Abstract

We investigate the physical layer security limits of Wyner's wiretap model over Fisher-Snedecor .T composite fading channels. .T fading conditions have been recently shown to provide an accurate characterization of multipath fading and shadowing effects in emerging wireless transmission scenarios such as body centric, cellular and vehicular communications. To this end, we utilize a redefined analytic expression for the Fisher-Snedecor .T distribution in order to ensure unconstrained validity and reliability when used in the analysis of various performance metrics of interest. In this context, we assume that the main channel (i.e., between the source and the legitimate destination) and the eavesdropper's channel (i.e., between the source and the illegitimate destination) undergo independent quasi-static Fisher-Snedecor .T composite fading. Novel exact analytic expressions are then derived for the corresponding average secrecy capacity (ASC), secure outage probability (SOP) and probability of strictly positive secrecy capacity (SPSC) along with their insightful asymptotic representations. In addition, analytical expressions for the ASC, SOP and SPSC over mixed fading channels such as Nakagami-m/Nakagami-m, Nakagami-m/Fisher-Snedecor .T and Fisher-Snedecor .T/Nakagami-m are derived. The new formulations are validated through comparisons with Monte-Carlo simulations and analyzed to gain useful insights into the impact of the fading parameters on the achievable accuracy and the overall system performance.

Highlights

  • Due to the inherent broadcast nature of wireless communication systems, the message-bearing signal may be eavesdropped and decoded by illegitimate users

  • Novel exact analytic expressions are derived for the corresponding average secrecy capacity (ASC), secure outage probability (SOP) and probability of strictly positive secrecy capacity (SPSC) along with their insightful asymptotic representations

  • The results demonstrate that the ASC increases as γ E decreases, which means that the transmitter S can transmit at a higher rate to the legitimate destination D

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Summary

INTRODUCTION

Due to the inherent broadcast nature of wireless communication systems, the message-bearing signal may be eavesdropped and decoded by illegitimate users. PHY LAYER SECURITY OVER F FADING CHANNELS Based on the new analytic expressions for the PDF and CDF of the Fisher-Snedecor F fading distribution given in (6) and (7), we analyze the average secrecy capacity, the secrecy outage probability, and the strictly-positive secrecy capacity. We consider a passive eavesdropper where the source S and destination D have no CSI knowledge about the eavesdropper In this scenario, the SOP can be used as a key performance metric to characterize the wireless fading channel [49] since it denotes the probability that the instantaneous secrecy capacity falls below a target secrecy rate Rs ≥ 0. To the best of the authors’ knowledge, these results have not been reported in the open technical literature

ASYMPTOTIC ANALYSIS
ASYMPTOTIC ANALYSIS OF AVERAGE SECRECY CAPACITY
ASYMPTOTIC ANALYSIS OF STRICTLY POSITIVE
SPECIAL CASES
NUMERICAL RESULTS AND DISCUSSIONS
CONCLUSION
PROOF OF PROPOSITION 1 The asymptotic ASC can be evaluated via
PROOF OF PROPOSITION 2
PROOF OF COROLLARY 2
PROOF OF COROLLARY 5
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