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Physical Layer Security of Large Reflecting Surface Aided Communications with Phase Errors

Jose David Vega Sanchez, Pablo Ramirez-Espinosa, F. Javier Lopez-Martinez

TL;DR

The physical layer security performance of a wireless communication link through a large reflecting surface (LRS) with phase errors is analyzed and it is shown that the eavesdropper’s link is Rayleigh distributed and independent of the legitimate link.

Abstract

The physical layer security (PLS) performance of a wireless communication link through a large reflecting surface (LRS) with phase errors is analyzed. Leveraging recent results that express the \ac{LRS}-based composite channel as an equivalent scalar fading channel, we show that the eavesdropper's link is Rayleigh distributed and independent of the legitimate link. The different scaling laws of the legitimate and eavesdroppers signal-to-noise ratios with the number of reflecting elements, and the reasonably good performance even in the case of coarse phase quantization, show the great potential of LRS-aided communications to enhance PLS in practical wireless set-ups.

Physical Layer Security of Large Reflecting Surface Aided Communications with Phase Errors

TL;DR

The physical layer security performance of a wireless communication link through a large reflecting surface (LRS) with phase errors is analyzed and it is shown that the eavesdropper’s link is Rayleigh distributed and independent of the legitimate link.

Abstract

The physical layer security (PLS) performance of a wireless communication link through a large reflecting surface (LRS) with phase errors is analyzed. Leveraging recent results that express the \ac{LRS}-based composite channel as an equivalent scalar fading channel, we show that the eavesdropper's link is Rayleigh distributed and independent of the legitimate link. The different scaling laws of the legitimate and eavesdroppers signal-to-noise ratios with the number of reflecting elements, and the reasonably good performance even in the case of coarse phase quantization, show the great potential of LRS-aided communications to enhance PLS in practical wireless set-ups.

Paper Structure

This paper contains 12 sections, 5 theorems, 22 equations, 2 figures.

Table of Contents

  1. Introduction
  2. System Model
  3. SNR distributions
  4. Distribution of $\gamma_{\rm b}$
  5. Distribution of $\gamma_{\rm e}$
  6. PLS Performance
  7. SOP Analysis
  8. ASC Analysis
  9. Numerical evaluation
  10. Conclusions
  11. Proof of Theorem \ref{['th1']}
  12. Proof of Theorem \ref{['th1']}

Key Result

Theorem 1

Let us consider the equivalent legitimate and wiretap channels in eq2 and eq5. Then, $H_b$ and $H_e$ are independent if $\angle H_{i,{\rm e}}\sim\mathcal{U}[-\pi,\pi)$. This is the case, e.g., of considering Rayleigh fading for the LRS to eavesdropper's links.

Figures (2)

  • Figure 1: ASC as a function of $\overline\gamma_{\rm0,b}$ for different values of $n_{\rm b}$ and $n$. Markers correspond to the legitimate and eavesdropper channels in \ref{['eq2']} and \ref{['eq5']}.
  • Figure 2: SOP as a function of $\overline\gamma_{\rm0,b}$ for different values of $n$ with $n_{\rm b}=2$ and $n_{\rm b}\rightarrow\infty$. Markers correspond to the legitimate and eavesdropper channels in \ref{['eq2']} and \ref{['eq5']}.

Theorems & Definitions (11)

  • Remark 1: Scaling law for $\overline\gamma_{\rm e}$
  • Theorem 1: Independence of legitimate and wiretap links
  • proof
  • Lemma 1: SOP in FR scenario
  • proof
  • Lemma 2: SOP in BR scenario
  • proof
  • Lemma 3: SOP in NR scenario
  • proof
  • Lemma 4
  • ...and 1 more