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IEEE International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

User selection schemes for multiuser MISO downlink with eavesdropping

Sotiris Karachontzitis, Ioannis Krikidis, Kostas Berberidis

Published Jun 1, 2013• 2 citations
Publisher

Abstract

In this paper, the problem of secrecy sum-rate maximization is addressed for a multiuser multiple-input multiple-output wiretap channel. We consider the case of a single eavesdropper, when the information signals of the legitimate users are spatially multiplexed by using either zero forcing beamforming (ZFB) or Tomlinson-Harashima precoding (THP). By exploiting channel correlation of legitimate users with the eavesdropper, two low-complexity user selection schemes are investigated. In both schemes, the key idea is to extract multiuser diversity in order to protect information signals from eavesdropping rather than creating jamming interference. In the first scheme, user selection is performed in the null space of the eavesdropper's channel and an iterative power allocation method is proposed. In the second scheme, the eavesdropper is considered to be a selected authorized user but its allocated power is forced to be zero. Numerical results are provided to illustrate the secrecy sum-rate performance of the proposed schemes.

DOI
10.1109/spawc.2013.6612056

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In this paper, the problem of secrecy sum-rate maximization is addressed for a multiuser multiple-input multiple-output wiretap channel. We consider the case of a single eavesdropper, when the information signals of the legitimate users are spatially multiplexed by using either zero forcing beamforming (ZFB) or Tomlinson-Harashima precoding (THP). By exploiting channel correlation of legitimate users with the eavesdropper, two low-complexity user selection schemes are investigated. In both schemes, the key idea is to extract multiuser diversity in order to protect information signals from eavesdropping rather than creating jamming interference. In the first scheme, user selection is performed in the null space of the eavesdropper's channel and an iterative power allocation method is proposed. In the second scheme, the eavesdropper is considered to be a selected authorized user but its allocated power is forced to be zero. Numerical results are provided to illustrate the secrecy sum-rate performance of the proposed schemes.
In this paper, we consider the problem of secure communication in multiuser downlink wiretap networks where there exist a base-station (BS) equipped with multiple antennas, multiple legitimate receivers and a passive eavesdropper. The transmitter simultaneously transmits an information signal and artificial noise (AN) separately to the intended receivers and the eavesdropper, in which way, the secrecy rate at the eavesdropper can be seriously degraded without thinking about it location. Different schemes are studied about the power allocation of the multiple antennas in the BS, namely the average power allocation scheme and the Water-filling scheme. And in the average power allocation scheme, Zero-forcing (ZF) pre-coding scheme is used at the BS to eliminate the internal interference of all the security users. We obtain an analytical closed form expression of an achievable ergodic secrecy rate and use it as the objective function to optimize the power allocation rate between the information signal and the AN in the two schemes.
This paper studies the beamforming design problem of a multiuser downlink network, assuming imperfect channel state information known to the base station. In this scenario, the base station is equipped with multiple antennas, and each user is wiretapped by a specific eavesdropper where each user or eavesdropper is equipped with one antenna. It is supposed that the base station employs transmit beamforming with a given requirement on sum transmitting power. The objective is to maximize the sum secrecy rate of the network. Due to the uncertainty of the channel, it is difficult to calculate the exact sum secrecy rate of the system. Thus, the maximum of lower bound of sum secrecy rate is considered. The optimization of the lower bound of sum secrecy rate still makes the considered beamforming design problem difficult to handle. To solve this problem, a beamforming design scheme is proposed to transform the original problem into a convex approximation problem, by employing semidefinite relaxation and first-order approximation technique based on Taylor expansion. In addition, with the advantage of low complexity, a zero-forcing-based beamforming method is presented in the case that base station is able to nullify the eavesdroppers' rate. When the base station does not have the ability, user selection algorithm would be in use. Numerical results show that the former strategy achieves better performance than the latter one, which is mainly due to the ability of optimizing beamforming direction, and both outperform the signal-to-leakage-and-noise ratio-based algorithm.
This paper examines linear beamforming methods for secure communications in a multiuser wiretap channel with a single transmitter, multiple legitimate receivers, and a single eavesdropper, where all nodes are equipped with multiple antennas. No information regarding the eavesdropper is presumed at the transmitter, and we examine both the broadcast MIMO downlink with independent information, and the multicast MIMO downlink with common information for all legitimate receivers. In both cases the information signal is transmitted with just enough power to guarantee a certain SINR at the desired receivers, while the remainder of the power is used to broadcast artificial noise. The artificial interference selectively degrades the passive eavesdropper's signal while remaining orthogonal to the desired receivers. We analyze the confidentiality provided by zero-forcing and optimal minimum-power beamforming designs for the broadcast channel, and optimal minimum-MSE beamformers for the multicast channel. Numerical simulations for the relative SINR and BER performance of the eavesdropper demonstrate the effectiveness of the proposed physical-layer security schemes.
In this paper, we investigate the secrecy performance of matched-filter (MF) and zero-forcing (ZF) precoding in a multiuser massive multiple-input multiple-output (MIMO) system with a multi-antenna passive eavesdropper. For the two precoding schemes, we find that the equivalent wiretap channels are similar and thus the eavesdropper achieves the approximate same sum-rate. Closed-form expressions of ergodic secrecy sum-rate (ESSR) are derived for the both schemes in the low and high signal-to-noise ratio (SNR) regimes. We show that a positive ESSR of MF scheme may be not achieved when the BS simultaneously serves more than two users with high transmit power, while the ESSR of ZF scheme always grows with the number of the served users. On the contrast, MF scheme is better than ZF scheme in the low SNR regime. Simulation results corroborate the analytic results.
This paper studies the beamforming design problem of a multi-user downlink network, assuming perfect channel state information (CSI) known to the base station (BS). In this scenario, the BS is equipped with multiple antennas, and each user is wiretapped by a specific eavesdropper where each user or eavesdropper is equipped with one antenna. It is supposed that the BS employs transmit beamforming with a given requirement on sum transmitting power. The object is to maximize the sum secrecy rate (SSR) of the network, which leads to a nonconvex complicated structure, and makes he considered beamforming design problem difficult to handle. To solve this problem, a beamforming design scheme is proposed to transform the original problem into a convex approximation problem, by employing semidefinite relaxation (SDR) and first-order approximation technique based on Taylor expansion. Besides, with the advantage of low complexity, a zero-forcing (ZF) based beamforming method is presented in the case that BS is able to nullify he eavesdroppers' rate. Numerical results show that the former strategy achieves better performance than the later one, which is mainly due to the ability of optimizing beamforming direction, and both outperform the traditional signal-to-leakage-and-noise ratio (SLNR) based algorithm.
In this paper, we investigate the secrecy performance of matched-filter (MF) and zero-forcing (ZF) precoding in a multiuser massive multiple-input multiple-output (MIMO) system with a multi-antenna passive eavesdropper. For the two precoding schemes, we find that the equivalent wiretap channels are similar and thus the eavesdropper achieves the approximate same sum-rate. Closed-form expressions of ergodic secrecy sum-rate (ESSR) are derived for the both schemes in the low and high signal-to-noise ratio (SNR) regimes. We show that a positive ESSR of MF scheme may be not achieved when the BS simultaneously serves more than two users with high transmit power, while the ESSR of ZF scheme always grows with the number of the served users. On the contrast, MF scheme is better than ZF scheme in the low SNR regime. Simulation results corroborate the analytic results.