Shafique Ansari, Md. Shahid Uz Zaman, Heejung Yu

TL;DR

This work analyzes RIS-assisted free-space optics (FSO) in air-to-ground (A2G) networks under doubly inverted Gamma-Gamma (IGGG) turbulence with pointing errors, including an eavesdropper. It develops a RIS-based IGGG channel model and derives closed-form expressions for outage probability (OP), average bit error rate (ABER), average channel capacity (ACC), average secrecy capacity (ASC), and secrecy outage probability (SOP), along with high-SNR asymptotics. The results show that increasing the number of RIS elements, mitigating turbulence, and reducing pointing errors substantially improve reliability and secrecy, with homogeneous detection (HD) outperforming intensity modulation/direct detection (IM/DD). Numerical validations via Monte Carlo simulations corroborate the analysis and provide practical design insights for secure, high-capacity RIS-aided FSO in outdoor A2G scenarios.

Abstract

With the advent of sixth-generation networks, reconfigurable intelligent surfaces (RISs) have revolutionized wireless communications through dynamic electromagnetic wave manipulation, thereby facilitating the adaptability and unparalleled control of real-time performance evaluations. This study proposed a framework to analyze the performance of RIS-assisted free-space optics (FSO) communication over doubly inverted Gamma-Gamma (IGGG) distributions with pointing error impairments. Furthermore, a special scenario addressing secure communication in the potential presence of an eavesdropper. Consequently, we derived closed-form expressions for the outage probability, average bit error rate, average channel capacity, average secrecy capacity, and secrecy outage probability by employing an asymptotic analysis to provide deeper insights into the influence of various system parameters. Finally, we verified our analytical results through appropriate numerical simulations.

RIS-Aided Free-Space Optics Communications in A2G Networks over Inverted Gamma-Gamma Turbulent Channels

TL;DR

This work analyzes RIS-assisted free-space optics (FSO) in air-to-ground (A2G) networks under doubly inverted Gamma-Gamma (IGGG) turbulence with pointing errors, including an eavesdropper. It develops a RIS-based IGGG channel model and derives closed-form expressions for outage probability (OP), average bit error rate (ABER), average channel capacity (ACC), average secrecy capacity (ASC), and secrecy outage probability (SOP), along with high-SNR asymptotics. The results show that increasing the number of RIS elements, mitigating turbulence, and reducing pointing errors substantially improve reliability and secrecy, with homogeneous detection (HD) outperforming intensity modulation/direct detection (IM/DD). Numerical validations via Monte Carlo simulations corroborate the analysis and provide practical design insights for secure, high-capacity RIS-aided FSO in outdoor A2G scenarios.

Abstract

With the advent of sixth-generation networks, reconfigurable intelligent surfaces (RISs) have revolutionized wireless communications through dynamic electromagnetic wave manipulation, thereby facilitating the adaptability and unparalleled control of real-time performance evaluations. This study proposed a framework to analyze the performance of RIS-assisted free-space optics (FSO) communication over doubly inverted Gamma-Gamma (IGGG) distributions with pointing error impairments. Furthermore, a special scenario addressing secure communication in the potential presence of an eavesdropper. Consequently, we derived closed-form expressions for the outage probability, average bit error rate, average channel capacity, average secrecy capacity, and secrecy outage probability by employing an asymptotic analysis to provide deeper insights into the influence of various system parameters. Finally, we verified our analytical results through appropriate numerical simulations.
Paper Structure (11 sections, 1 theorem, 25 equations, 8 figures)

This paper contains 11 sections, 1 theorem, 25 equations, 8 figures.

Table of Contents

  1. INTRODUCTION
  2. SYSTEM MODEL AND PROBLEM FORMULATION
  3. STATISTICAL ANALYSIS
  4. PERFORMANCE ANALYSIS
  5. Outage Probability
  6. Average Bit Error Rate
  7. Average Channel Capacity
  8. Average Secrecy Capacity
  9. Secrecy Outage Probability
  10. NUMERICAL RESULTS
  11. CONCLUSION

Key Result

lemma 1

The PDF and CDF of $\gamma_{j}$ are expressed as where $\Lambda_{1,j}=\frac{\mathbb{E}(M_{t,j})^{l_{j}}}{\Gamma(l_{j})k_{j}^{l_{j}}}$, $\Lambda_{2,j}=\frac{\mathbb{E}(M_{t,j})}{k_{j}}$, $\Lambda_{3,j}=\frac{\mathbb{E}(M_{t,j})^{l_{j}}}{\Gamma(l_{j})k_{j}^{l_{j}}(2\pi)^{\frac{r-1}{2}}}$, $\Lambda_{4,j}=\left[\frac{\mathbb{E}(M_{t,j})}{k_{j}r}\right

Figures (8)

  • Figure 1: System configuration comprising a source ($\mathcal{S}$), two RISs ($\mathcal{R_{I}}$ and $\mathcal{R_{E}}$), a destination user ($\mathcal{U}$), and an eavesdropper ($\mathcal{E}$).
  • Figure 2: OP versus $\mu_{r,d}$ and $N_{d}$.
  • Figure 3: ABER versus $\mu_{r,d}$ for selected values of $\alpha$, $\beta$ and $\zeta_{s,d}$.
  • Figure 4: ASC versus $\mu_{r,d}$ for selected values of $\alpha$, $\beta$ and $\zeta_{s,d}$.
  • Figure 5: ACC versus $\mu_{r,d}$ for selected values of $\zeta_{r,d}$ and $r$.
  • ...and 3 more figures

Theorems & Definitions (1)

  • lemma 1