Optimal power allocation schemes for single-relay af wire-tap channels

Rodríguez, Leonardo Jiménez; Tran, Nghi H.; Le‐Ngoc, Tho

doi:10.1109/cce.2014.6916683

Cited by 5 publications

(9 citation statements)

References 12 publications

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“…Note that for the HD mode, one obtains q ⋆ 2,HD = O(( Pt N0 ) −1/2 ) and q ⋆ 1,HD = q t − O(( Pt N0 ) −1/2 ) [17]. Therefore, HD relaying only achieves half of the secrecy capacity as compared to FD relaying.…”

Section: /[2+λ] Tmentioning

confidence: 98%

“…Comparisons to HD relaying are also made to evaluate the efficiency of our solutions. Note that the optimal power allocation for the HD system was derived in [17]. For the HD system, the secrecy rates can be obtained by setting γ 2 = 0 in (2) and pre-multiplying R s in (3) by a factor of 1/2.…”

Section: Asymptotic Analysis and Comparison To Hd Relayingmentioning

confidence: 99%

“…Only when λ = 0, the secrecy rate with full power allocation approaches log α3(α1qs+(1+β)α4qr) α4(α1qs+(1+β)α3qr) . For HD mode, in this high power region, we have the optimal allocation as follows [17]:…”

Section: Asymptotic Analysis and Comparison To Hd Relayingmentioning

confidence: 99%

“…Besides the optimal allocations in (8) and (10), we also consider the full power allocation scheme in FD (q 1 = q s , q 2 = q r ) under the individual constraints and the uniform power allocation scheme (q 1 = q 2 = q t /2) under the joint power constraint. The same dual hop model for HD systems with q s,HD = q r,HD = q t,HD = 2 and optimal power allocation schemes derived in [17,Sec.IV.B] are also used as the system benchmarks.…”

Section: Illustrative Examplesmentioning

confidence: 99%

See 3 more Smart Citations

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

Dang

Rodríguez

Tran

et al. 2015

2015 IEEE Wireless Communications and Networking Conference (WCNC)

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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 quasiconcave. 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.

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Section: /[2+λ] Tmentioning

confidence: 98%

Section: Asymptotic Analysis and Comparison To Hd Relayingmentioning

confidence: 99%

Section: Asymptotic Analysis and Comparison To Hd Relayingmentioning

confidence: 99%

Section: Illustrative Examplesmentioning

confidence: 99%

See 2 more Smart Citations

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

Dang

Rodríguez

Tran

et al. 2015

2015 IEEE Wireless Communications and Networking Conference (WCNC)

Self Cite

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“…Recently, relaying has also been shown to be a very attractive solution to enhance the secrecy rate of wireless networks under the context of PHY security [11]- [23]. For instance, as in cooperative relay communications, relay nodes can be deployed to retransmit an amplified version of the signal received from the source with a suitable power amplification coefficient in AF mode [20]. The trusted relay can also transmit a weighted version of the decoded signal in DF mode, or forward a compressed copy of the received signal in CF mode.…”

Section: Introductionmentioning

confidence: 99%

Secrecy Rate and Optimal Power Allocation of the Amplify-and-Forward Relay Wire-Tap System

Dang

iguez

Tran

et al. 2016

JST

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In this research work, we investigate the secrecy rate and optimal power allocation schemes for a half-duplex (HD) 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. The secrecy capacity and the corresponding optimal power allocation schemes are examined under both individual and joint power constraints. Due to the absence of an insightful expression of the secrecy rate for a given power allocation scheme, determining such secrecy capacity is challenging. 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. By examining the quasi-concavity of the optimal power allocation problem, it is then concluded that the problem is quasi-concave. As such, the globally optimal solution exists and is unique for both individual and joint power constraints. A simple root finding method then can be applied into the derived close-formed formula to approximately calculate the optimal power allocation scheme to achieve the secrecy capacity. Numerical results are then provided to confirm the accuracy of the derived formula and the optimality of the proposed power allocation.

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Secrecy Rate of the Amplify-and-Forward Relay Wire-Tap Channel in Rayleigh Fading

Dang

Rodríguez

et al. 2015

Lecture Notes in Electrical Engineering

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Optimal power allocation schemes for single-relay af wire-tap channels

Cited by 5 publications

References 12 publications

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

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

Secrecy Rate and Optimal Power Allocation of the Amplify-and-Forward Relay Wire-Tap System

Secrecy Rate of the Amplify-and-Forward Relay Wire-Tap Channel in Rayleigh Fading

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