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IEEE Systems Journal

Secure Energy Efficiency Maximization for Untrusted Wireless-Powered Full-Duplex Relay Networks Under Nonlinear Energy Harvesting

Siyang Xu, Xin Song

Published Jan 24, 2022• 7 citations
Publisher

Abstract

In this article, we raise the concern on secure energy efficiency (SEE) over the wireless-powered untrusted relay networks with nonlinear energy harvesting (EH). To achieve data confidentiality and secrecy performance enhancement concurrently, the untrusted relay can enable simultaneous energy signal reception and confidential information forwarding during the second phase, where no dedicated energy transmission phase or relaying signal splitting is needed for the energy supply. In particular, with the help of destination jamming, the relay can also harvest energy from source signal and jamming signal during the first phase, which is different from conventional relaying protocol that only harvests energy from source and recycled energy. Considering the nonlinear EH efficiency, our objective is to maximize the SEE through piecewise region selection and power allocation. To address this intractable nonconvex problem, a two-layer algorithm based on optimization decoupling, fractional programming, Lagrange dual decomposition and difference of convex functions (DC) programming is proposed. The core idea of the proposed algorithm is to convert the primary problem into simple subproblems by sequentially exploiting the above-mentioned optimization methods. Simulation results reveal the superior secrecy performance of the proposed scheme. The proposed algorithm achieves near-optimal solutions with faster convergence rate.

DOI
10.1109/jsyst.2021.3135515

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In this article, we raise the concern on secure energy efficiency (SEE) over the wireless-powered untrusted relay networks with nonlinear energy harvesting (EH). To achieve data confidentiality and secrecy performance enhancement concurrently, the untrusted relay can enable simultaneous energy signal reception and confidential information forwarding during the second phase, where no dedicated energy transmission phase or relaying signal splitting is needed for the energy supply. In particular, with the help of destination jamming, the relay can also harvest energy from source signal and jamming signal during the first phase, which is different from conventional relaying protocol that only harvests energy from source and recycled energy. Considering the nonlinear EH efficiency, our objective is to maximize the SEE through piecewise region selection and power allocation. To address this intractable nonconvex problem, a two-layer algorithm based on optimization decoupling, fractional programming, Lagrange dual decomposition and difference of convex functions (DC) programming is proposed. The core idea of the proposed algorithm is to convert the primary problem into simple subproblems by sequentially exploiting the above-mentioned optimization methods. Simulation results reveal the superior secrecy performance of the proposed scheme. The proposed algorithm achieves near-optimal solutions with faster convergence rate.
To guarantee secure information transmission within two sources, a full-duplex (FD) relay jamming scheme for two-way energy harvesting (EH) cooperative networks is proposed, in which the relay can achieve simultaneous information reception and jamming transmission. The EH relay node scavenges energy from two source signals, and then, uses the harvested energy for information relaying and jamming transmission by the power splitting (PS) protocol. Considering multiple eavesdroppers, the non-convex optimization for maximizing the smaller bidirectional secrecy rates is formulated by jointly optimizing the power allocation and PS factor. Furthermore, an iterative algorithm based on successive convex approximation and alternate search method is proposed to solve this non-convexity. Simulation results verify the proposed iterative algorithm and show that the proposed jamming scheme can achieve substantial performance gain than other conventional schemes.
In this paper, we propose a novel secure precoding scheme for the full-duplex multiple-input multiple-output (MIMO) untrusted relay network. To ensure security, the source uses a fraction of power to send artificial noise and the destination collaboratively transmits jamming signal with the harvested energy to the relay. Aiming at improving the power efficiency and keeping security simultaneously, we jointly maximize the achievable secrecy rate by optimizing the precoders of the information signal, jamming signal, artificial noise, amplification matrix, and power splitting ratio subject to the power constraints. Furthermore, to make the optimization problem solvable, we propose an iterative algorithm and deal with the non-convex constraints through concave convex procedure (CCCP). Simulation results show that the proposed precoding scheme has significantly improved the secrecy performance and power efficiency compared with the typical direct link (DL) scheme and non-cooperative jamming (No-CJ) scheme.
In this paper, energy-efficient secure communications via untrusted two-way relaying are investigated considering physical layer security to prevent the relays from intercepting the confidential information of users. The performance metric of secure energy efficiency (EE), defined as the ratio of the secrecy sum rate to the total power consumption, is maximized by jointly optimizing power allocation for all nodes, with the constraints of the maximum allowed power and the minimum target secrecy rate. To deal with this intractable nonconvex optimization problem, some optimization methods termed as fractional programming, alternate optimization, penalty function method, and difference of convex functions programming, are jointly applied to address a solution scheme with comparatively lower complexity. With these above-mentioned optimization methods, the primal problem is transformed into simple subproblems hierarchically so as to adopt the corresponding optimization algorithm. By simulations, the achievable secure EE, the secrecy sum rate and the total transmission power of the proposed scheme are compared with those of secrecy sum rate maximization. It is demonstrated that the proposed scheme can improve secure EE remarkably yet at the cost of secrecy sum rate loss. This fact also reveals the inherent tradeoff between energy and security.
In this paper, a destination-assisted-jamming-based secure transmission is devised for an untrusted and energy harvesting relay network. In the proposed scheme, both source and destination split their energies into two parts for energy harvesting at the relay and transmissions of confidential and cooperative jamming signals, respectively. We formulate an optimization problem to maximize the achievable secrecy rate by jointly optimizing the energy splitting for the source and destination. The existence of the solution for the optimization is carefully analyzed. Due to high complexity of the joint optimization, an iterative optimization algorithm to obtain the near-optimal energy splitting policy is proposed. The numerical results validate that the optimized energy splitting policy leads to a higher achievable secrecy rate, and the iterative algorithm has a quick convergence rate.
For the self-energy recycling (SER) untrusted relay network, a two-phase destination-based jamming (DBJ) protocol is proposed, in which the destination transmits the jamming signal to reduce the received SNR of the untrusted relay node in the first phase and the relay node operated in full-duplex (FD) mode for simultaneous energy transfer and information relaying in the second phase. In addition, the loopback interference (LI) generated by FD relay node can be reused as part of energy. To satisfy some practical application scenarios, we consider the imperfect channel estimation error at the destination. Considering the total power constraint and the quality of service (QoS) requirement at the destination, the secrecy rate maximization problem is formulated by optimizing the transmission power of source and destination. However, the formulated problem is non-convex and difficult to solve directly. To cope with this difficulty, an iterative power allocation algorithm is proposed. The key idea of the proposed algorithm first integrates the non-convex constraint into the objective function by the exact penalty method. Then the difference of convex functions (DC) programming can be utilized to convert the non-convex objective function into the approximate convex function and the sub-optimal transmission power of source and destination can be obtained by the traditional convex programming. Simulation results show the superiority security performance of the proposed scheme with the traditional schemes.
In this paper, the secure information transmission of an energy harvesting (EH) cooperative network is considered, in which multiple eavesdroppers can overhear the forwarded relay signal. To prevent multiple eavesdroppers from decoding confidential signals, the destination transmits the jamming signal while the source transmits the confidential signal to the relay. Simultaneously, the relay can harvest more energy from source signals and destination jamming by the power splitting (PS) protocol, which is depicted as a non-linear EH process. Considering the imperfect self-interference cancellation (SIC) at the destination, secrecy rate maximization optimization is formulated to optimize the transmission power of source and destination. However, the formulated optimization is non-convex. To solve this problem, an iterative algorithm is proposed based on the difference of convex functions (DC) programming, which can transform non-convex optimization problems into successive approximate convex problems. Simulation results show that the proposed algorithm has a quick convergence rate, and the proposed scheme leads to a higher achievable secrecy rate.