Solutions for the MIMO Gaussian Wiretap Channel With a Cooperative Jammer

Fakoorian, S. Ali. A.; Swindlehurst, A. Lee

doi:10.1109/tsp.2011.2161298

Cited by 122 publications

(73 citation statements)

References 20 publications

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“…Specifically, the SC can make the transmission from the source node to the legitimate destination node secure while achieving zero mutual information between the source node and malicious eavesdropper node. Based on this idea, extensive research efforts have been devoted to improving the SC from an information-theoretic perspective under different scenarios, for example, cooperative relaying [12][13][14][15] and beamforming techniques [16,17], cooperative jamming (CJ) methods [18][19][20], and multiple-input multipleoutput (MIMO) schemes [21,22].…”

Section: Introductionmentioning

confidence: 99%

Security‐Reliability Tradeoff Analysis in Multisource Multirelay Cooperative Networks with Multiple Cochannel Interferers

2018

Wireless Communications and Mobile Computing

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Cooperative relaying communication is one of the green communication technologies since it shortens the communication distance and saves the transmit power. In this paper, the physical-layer security (PLS) of a multisource multirelay cooperative relaying communication network is investigated by considering the influence of cochannel interference from a security-reliability tradeoff (SRT) perspective. First, the SRT performance is characterized by the outage probability (OP) and the intercept probability (IP). In particular, the IP encountered at the eavesdropper is used to evaluate the security performance, while the reliability performance is analyzed in terms of the OP experienced at the destination. Then, under the impact of multiple cochannel interferers, the intercept probabilities and the outage probabilities of both the conventional direct transmission (DT) strategy and relay selection (RS) strategy are derived in closed-form expressions over Rayleigh fading channels, respectively. Simulation results are provided to validate the theoretical analysis. It is shown that when the OP (reliability) requirement is relaxed, the IP (security) performance improves and vice versa. It confirms that there is an SRT existing between the OP and the IP. Meanwhile, a better SRT performance can be achieved by increasing the number of sources, relays, and cochannel interferers. In addition, it is also shown that the RS strategy generally outperforms the conventional DT strategy in terms of the product of the IP and the OP.

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Section: Introductionmentioning

confidence: 99%

Security‐Reliability Tradeoff Analysis in Multisource Multirelay Cooperative Networks with Multiple Cochannel Interferers

2018

Wireless Communications and Mobile Computing

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“…To further improve physical layer security, artificial noise (AN) or cooperative jamming (CJ) approach has been introduced in the secrecy system by embedding *Correspondence: feizesong@bit.edu.cn School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China noise or jamming signal in the transmitted signal to confuse eavesdroppers [8][9][10][11]. In addition to helping relay the desirable information signals from source nodes to destination nodes, trusted relays can also implement CJ [12,13] to confuse the potential eavesdroppers by simultaneously sending jamming signals together with the information signals.…”

Section: Introductionmentioning

confidence: 99%

Robust beamforming and cooperative jamming for secure transmission in DF relay systems

Fei

2016

J Wireless Com Network

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In this paper, we study robust joint beamforming and cooperative jamming (CJ) in a secure decode-and-forward (DF) relay system in the presence of multiple eavesdroppers, in which a multi-antenna DF relay employs transmit beamforming to help the source deliver information to the destination and simultaneously generates Gaussian artificial noise to confuse these eavesdroppers. We assume that all the channel state information (CSI) is imperfectly known at the relay subject to norm-bounded CSI errors. Our objective is to maximize the achievable secrecy rate at the destination by jointly optimizing the transmit beamforming vector of information signals and the covariance matrix of jamming signals at the relay subject to its total transmit power constraint. Although this problem is non-convex and in general difficult to be solved, we obtain its optimal solution via the technique of semi-definite relaxation (SDR) together with a one-dimensional (1-D) search. Specifically, we prove that the SDR is tight for the problem of our interest. Finally, numerical results are provided to validate our proposed scheme.

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“…One way to achieve non-zero secrecy rate in this case is to introduce multi-antenna nodes [3][4][5][6][7][8][9][10][11], wherein multiantenna techniques can enable directional transmission, thus allowing secret communication even when the eavesdropper's channel has a much better quality. However, due to the cost or size limitations, multi-antenna nodes may not be available in some practical applications.…”

Section: Introductionmentioning

confidence: 99%

Robust transmit design for secure AF relay networks with imperfect CSI

Chen

et al. 2016

J Wireless Com Network

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This paper studies robust transmit design for secure AF relay networks with imperfect channel state information (CSI). Two CSI error models, deterministically bounded error model and stochastic error model, are considered. In order to use the power at relays more efficiently, a joint cooperative relaying and jamming scheme is considered, where relays cooperate to forward the source signal and simultaneously they cooperate to send jamming signals to confuse the eavesdroppers. In this joint cooperative relaying and jamming framework, we address the robust joint optimization of the relay weights and the input covariance matrix of jamming signals for secrecy rate maximization (SRM), under both total and individual relay power constraints. Specifically, for the case of deterministically bounded error model, where the CSI error can be specified by an uncertainty set, we maximize the worst-case secrecy rate. While for the case of stochastic error model, where the probability distribution of the CSI error is Gaussian, we maximize the outage constrained secrecy rate. The challenge of these considered SRM-based optimizations lies in their non-convexity. This paper shows that such SRM-based optimization can be solved in a convex fashion and via solving a sequence of semidefinite programs (SDPs). Numerical results are presented to show the efficacy of the proposed scheme.

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Solutions for the MIMO Gaussian Wiretap Channel With a Cooperative Jammer

Cited by 122 publications

References 20 publications

Security‐Reliability Tradeoff Analysis in Multisource Multirelay Cooperative Networks with Multiple Cochannel Interferers

Security‐Reliability Tradeoff Analysis in Multisource Multirelay Cooperative Networks with Multiple Cochannel Interferers

Robust beamforming and cooperative jamming for secure transmission in DF relay systems

Robust transmit design for secure AF relay networks with imperfect CSI

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