Abstract
Benefiting from information-theoretic studies in cooperative relaying communications, relaying strategies have recently received considerable attention in the context of physical-layer security over wireless networks. In this paper, we investigate the secrecy rate of a relay wire-tap Rayleigh fading channel in which a source wishes to communicate securely to a destination in the presence of an eavesdropper and under the aid of an amplify-and-forward (AF) relay. Due to the presence of fading, it is a very challenging task to obtain the secrecy rate in closed-form. To overcome this issue, we first propose a novel method to calculate the expectation of an exponentially distributed random variable using the exponential integral function. By exploiting this calculation, we then establish the average secrecy rate of the considered AF relay channel in closed-form. Numerical results show that the proposed formula provides an accurate and effective way to obtain the secrecy rate without the need of time-consuming Monte Carlo simulations.
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Dang, C., RodrÃguez, L.J., Le, DA., Bao, F.S., Tran, N.H. (2015). Secrecy Rate of the Amplify-and-Forward Relay Wire-Tap Channel in Rayleigh Fading. In: Kim, K., Wattanapongsakorn, N. (eds) Mobile and Wireless Technology 2015. Lecture Notes in Electrical Engineering, vol 310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47669-7_3
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DOI: https://doi.org/10.1007/978-3-662-47669-7_3
Publisher Name: Springer, Berlin, Heidelberg
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