Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

On the Secrecy of RIS-aided THz Wireless System subject to $α-μ$ fading with Pointing Errors

Faissal El Bouanani, Elmehdi Illi, Marwa Qaraqe, Osamah Badarneh

TL;DR

This work analyzes the secrecy performance of RIS-aided THz wireless systems subject to $\alpha-\mu$ fading and pointing errors. It develops an analytical framework that yields closed-form-approximate CDF/PDF expressions for the legitimate and eavesdropper channels, enabling SOP and IP calculations, including asymptotic behavior as system parameters scale. The RIS phase shifts are optimized to maximize the legitimate-user SNR, and the authors validate their results with extensive Monte Carlo simulations, demonstrating accuracy and revealing secrecy gains with increasing RIS size. The results provide practical insights for designing RIS-enabled THz networks with physical-layer security, and the methods accommodate complex channel impairments typical of THz communications.

Abstract

The study examines the secrecy outage probability (SOP) and intercept probability (IP) of a reflecting intelligent surface (RIS)-enabled THz wireless network experiencing $α-μ$ fading with pointing errors. Specifically, the base station (BS) sends information to a legitimate user $\ell$ via the RIS while an eavesdropper $e$ tries to overhear the conversation. Furthermore, receive nodes are equipped with a single antenna, and the RIS phase shifts were selected to boost the SNR at node $\ell$. Elementary functions are used to accurately approximate the statistical features of channel gain in BS-$\ell$ and BS-$e$ links, leading to SOP and IP approximate and asymptotic expressions. Monte Carlo simulation validates all analytical findings for different system parameters' values.

On the Secrecy of RIS-aided THz Wireless System subject to $α-μ$ fading with Pointing Errors

TL;DR

This work analyzes the secrecy performance of RIS-aided THz wireless systems subject to fading and pointing errors. It develops an analytical framework that yields closed-form-approximate CDF/PDF expressions for the legitimate and eavesdropper channels, enabling SOP and IP calculations, including asymptotic behavior as system parameters scale. The RIS phase shifts are optimized to maximize the legitimate-user SNR, and the authors validate their results with extensive Monte Carlo simulations, demonstrating accuracy and revealing secrecy gains with increasing RIS size. The results provide practical insights for designing RIS-enabled THz networks with physical-layer security, and the methods accommodate complex channel impairments typical of THz communications.

Abstract

The study examines the secrecy outage probability (SOP) and intercept probability (IP) of a reflecting intelligent surface (RIS)-enabled THz wireless network experiencing fading with pointing errors. Specifically, the base station (BS) sends information to a legitimate user via the RIS while an eavesdropper tries to overhear the conversation. Furthermore, receive nodes are equipped with a single antenna, and the RIS phase shifts were selected to boost the SNR at node . Elementary functions are used to accurately approximate the statistical features of channel gain in BS- and BS- links, leading to SOP and IP approximate and asymptotic expressions. Monte Carlo simulation validates all analytical findings for different system parameters' values.

Paper Structure

This paper contains 12 sections, 5 theorems, 68 equations, 4 figures, 1 table.

Table of Contents

  1. Introduction
  2. System model
  3. Path gain
  4. Channel gain with PE
  5. Statistical Functions of $\left|h_{x}\right|^{2}$
  6. CDF of $\left|h_{\ell}\right|^{2}$
  7. PDF of $\left|h_{e}\right|^{2}$
  8. SOP of the Considered System
  9. Results and Numerical Results
  10. Conclusion
  11. Case 1: $R_s>0$
  12. Case 2: $R_s=0$

Key Result

Proposition 1

For substantially larger $N$ values (i.e., $N>10$), the CDF of $h_{\ell}^{2}$ can be tightly approximated as with $\Gamma\left(\cdot,\cdot\right)$ refers to the upper incomplete Gamma function. and $Q(\cdot)$ account for the $Q$-function.

Figures (4)

  • Figure 1: Simulated and approximate $F_{h_{\ell}^{2}}\left(z\right)$ for $\overline{h}=1.5$ and various value of $\alpha,\mu,$ and $N$.
  • Figure 2: Simulated and approximate $f_{\left\vert h_{e}\right\vert ^{2}}\left(z\right)$ for $\alpha=2.5,\mu=1.5,\overline{h}=1.5$ and different value of $N$.
  • Figure 3: Simulated and approximate $\mathcal{P}_{sop}$ vs $d_{r,e}$ for $\overline{h}=1,N=60,$ and $\mathcal{P}/\sigma_{x}^{2}=60$ dB.
  • Figure 4: Aymptotic SOP for $\alpha=1.7,\mu=1.1,R_s=0.2,d_{r,e}=8$ m, and various values of $N$.

Theorems & Definitions (14)

  • Proposition 1
  • proof
  • Corollary 1
  • proof
  • Remark 1
  • Proposition 2
  • proof
  • Remark 2
  • Proposition 3
  • proof
  • ...and 4 more