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IEEE Communications Letters

Secrecy Rate Maximization With Uncoordinated Cooperative Jamming by Single-Antenna Helpers Under Secrecy Outage Probability Constraint

Pengcheng Mu, Xiaoyan Hu, Bo Wang, Zongmian Li

Published Oct 13, 2015• 24 citations
Publisher

Abstract

The issue of physical layer security for single-input-multiple-output (SIMO) wiretap channel with uncoordinated cooperative jamming (UCJ) is addressed in this letter, and we focus on power allocation in secrecy rate maximization (SRM) problem. Differing from the existing works, a practical UCJ scheme is proposed by using multiple single-antenna helpers where each helper transmits a jamming signal independently to confound the eavesdropper. Assuming that statistical channel state information (CSI) concerning the eavesdropper is available, a modified DC (difference of convex function) programming method is provided to solve the SRM problem under secrecy outage probability constraint and an achievable solution of power allocation is obtained. Numerical results show that the proposed scheme has satisfactory secrecy performance especially when the number of helpers is large.

DOI
10.1109/lcomm.2015.2490138

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The issue of physical layer security for single-input-multiple-output (SIMO) wiretap channel with uncoordinated cooperative jamming (UCJ) is addressed in this letter, and we focus on power allocation in secrecy rate maximization (SRM) problem. Differing from the existing works, a practical UCJ scheme is proposed by using multiple single-antenna helpers where each helper transmits a jamming signal independently to confound the eavesdropper. Assuming that statistical channel state information (CSI) concerning the eavesdropper is available, a modified DC (difference of convex function) programming method is provided to solve the SRM problem under secrecy outage probability constraint and an achievable solution of power allocation is obtained. Numerical results show that the proposed scheme has satisfactory secrecy performance especially when the number of helpers is large.
A practical uncoordinated cooperative jamming (UCJ) scheme with multiple single-antenna helpers is proposed in this paper to enhance the physical layer security of single-input-multiple-output (SIMO) wiretap channel. In the scheme, both the intended receiver and the eavesdropper are equipped with multiple antennas and apply the minimum mean-square error (MMSE) combiner. The multiple uncoordinated single-antenna helpers transmit jamming signals independently to confound the eavesdropper, and we focus on power allocation for the helpers to solve the secrecy rate maximization (SRM) problem. Assuming that the statistical channel state information (CSI) concerning the eavesdropper is available, a convex conservative secrecy outage probability (SOP) constraint is derived and then used to solve the SRM problem with DC (difference of convex function) programming method. Furthermore, a bisection-like refinement method is provided to find a quality solution of the SRM problem with the original SOP constraint. Numerical results show that the proposed scheme has good secrecy performance especially when the number of helpers is large.
The issue of physical layer security for wireless communication with uncoordinated cooperative jamming (UCJ) is addressed in this paper, and we focus on the secrecy rate maximization (SRM) for single-input multiple-output (SIMO) wiretap channel with a multi-antenna intended receiver and a single-antenna eavesdropper. Differing from the existing schemes, we propose a new scheme for SRM by using multiple single-antenna helpers, where each helper transmits artificial noise independently to confound the eavesdropper. Our purpose is to design the jamming power of the helpers under individual or sum power constraints to maximize the secrecy rate with the assumption that global channel state information (CSI) is available. A robust iterative optimization method for power allocation is given to solve the SRM problem, and numerical results are finally provided to illustrate the performance of the proposed method in comparison with the existing works.
A practical uncoordinated cooperative jamming (UCJ) scheme is proposed in this paper to enhance the physical layer security of the single-input-single-output (SISO) wiretap channel. Differing from the existing works, all the helpers in this UCJ scheme are uncoordinated single-antenna uplink users, and each helper transmits a jamming signal independently to confound the eavesdropper. The intended receiver plays the role of base station in the cellular systems as well as a control center to properly allocate the jamming power of each helper to maximize the secrecy rate. Two cases are addressed in solving the secrecy rate maximization problem, namely, the global channel state information (CSI) case and the partial CSI case. The optimal solution is obtained in the global CSI case, and a near-optimal solution is obtained under the secrecy outage probability constraint in the partial CSI case. Numerical results show that the performance of the proposed scheme is comparable with the existing works.
The problem of power allocation with uncoordinated cooperative jamming is addressed in this paper to enhance the physical layer security of the single-input-single-output wiretap channel with single-antenna jammers. Differing from the existing works concerning the secrecy rate maximization, this paper studies the problem of minimizing the secrecy outage probability with fixed secrecy rate, where the channel state information concerning the eavesdropper is only known statistically. This problem is formulated as an optimization problem of power allocation for the jamming signals. We prove that the optimization problem is convex in essence, and the optimal solution is thus conveniently obtained by using the methods of golden section search and bi-section search. Simulation results show that the proposed approach is very efficient and can significantly enhance the physical layer security by reducing the secrecy outage probability.
The problem of optimal power allocation between the information-bearing signal and the artificial noise (AN) signal is addressed in this letter to enhance the physical layer security of the multiple-input-single-output wiretap channel. Differing from the existing works concerning the secrecy rate maximization, this letter studies the problem of minimizing the secrecy outage probability given the secrecy rate, where the channel state information concerning the eavesdropper is modeled as quasi-static Rayleigh fading and only known statistically. After formulating the problem as an optimization problem of power allocation, we prove that the optimal solution can be conveniently obtained by using the method of bi-section search. Simulation results show that the proposed power allocation method is efficient and can enhance the physical layer security by reducing the secrecy outage probability.
This paper studies robust transmission schemes for multiple-input single-output (MISO) wiretap channels. Both the cases of direct transmission and cooperative jamming with a helper are investigated with imperfect channel state information (CSI) for the eavesdropper links. Robust transmit covariance matrices are obtained based on worst-case secrecy rate maximization, under both individual and global power constraints. For the case of an individual power constraint, we show that the nonconvex maximin optimization problem can be transformed into a quasi-convex problem that can be efficiently solved with existing methods. For a global power constraint, the joint optimization of the transmit covariance matrices and power allocation between the source and the helper is studied. We also investigate the robust wiretap transmission problem for the case with a quality-of-service constraint at the legitimate receiver. Numerical results show the advantage of the proposed robust design. In particular, for the global power constraint scenario, although cooperative jamming is not necessary for optimal transmission with perfect eavesdropper's CSI, we show that robust jamming support can increase the worst-case secrecy rate and lower the signal to interference-plus-noise ratio at the eavesdropper in the presence of channel mismatches between the transmitters and the eavesdropper.