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International Conference on Communications

Secure outage probability over κ-μ fading channels

Shunya Iwata, Tomoaki Otsuki Ohtsuki, Pooi‐Yuen Kam

Published May 1, 2017• 7 citations
Publisher

Abstract

In this paper, we derive the analytical expressions for the secure outage probability in a single-input single-output (SISO) system over fading, in which both the main and eavesdropper channels are subject to κ-μ fading. Many authors have analyzed the secrecy performance of such a SISO system over various fading models. More recently, a lower bound on the secure outage probability over κ-μ fading has been reported. However, the exact analytical expression of secure outage probability over κ-μ fading has not been obtained. The problem with using the lower bound is that we are not sure about the tightness of the bound. Our result is an exact expression which is verified by Monte-Carlo simulations. Furthermore, it enables us to examine the behavior of the secure outage probability as a function of the fading parameters of both the main and eavesdropper channels for given values of the average signal-to-noise power ratio (SNR) over these channels. Exact expressions for the case of Nakagami-m and Rician fading models for both the main and eavesdropper channels are also obtained and verified by simulations.

DOI
10.1109/icc.2017.7996664

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In this paper, we derive the analytical expressions for the secure outage probability in a single-input single-output (SISO) system over fading, in which both the main and eavesdropper channels are subject to κ-μ fading. Many authors have analyzed the secrecy performance of such a SISO system over various fading models. More recently, a lower bound on the secure outage probability over κ-μ fading has been reported. However, the exact analytical expression of secure outage probability over κ-μ fading has not been obtained. The problem with using the lower bound is that we are not sure about the tightness of the bound. Our result is an exact expression which is verified by Monte-Carlo simulations. Furthermore, it enables us to examine the behavior of the secure outage probability as a function of the fading parameters of both the main and eavesdropper channels for given values of the average signal-to-noise power ratio (SNR) over these channels. Exact expressions for the case of Nakagami-m and Rician fading models for both the main and eavesdropper channels are also obtained and verified by simulations.
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.
In this paper, the performance for physical-layer (PHY) security of a wireless communication system in mixed α-μ and κ-μ fading channels is analyzed. The system under consideration consists of a transmitter and a legitimate receiver in the presence of an eavesdropper, wherein the main channel is subject to α -μ fading while the wiretap channel undergoes κ-μ fading. We assume that the legitimate users and the eavesdropper are equipped with a single antenna. We derive a novel analytical expression for the lower bound of secure outage probability (SOP). Next, we investigate the asymptotic behavior of the SOP for high signal-to-noise ratio (SNR) of the main channel. Finally, we provide Monte-Carlo simulations to verify our proposed analytical framework.
Secrecy Performance Analysis of SIMO Systems Over Correlated κ\kappaκ –μ\muμ Shadowed Fading Channels
In this paper, the secrecy performance of single-input-multiple-output systems over correlated κ-μ shadowed fading channels is investigated. In particular, based on the classic Wyner's wiretap model, we derive analytical expressions for secure outage probability (SOP) and the probability of strictly positive secrecy capacity (SPSC) over correlated κ-μ shadowed fading channels. In order to further study the impact of channel parameters on the secrecy performance, novel SOP and the probability of SPSC over independent and identically distributed κ-μ shadowed fading channels are also obtained. In addition, we discuss the asymptotic expressions of the SOP and the SPSC. The match between the analytical results and simulations is excellent for all parameters under considerations. It is interesting to find that the results show that when the signal-to-noise ratio of the main channel is lower than that of the eavesdropping channel, the larger value of correlation coefficient is helpful to improve the secrecy performance and vice versa.
In this paper, we consider the transmission of confidential information over a κ-μ fading channel in the presence of an eavesdropper who also experiences κ-μ fading. In particular, we obtain novel analytical solutions for the probability of strictly positive secrecy capacity (SPSC) and a lower bound of secure outage probability (SOPL) for independent and non-identically distributed channel coefficients without parameter constraints. We also provide a closed-form expression for the probability of SPSC when the μ parameter is assumed to take positive integer values. Monte-Carlo simulations are performed to verify the derived results. The versatility of the κ-μ fading model means that the results presented in this paper can be used to determine the probability of SPSC and SOPL for a large number of other fading scenarios, such as Rayleigh, Rice (Nakagamin), Nakagami-m, One-Sided Gaussian, and mixtures of these common fading models. In addition, due to the duality of the analysis of secrecy capacity and co-channel interference (CCI), the results presented here will have immediate applicability in the analysis of outage probability in wireless systems affected by CCI and background noise (BN). To demonstrate the efficacy of the novel formulations proposed here, we use the derived equations to provide a useful insight into the probability of SPSC and SOPL for a range of emerging wireless applications, such as cellular device-to-device, peer-to-peer, vehicle-to-vehicle, and body centric communications using data obtained from real channel measurements.
On the Secrecy Performance Analysis of SIMO Systems Over κ\kappaκ – μ\muμ Fading Channels
In this letter, the secrecy performance of single-input multiple-output systems over the generalizedκ\kappaκ–μ\muμfading channels is analyzed. Novel expressions for the average secrecy capacity and the secure outage probability (SOP) are derived. Moreover, simple and explicit expressions of the asymptotic SOP at high signal-to-noise ratio are given in an effort to gain some valuable insights on how various system parameters affect the secrecy performance. The proposed mathematical analysis is compared with Monte–Carlo simulation to verify the accuracy of the derivation.
Nakagami-m fading channel is chosen to analyze the secrecy capacity for fading channels since the Nakagami-m distribution can model fading conditions, which are more or less severe than that of Rayleigh and has the advantage of including Rayleigh as a special case. At first, secrecy capacity is defined in case of full channel state information (CSI) at the transmitter, where transmitter has access to both the main channel and eavesdropper channel gains. Secondly, secrecy capacity is defined with only main channel CSI at the transmitter. Then, optimal power allocation at the transmitter that achieves the secrecy capacity is derived for both the cases. Moreover, secrecy capacity is defined under open-loop transmission scheme, and the exact closed form analytical expression for the lower bound of ergodic secrecy capacity is derived for Nakagami-m fading single-input multiple-output (SIMO) channel. In addition, secrecy capacity is defined for the AWGN channel in order to realize the information-theoretic security of wireless channels with no fading. Finally, analytical expressions for the probability of non-zero secrecy capacity and secure outage probability are derived in order to investigate the secure outage performance of fading channels.