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IEEE International Conference on Computer and Communications (ICCC)

Secure precoding in multiple-antennas wiretap channels with finite-alphabet signaling

Xiaoran Liu, Dongtang Ma, Jun Xiong, Ao Yue

Published Oct 1, 2016• 1 citation
Publisher

Abstract

This paper investigates the secure precoding design and proposes a closed-form expression for the approximate achievable secrecy rate. It is assumed that the transmitter knows the full channel information at the legitimate receiver, and knows only the statistics of the channel information at the eavesdropper. We design a time-varying precoder so that it can produce time-varying interference to the eavesdropper, which is capable to resist the wiretap from unknown eavesdropper. Furthermore, we address the power-allocation between information and interference transmission to achieve the optimal secrecy performance. The analysis and numerical results show that the secure precoding design provide significant gains over recent precoding designs especially in high signal-to-noise-ratio (SNR) region. Additionally, the derived results can benefit the maximization of secrecy performance.

DOI
10.1109/compcomm.2016.7924946

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This paper investigates the secure precoding design and proposes a closed-form expression for the approximate achievable secrecy rate. It is assumed that the transmitter knows the full channel information at the legitimate receiver, and knows only the statistics of the channel information at the eavesdropper. We design a time-varying precoder so that it can produce time-varying interference to the eavesdropper, which is capable to resist the wiretap from unknown eavesdropper. Furthermore, we address the power-allocation between information and interference transmission to achieve the optimal secrecy performance. The analysis and numerical results show that the secure precoding design provide significant gains over recent precoding designs especially in high signal-to-noise-ratio (SNR) region. Additionally, the derived results can benefit the maximization of secrecy performance.
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We consider precoder and artificial noise (AN) design for multi-antenna wiretap channels under the finite-alphabet input assumption. We assume that the transmitter has access to the channel coefficients of the legitimate receiver and knows the statistics of the eavesdropper's channel. Accordingly, we propose a secrecy rate maximization algorithm using a gradient descent-based optimization of the precoder matrix and an exhaustive search over the power levels allocated to the AN. We also propose algorithms to reduce the complexities of direct ergodic secrecy rate maximization by: 1) maximizing a cut-off rate-based approximation for the ergodic secrecy rate, simplifying the mutual information expression, which lacks a closed-form and 2) diagonalizing the channels toward the legitimate receiver and the eavesdropper, which allows for employing a per-group precoding-based technique. Our numerical results reveal that jointly optimizing the precoder and the AN outperforms the existing solutions in the literature, which rely on the precoder optimization only. We also demonstrate that the proposed low complexity alternatives result in a small loss in performance while offering a significant reduction in computational complexity.
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This paper considers secure transmission with the aid of a helper for finite alphabet signals in multiple-input-multiple-output multiple antenna eavesdropper networks, where the helper transmits a jamming signal along with the confidential message sent by the source node to confuse the eavesdropper. For the scenario in which the only statistical channel-state-information (CSI) of the eavesdropper links is available at the transmitter, the ergodic secrecy rate lacks closed-form expression, and the evaluation of the ergodic secrecy rate is computationally prohibitive. To address this problem, an accurate approximation of the ergodic secrecy rate is proposed to reduce the computational complexity. Utilizing this approximation of the ergodic secrecy rate, the joint optimization of precoding design and power allocation between the source and the helper is investigated to improve the ergodic secrecy rate. Furthermore, to achieve a tradeoff between computational complexity and performance, low-complexity schemes without iteration are proposed based on the analysis at extreme signal-to-noise ratio (SNR). In the low SNR regime, we prove that it is optimal to transmit confidential messages with full power, and the beamforming design is the first-order optimal precoder. At high SNR, we transform the problem of precoding design into a semi-definite programming problem, which can be efficiently solved by the interior-point method.
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