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European Wireless Conference

Ergodic Secrecy Rates of the Full-Duplex AF and DF Relay Wire-Tap Fading Channels

Cuong Hung Dang, Lubna Elsaid, Leonardo Jiménez Rodríguez, Nghi Huu Tran, Shivakumar Sastry

Published May 18, 2016• 1 citation
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PHYSICAL-LAYER SECURITY WITH FULL-DUPLEX DECODE-AND-FORWARD RELAYING: SECRECY RATES AND POWER ALLOCATION

Lubna Elsaid

This thesis studies the secrecy rate and respective optimal power allocation schemes to maximize the secrecy rate of a full-duplex (FD) relay wiretap channel.The FD relay is assumed to operate in decode-and-forward (DF) mode to support a secured communication from a source to a destination under the presence of an eavesdropper.Both slowly varying fading and ergodic fading channels where the channel gains are assumed to be available at the receivers but not the transmitters are considered.The residual self-interference due to FD transmission is taken into account in formulating the secrecy rate and the optimal power allocation schemes.The first part of the thesis establishes closed-form expressions of the secrecy rates for a given power allocation scheme at the source and the relay.For a slowly varying fading environment, the channel conditions for which a positive secrecy rate is attained are identified.In the case of ergodic fading, we first propose a simple method to calculate the expectation of an exponentially distributed random variable using the exponential integral function.Using this result, the ergodic secrecy rates of the considered FD relay channel are then established in closed-form.The proposed method provides a simple yet effective way to compute the secrecy rates without the need of lengthy Monte Carlo simulations.iii I am grateful to my advisor, Dr. Nghi H. Tran, for the kindness he showed me, his understanding to my situation and his knowledgeable and experienced guidance throughout this masters.This work could not have been possible without my loving, sweet and generous husband, Abdo, who supported and encouraged me in every step of the way and was the light that guided me through my darkest

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Secrecy capacity of the full-duplex AF relay wire-tap channel under residual self-interference

Cuong Hung Dang, Leonardo Jiménez Rodríguez, Nghi Huu Tran +2 more

This paper studies a wire-tap channel in which a source node wants to communicate securely to a destination node in the presence of an eavesdropper and under the aid of an amplify-and-forward (AF) relay operating in full-duplex (FD) mode. The residual self-interference due to FD transmission is explicitly taken into account. The secrecy capacity and the respective optimal power allocation schemes for this system are examined under both individual and joint power constraints. At first, the related optimization problems are shown to be quasi-concave. As such, the globally optimal solution exists and is unique. Due to the non-linearity of the derivative, we apply a simple bisection method for root finding and obtain a simple expression for the optimal power allocation scheme. To further provide some insight on the solutions, we apply the method of dominant balance to analyze the capacity and power allocations in different high power regions. It is then demonstrated that full relay power is only needed when the power at the relay is sufficiently small compared to the power at the source. Comparisons with half-duplex (HD) relaying also revealed that FD can achieve a significantly higher secrecy capacity. Finally, numerical results are presented to confirm the optimality of the solutions.

IEEE Wireless Communications and Networking Conference•Mar 1, 2015•14 citations
This thesis studies the secrecy rate and respective optimal power allocation schemes to maximize the secrecy rate of a full-duplex (FD) relay wiretap channel.The FD relay is assumed to operate in decode-and-forward (DF) mode to support a secured communication from a source to a destination under the presence of an eavesdropper.Both slowly varying fading and ergodic fading channels where the channel gains are assumed to be available at the receivers but not the transmitters are considered.The residual self-interference due to FD transmission is taken into account in formulating the secrecy rate and the optimal power allocation schemes.The first part of the thesis establishes closed-form expressions of the secrecy rates for a given power allocation scheme at the source and the relay.For a slowly varying fading environment, the channel conditions for which a positive secrecy rate is attained are identified.In the case of ergodic fading, we first propose a simple method to calculate the expectation of an exponentially distributed random variable using the exponential integral function.Using this result, the ergodic secrecy rates of the considered FD relay channel are then established in closed-form.The proposed method provides a simple yet effective way to compute the secrecy rates without the need of lengthy Monte Carlo simulations.iii I am grateful to my advisor, Dr. Nghi H. Tran, for the kindness he showed me, his understanding to my situation and his knowledgeable and experienced guidance throughout this masters.This work could not have been possible without my loving, sweet and generous husband, Abdo, who supported and encouraged me in every step of the way and was the light that guided me through my darkest
This paper studies a wire-tap channel in which a source node wants to communicate securely to a destination node in the presence of an eavesdropper and under the aid of an amplify-and-forward (AF) relay operating in full-duplex (FD) mode. The residual self-interference due to FD transmission is explicitly taken into account. The secrecy capacity and the respective optimal power allocation schemes for this system are examined under both individual and joint power constraints. At first, the related optimization problems are shown to be quasi-concave. As such, the globally optimal solution exists and is unique. Due to the non-linearity of the derivative, we apply a simple bisection method for root finding and obtain a simple expression for the optimal power allocation scheme. To further provide some insight on the solutions, we apply the method of dominant balance to analyze the capacity and power allocations in different high power regions. It is then demonstrated that full relay power is only needed when the power at the relay is sufficiently small compared to the power at the source. Comparisons with half-duplex (HD) relaying also revealed that FD can achieve a significantly higher secrecy capacity. Finally, numerical results are presented to confirm the optimality of the solutions.