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International Wireless Communications and Mobile Computing Conference (IWCMC)

On the Average Secrecy Outage Rate and Average Secrecy Outage Duration of Wiretap Channels with Rician Fading

Monir Abughalwa, Aymen Omri, Mazen O. Hasna

Published Jun 1, 2018• 4 citations
Publisher

Abstract

In this paper, we study important physical layer security metrics over wiretap channels with Rician fading. We derive the average secrecy outage rate (ASOR) expression to quantify the average secrecy zero level crossing rate, and the expression of the average secrecy outage duration (ASOD), which measures (in second) how long in average the system remains in the secrecy outage status. Simulation results are conducted to confirm and discuss the theoretical derived expressions. The results show that maximum Doppler frequency shift and signal to noise ratio (SNR) at the eavesdropper are the main factors that affect the ASOR and ASOD.

DOI
10.1109/iwcmc.2018.8450528

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arXiv:1804.09208•Apr 24, 2018•1 citation
In this paper, we study important physical layer security metrics over wiretap channels with Rician fading. We derive the average secrecy outage rate (ASOR) expression to quantify the average secrecy zero level crossing rate, and the expression of the average secrecy outage duration (ASOD), which measures (in second) how long in average the system remains in the secrecy outage status. Simulation results are conducted to confirm and discuss the theoretical derived expressions. The results show that maximum Doppler frequency shift and signal to noise ratio (SNR) at the eavesdropper are the main factors that affect the ASOR and ASOD.
This paper presents an analytical methodology for the evaluation of two important physical layer security metrics in wiretap channels. Specifically, we first introduce the concept and the expression of average secrecy outage rate (ASOR) to quantify the average secrecy level crossing rate at a predefined secrecy threshold level. Then, we derive the expression of a new metric, namely, average secrecy outage duration (ASOD), which is a measure (in seconds) that describes how long on average the system remains in the secrecy outage status. The results are quite general and account for diversity-based systems operating over independent and identically distributed (i.i.d.) Nakagami-m fading channels. Monte Carlo simulations are conducted to confirm and discuss the analytical results. These results show that the ASOR and the ASOD are essentially affected by the diversity order, and the maximum Doppler frequency shift. In particular, and unlike the ASOD, the ASOR has a maximum value that should be considered in designing systems that are sensitive to secrecy level drops, even for short periods of time. In addition, the proposed new metric of ASOD might have large values even if the currently used metric of average fade duration shows low values on the communication link under consideration.
In this paper, we investigate the physical layer security (PLS) of the traditional Wyner’s wiretap channel model. Secrecy performance analysis is performed assuming a presence of an active eavesdropper trying to overhear the confidential data transmission from the source node to the predefined destination. In what follows, we derive the lower bound of the secrecy outage probability, the strictly positive secrecy capacity as well as the average secrecy capacity, over the composite a-Fisher-Snedecor (a-F) fading environment. According to the analytical results, numerical results are also shown. The impact of the path loss component, the average signal-to-noise ratios over the main/wiretap channel as well as the impact of the fading, the non-linearity of the propagation medium and the shadowing shaping parameter on the PLS metrics is examined. The overall analysis and the obtained results have a high level of generality and also a high level of applicability since the a-F distribution was recently proposed, as the best fit distribution for the channel characterization of the device-to-device wireless communication in the future Beyond 5G networks.
In this paper, we investigate the physical layer secrecy performance of a single-input single-output system that consists of single antenna devices and operates in the presence of a single antenna passive eavesdropper over dissimilar fading channels. In particular, we consider two scenarios in terms of dissimilar fading channel arrangements: 1) The legal/illegal channels are subject to Rayleigh/Rician fading, respectively; 2) The legal/illegal channels are subject to Rician/Rayleigh fading, respectively. Specifically, analytical expressions for the probability of the existence of a non-zero secrecy capacity and the secrecy outage probability are derived by using statistical characteristics of the signal-to-noise ratio. Numerical results are provided for selected scenarios to illustrate applications of the developed analytical expressions.
To investigate the impact of antenna correlation on secrecy performance in MIMO wiretap channels with Nakagami-m fading, the expressions of secrecy outage probability and positive secrecy probability were derived. Diversity order and array gain were also achieved for further insight. The study was based on the information theory that physical layer security can be guaranteed when the quality of the main channel is higher than that of the eavesdropper's channel. Monte Carlo simulations well validated the numerical results of analytic expressions. It was shown that antenna correlation is detrimental to secrecy performance when average SNR of the main channel is at medium and high level. Interestingly, when average SNR of the main channel reduces to low level, the effect of antenna correlation becomes beneficial to secrecy performance.
In this paper, we investigate the secrecy performance of single-input single-output (SISO) system over fading, such that the main channel and the eavesdropper channel are subject to Rician/Nakagami-m fading or Nakagami-m/Rician fading, and derive the analytical expressions of the probability of the existence of the non-zero secrecy capacity and the outage probability of secrecy capacity. Although many authors have analyzed the secrecy performance of SISO system over various fading, the secrecy performance in the cases we assume has not been clarified. Furthermore, the simulation and numerical results show that the results using the approximation between Rician and Nakagami-m fading is insufficient in evaluating those probabilities because of only approximation to main bodies of the probability density function, and that our analyses are valid.
Secrecy Analysis of Physical Layer over κ−μκ-μκ−μ Shadowed Fading Scenarios
In this paper, the secrecy analysis of physical layer when both the main and wiretap channels undergo κ−μκ-μκ−μ shadowed fading channel is investigated. In particular, the average secrecy capacity (ASC), secure outage probability (SOP), the lower bound of SOP (SOPL^LL), and the probability of strictly positive secrecy capacity (SPSC) are derived by using the classic Wyner's wiretap model. Two different scenarios for the fading parameters, i.e., μμμ and mmm which represents the shadowing impact have been studied. These parameters are chosen first as arbitrary numbers, thus the performance metrics are expressed in single infinite series with multivariate Meijer GGG-function. In the second scenario, both the aforementioned fading parameters are assumed to be integer numbers in order to obtain the derived results in simple exact closed-form analytic mathematically tractable expressions. The numerical results of this analysis are verified via Monte Carlo simulations.