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# Optimal Power Allocation for Secrecy Rate Maximization in Broadcast Wiretap Channels

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### Most cited references14

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### Optimal and Robust Transmit Designs for MISO Channel Secrecy by Semidefinite Programming

,   (2011)
In recent years there has been growing interest in study of multi-antenna transmit designs for providing secure communication over the physical layer. This paper considers the scenario of an intended multi-input single-output channel overheard by multiple multi-antenna eavesdroppers. Specifically, we address the transmit covariance optimization for secrecy-rate maximization (SRM) of that scenario. The challenge of this problem is that it is a nonconvex optimization problem. This paper shows that the SRM problem can actually be solved in a convex and tractable fashion, by recasting the SRM problem as a semidefinite program (SDP). The SRM problem we solve is under the premise of perfect channel state information (CSI). This paper also deals with the imperfect CSI case. We consider a worst-case robust SRM formulation under spherical CSI uncertainties, and we develop an optimal solution to it, again via SDP. Moreover, our analysis reveals that transmit beamforming is generally the optimal transmit strategy for SRM of the considered scenario, for both the perfect and imperfect CSI cases. Simulation results are provided to illustrate the secrecy-rate performance gains of the proposed SDP solutions compared to some suboptimal transmit designs.
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### Artificial Noise: Transmission Optimization in Multi-Input Single-Output Wiretap Channels

(2015)
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### Large System Analysis of Linear Precoding in MISO Broadcast Channels with Confidential Messages

(2013)
In this paper, we study the performance of regularized channel inversion (RCI) precoding in large MISO broadcast channels with confidential messages (BCC). We obtain a deterministic approximation for the achievable secrecy sum-rate which is almost surely exact as the number of transmit antennas $$M$$ and the number of users $$K$$ grow to infinity in a fixed ratio $$\beta=K/M$$. We derive the optimal regularization parameter $$\xi$$ and the optimal network load $$\beta$$ that maximize the per-antenna secrecy sum-rate. We then propose a linear precoder based on RCI and power reduction (RCI-PR) that significantly increases the high-SNR secrecy sum-rate for $$1<\beta<2$$. Our proposed precoder achieves a per-user secrecy rate which has the same high-SNR scaling factor as both the following upper bounds: (i) the rate of the optimum RCI precoder without secrecy requirements, and (ii) the secrecy capacity of a single-user system without interference. Furthermore, we obtain a deterministic approximation for the secrecy sum-rate achievable by RCI precoding in the presence of channel state information (CSI) error. We also analyze the performance of our proposed RCI-PR precoder with CSI error, and we determine how the error must scale with the SNR in order to maintain a given rate gap to the case with perfect CSI.
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### Author and article information

###### Journal
IEEE Wireless Communications Letters
IEEE Wireless Commun. Lett.
Institute of Electrical and Electronics Engineers (IEEE)
2162-2337
2162-2345
August 2018
August 2018
: 7
: 4
: 514-517
###### Article
10.1109/LWC.2018.2792006