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On the Secrecy Performance of $α$-$\mathcal{F}$ Channels with Pointing Errors

Gabriel M. C. Neves, Hugerles S. Silva, Higo T. P. Silva, Wamberto J. L. Queiroz, Felipe A. P. Figueiredo, Rausley A. A. de Souza

TL;DR

This work studies physical layer security in the $α$-$\mathcal{F}$ fading channel with pointing errors for a three-node THz-like system. It develops exact closed-form expressions for the probability of strictly positive secrecy capacity ($P_0$) and the average secrecy capacity ($\bar{C}_s$), a lower bound on secrecy outage probability (SOP), and high-SNR asymptotics, all validated by Monte Carlo simulations. The analysis leverages Fox $H$-functions and Mellin-Barnes integrals to obtain tractable forms, with Gauss-Laguerre quadrature for efficient computation of the asymptotic terms. The results reveal how pointing errors, nonlinearity ($\alpha$) and shadowing ($m$) affect secrecy performance and quantify a secrecy-diversity gain in the high-SNR regime, providing a rigorous framework for secure THz communications under misalignment and fading.

Abstract

This paper investigates the physical layer security (PLS) performance of $α$-$\mathcal{F}$ fading channels with pointing errors under passive and active eavesdropping scenarios. Novel analytical expressions are derived for key PLS metrics, including the probability of strictly positive secrecy capacity, the average secrecy capacity, and the secure outage probability. An asymptotic analysis is also investigated to provide further insights into the system behavior under high signal-to-noise ratio conditions. The analytical results are validated through Monte Carlo simulations, with several performance curves presented for a range of channel and system parameters. All expressions derived in this work are original and have not been previously published.

On the Secrecy Performance of $α$-$\mathcal{F}$ Channels with Pointing Errors

TL;DR

This work studies physical layer security in the - fading channel with pointing errors for a three-node THz-like system. It develops exact closed-form expressions for the probability of strictly positive secrecy capacity () and the average secrecy capacity (), a lower bound on secrecy outage probability (SOP), and high-SNR asymptotics, all validated by Monte Carlo simulations. The analysis leverages Fox -functions and Mellin-Barnes integrals to obtain tractable forms, with Gauss-Laguerre quadrature for efficient computation of the asymptotic terms. The results reveal how pointing errors, nonlinearity () and shadowing () affect secrecy performance and quantify a secrecy-diversity gain in the high-SNR regime, providing a rigorous framework for secure THz communications under misalignment and fading.

Abstract

This paper investigates the physical layer security (PLS) performance of - fading channels with pointing errors under passive and active eavesdropping scenarios. Novel analytical expressions are derived for key PLS metrics, including the probability of strictly positive secrecy capacity, the average secrecy capacity, and the secure outage probability. An asymptotic analysis is also investigated to provide further insights into the system behavior under high signal-to-noise ratio conditions. The analytical results are validated through Monte Carlo simulations, with several performance curves presented for a range of channel and system parameters. All expressions derived in this work are original and have not been previously published.

Paper Structure

This paper contains 10 sections, 19 equations, 2 figures.

Table of Contents

  1. Introduction
  2. System and Channel Models
  3. Secrecy Capacity Analysis
  4. Strictly Positive Secrecy Capacity
  5. Average Secrecy Capacity
  6. Asymptotic Secrecy Capacity
  7. Secrecy Outage Probability Analysis
  8. Asymptotic Secrecy Outage Probability
  9. Numerical Results
  10. Conclusions

Figures (2)

  • Figure 1: System model illustration, in which an eavesdropper intercepts a legitimate user's communication.
  • Figure 2: (a) SPSC and ASC curves versus (b) $\bar{\gamma}$ and (c) versus $\bar{\gamma}_\text{D}/\bar{\gamma}_\text{E}$ under different scenarios. $\text{SOP}_{\mathcal{L}}$ curves under different (d) $\alpha_\text{E}$ and (e) $z_\text{D}$ values.