2017Unpublished venueRequires access

Secure outage probability over κ-μ fading channels

Shunya Iwata, Tomoaki Ohtsuki, Pooi‐Yuen Kam

Open publisher page 7 citations

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.

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What this paper is about

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.

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Available 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.

Key concepts: Fading, Rician fading, Fading distribution, Nakagami distribution, Upper and lower bounds, Computer science, Channel state information, Weibull fading

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