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Secure beamforming and artificial noise design in interference networks with imperfect ECSI

Jian Zhou, Ruohan Cao, Hui Gao, Cong Zhang, Tiejun Lv

Published Jun 1, 2015• 5 citations
Publisher

Abstract

This paper investigates the joint robust beamforming and artificial noise design in two-user interference networks, where one of the two pairs is wiretapped by an external eavesdropper, and only imperfect eavesdropper's channel state information (ECSI) is available for the two pairs. Under individual transmission power constraint, our goal is to maximize the worst-case achievable secrecy rate of the wiretapped node and guarantee the signal-to-interference-plus-noise ratio (SINR) requirement at the wiretap-free node. In particular, considering the channel vectors and channel covariance matrices errors, we first model the imperfect ECSI in the sense of ellipsoidal uncertainties. In the sequel, our design goal is transformed into solving a non-convex optimization problem which can be further reformulated as a two-stage problem. With the help of rank relaxation and one dimensional line search, the considered two-stage problem is solved efficiently. Simulation results demonstrate the effectiveness of the proposed design in different scenarios.

DOI
10.1109/iccw.2015.7247216

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This paper investigates the joint robust beamforming and artificial noise design in two-user interference networks, where one of the two pairs is wiretapped by an external eavesdropper, and only imperfect eavesdropper's channel state information (ECSI) is available for the two pairs. Under individual transmission power constraint, our goal is to maximize the worst-case achievable secrecy rate of the wiretapped node and guarantee the signal-to-interference-plus-noise ratio (SINR) requirement at the wiretap-free node. In particular, considering the channel vectors and channel covariance matrices errors, we first model the imperfect ECSI in the sense of ellipsoidal uncertainties. In the sequel, our design goal is transformed into solving a non-convex optimization problem which can be further reformulated as a two-stage problem. With the help of rank relaxation and one dimensional line search, the considered two-stage problem is solved efficiently. Simulation results demonstrate the effectiveness of the proposed design in different scenarios.
This paper studies secure wireless transmission from a multi-antenna transmitter to a single-antenna intended receiver overheard by multiple eavesdroppers with considering the imperfect channel state information (CSI) of wiretap channel.To enhance security of communication link, the artificial noise (AN) is generated at transmitter.We first design the robust joint optimal beamforming of secret signal and AN to minimize transmit power with constraints of security quality of service (QoS), i.e., minimum allowable signal-to-interference-and-noise ratio (SINR) at receiver and maximum tolerable SINR at eavesdroppers.The formulated design problem is shown to be nonconvex and we transfer it into linear matrix inequalities (LMIs).The semidefinite relaxation (SDR) technique is used and the approximated method is proved to solve the original problem exactly.To verify the robustness and tightness of proposed beamforming, we also provide a method to calculate the worst-case SINR at eavesdroppers for a designed transmit scheme using semidefinite programming (SDP).Additionally, the secrecy rate maximization is explored for fixed total transmit power.To tackle the nonconvexity of original formulation, we develop an iterative approach employing sequential parametric convex approximation (SPCA).The simulation results illustrate that the proposed robust transmit schemes can effectively improve the transmit performance.
In this paper, we address the problem of secrecy wireless information and power transfer (SWIPT) over interference channels, where an external eavesdropper is also interested in the transmitted message. Under a practical assumption that only imperfect eavesdropper channel state information (CSI) is available, our objective is to minimize the total transmit power while satisfying the constraints on the minimum amounts of individual harvested energy, the worst-case achievable secrecy rate of the wiretapped node, and the minimum signal-to-interference-plus-noise ratio (SINR) at the wiretap-free node. An optimal robust secure beamforming and power splitting scheme is obtained via the aid of a one-dimensional search. Moreover, in order to reduce the computational complexity, we also propose a suboptimal scheme based on zero-forcing beamforming (ZFB). Finally, simulation results validate the effectiveness of the proposed schemes.
Robust quality-of-service (QoS)-based and secrecy rate-based secure transmission designs are investigated for a multiple-input single-output system with multiple eavesdroppers and a cooperative jammer. Two scenarios are considered: (a) eavesdroppers' channel state information (ECSI) is available and (b) ECSI is unavailable. In scenario (a), a QoS-based design is considered to minimize the worst case signal-to-interference-and-noise ratio at the eavesdroppers and to guarantee the QoS of the legitimate receiver. A secrecy rate-based design is also studied where the worst case secrecy rate is maximized. In scenario (b), a QoS-based design is considered to maximize the power of jamming signals under the QoS constraint of the legitimate receiver, and the secrecy rate-based design is not applicable. In all these designs, we jointly optimize the transmit beamforming vector and the covariance matrix of jamming signals under individual power constraints. As the optimization problems are non-convex, we propose an algorithm for each problem through semidefinite relaxation. Our analysis and simulation results show that, even though the linear precoding scheme in our designs is transmit beamforming rather than the general rank transmit covariance, this does not cause any loss of optimality.
In this paper, we investigate the robust secure transmit beamformming design for multiple-input single-output wiretap channels overheard by multiple non-collaborating single-antenna eavesdroppers. Assuming that at the transmitter, the instantaneous legitimate receiver's channel state information (CSI) is imperfect and only the statistical eavesdroppers' CSI is known, we seek to maximize the target secrecy rate R with the total transmit power constraint and the secrecy outage probability constraint. The resulting outage-constrained secrecy rate maximization (O-SRM) is non-convex and difficult to solve. Thus, we develop an efficient algorithm to solve it and determine the robust secure beamforming design. Specifically speaking, we first prove that the original O-SRM problem can be solved by an equivalent outage-constrained power minimization problem (O-PMP), which is easy to perform semi-definite relaxation (SDR) and can be solved by semi-definite program (SDP) consequently. Second, we transform the non-convex secrecy rate outage constraints into deterministic ones by resorting to Bernstein-type inequality II. Finally, by solving the convex approximation of the O-PMP with different Rs and bisection search over R, we convert the original O-SRM problem into a sequence of solvable SDPs. Simulation results are provided to verify the secrecy-rate performance improvement of the proposed robust beamforming compared with the existing worst-case design proposed by Li and Ma and the simple non-robust maximum-ratio transmission.
We study a secure communication of a two-user interference network. In this network, two transmitters send information and artificial noise simultaneously to two users and energy receivers (ERs), and ERs are likely to perform as eavesdroppers. We propose a joint beamforming and artificial noise design to maximize the total energy harvested by ERs subject to the secrecy sum rate requirement and power constraints. The proposed design constitutes an optimization problem, which is non-convex yet can be further transformed into a two-stage problem. In the first stage, by introducing an auxiliary variable, we can reformulate the non-convex as a second-order cone program (SOCP) problem, and the constrained concave convex procedure based algorithm is proposed to make this SOCP problem tractable. In the second stage, the auxiliary variable is obtained by the one-dimensional line search. Numerical results demonstrate the effectiveness of the proposed algorithm.
In this paper, we investigate methods for reducing the likelihood that a message transmitted between two multi-antenna nodes is intercepted by an undetected eavesdropper. In particular, we focus on the judicious transmission of artificial interference to mask the desired signal at the time it is broadcast. Unlike previous work that assumes some prior knowledge of the eavesdropper's channel and focuses on maximizing secrecy capacity, we consider the case where no information regarding the eavesdropper is available, and we use signal-to-interference-plus-noise-ratio (SINR) as our performance metric. Specifically, we focus on the problem of maximizing the amount of power available to broadcast a jamming signal intended to hide the desired signal from a potential eavesdropper, while maintaining a prespecified SINR at the desired receiver. The jamming signal is designed to be orthogonal to the information signal when it reaches the desired receiver, assuming both the receiver and the eavesdropper employ optimal beamformers and possess exact channel state information (CSI). In practice, the assumption of perfect CSI at the transmitter is often difficult to justify. Therefore, we also study the resulting performance degradation due to the presence of imperfect CSI, and we present robust beamforming schemes that recover a large fraction of the performance in the perfect CSI case. Numerical simulations verify our analytical performance predictions, and illustrate the benefit of the robust beamforming schemes.