• Journal of Communications and Networks
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• 제14권4호
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• pp.364-373
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• 2012

In this paper, we propose combined relay selection and cooperative beamforming schemes for physical layer security. Generally, high operational complexity is required for cooperative beamforming withmultiple relays because of the required information exchange and synchronization among the relays. On the other hand, while it is desirable to reduce the number of relays participating in cooperative beamforming because of the associated complexity problem, doing so may degrade the coding gain of cooperative beamforming. Hence, we propose combined relay selection and cooperative beamforming schemes, where only two of the available relays are selected for beamforming and data transmission. The proposed schemes introduce a selection gain which partially compensates for the decrease in coding gain due to limiting the number of participating relays to two. Both the cases where full and only partial channel state information are available for relay selection and cooperative beamforming are considered. Analytical and simulation results for the proposed schemes show improved secrecy capacities compared to existing physical layer security schemes employing cooperative relays.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제7권6호
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• pp.1418-1432
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• 2013

This paper studies the problem of secure information exchange between two sources via multiple relays in the presence of an eavesdropper. To this end, we propose a relay beamforming scheme, i.e., relay beamforming with artificial noise (RBwA), where the relay beamforming vector and the artificial noise vector are jointly designed to maintain the received signal-to-interference-ratio (SINR) at the two sources over a predefined Quality of Service (QoS) threshold while limiting the received SINR at the eavesdropper under a predefined secure threshold. For comparison, the relay beamforming without artificial noise (RBoA) is also considered. We formulate two optimization problems for the two schemes, where our goal is to seek the optimal beamforming vector to minimize the total power consumed by relay nodes such that the secrecy of the information exchange between the two sources can be protected. Since both optimization problems are nonconvex, we solve them by semidefinite program (SDP) relaxation theory. Simulation results show that, via beamforming design, physical layer secrecy of two-way relay networks can be greatly improved and our proposed RBwA outperforms the RBoA in terms of both low power consumption and low infeasibility rate.

• Journal of Communications and Networks
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• 제13권4호
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• pp.377-384
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• 2011

Cooperative beamforming has previously been proven to be an efficient way to improve the cooperative diversity. This method generally requires all relay nodes to participate in beamforming, which can be seen as "all participate" cooperative beamforming. However, not all relay nodes have constructive impacts on the end-to-end bit error rate (BER) performance. Based on this observation, we propose a new cooperative scheme which only selects those "appropriate" relay nodes to perform cooperative beamforming. Such relay nodes can be simply determined with mean channel gains. Therefore, the selection complexity is significantly reduced as global instantaneous channel state information is not required. This scheme guarantees that energy is only allocated to the "appropriate" relay nodes, and hence provides superior diversity. We also prove that power allocation among source and selected relay nodes is a convex problem, and can be resolved with lower computational complexity. Simulation results demonstrate that our scheme achieves an essential improvement in terms of BER performance for both optimal and limited feedback scenarios, as well as high energy-efficiency for the energy-constrained networks.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제11권8호
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• pp.3789-3808
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• 2017

This paper studies a multi-antenna wireless relay network in the presence of a jammer. In this network, the source node transmits signals to the destination node through a multi-antenna relay node which adopts the amplify-and-forward scheme, and the jammer attempts to inject additive signals on all antennas of the relay node. With the linear beamforming scheme at the relay node, this network can be modeled as an equivalent Gaussian arbitrarily varying channel (GAVC). Based on this observation, we deduce the mathematical closed-forms of the capacities for two special cases and the suboptimal achievable rate for the general case, respectively. To reduce complexity, we further propose an optimal structure of the beamforming matrix. In addition, we present a second order cone programming (SOCP)-based algorithm to efficiently compute the optimal beamforming matrix so as to maximize the transmission rate between the source and the destination when the perfect channel state information (CSI) is available. Our numerical simulations show significant improvements of our propose scheme over other baseline ones.

• 한국통신학회논문지
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• 제34권7A호
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• pp.562-567
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• 2009

본 논문에서는 여러 송수신 안테나를 갖는 송신기(source node), 중계기(relay node), 수신기(destination node)로 구성된 두 홉(two-hop) 빔포밍(beamforming) 중계 시스템을 고려한다. 송수신 심벌간 평균제곱오차(mean square error: MSE)를 최소화하는 송수신기 빔포밍 벡터와 중계기 가중치 행렬을 설계한다. 이때, 송신기 또는 중계기에 송신 전력을 줄이기 위하여, 국소(local)부동식전력제약(inequality power constraint)을 사용한다. 제약식이 있는 평균제곱오차 최소화 문제는 라그랑즈(Lagrange) 방법을 써 제약식이 없는 최적화 문제로 바꿀 수 있고, Karush-Kuhn-Tucker (KKT) 조건으로부터 그 해를 얻을 수 있다. 제안한 중계 시스템에 송신기와 중계기 송신전력을 각각 국소부동식으로 제약하여, 그 결과 두 홉에 채널 상태가 다를 경우, 최대 신호대잡음비(signal-to-noise ratio: SNR)를 얻는 기존 방식과 대등한 성능을 내며, 동시에 송신기 또는 중계기 송신 전력을 줄일 수 있다. 이를 모의실험을 통해 확인하였다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제9권11호
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• pp.4483-4501
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• 2015

In this paper, we investigate a security transmission scheme at the physical layer for cooperative wireless relay networks in the presence of a passive eavesdropper. While the security scheme has been previously investigated with perfect channel state information(CSI) in the presence of a passive eavesdropper, this paper focuses on researching the robust cooperative relay beamforming mechanism for wireless relay networks which makes use of artificial noise (AN) to confuse the eavesdropper and increase its uncertainty about the source message. The transmit power used for AN is maximized to degrade the signal-to-interference-plus-noise-ratio (SINR) level at the eavesdropper, while satisfying the individual power constraint of each relay node and worst-case SINR constraint at the desired receiver under a bounded spherical region for the norm of the CSI error vector from the relays to the destination. Cooperative beamforming weight vector in the security scheme can be obtained by using S-Procedure and rank relaxation techniques. The benefit of the proposed scheme is showed in simulation results.

• 한국전자파학회논문지
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• 제21권10호
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• pp.1194-1199
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• 2010

본 논문에서는 빔 성형(beamforming) 기술을 사용하는 릴레이 기반 셀룰러 네트웍에서, 순방향 링크 채널 상태에 대한 제한된 피드백 정보를 이용하여, 동시에 전송되는 송신기과 수신기 사이의 직접 링크(direct link)와 중계기(relay station)와 수신기 사이의 중계 링크(relaying link) 간의 간섭을 효과적으로 억제하는 간섭 회피(interference avoidance) 빔 성형 기술을 제안한다. 이를 위해 송신기는 빔 성형을 사용하여 한정된 공간으로만 직접링크 신호 전력을 전송하고, 송신기의 간섭 전력이 도달하지 않는 공간 영역에 위치한 릴레이들의 relaying을 허용함으로써, 효과적으로 직접 링크와 중계 링크간 간섭을 억제할 수 있는 충돌 회피(collision avoidance) 스케줄링 기술을 제안한다. 시뮬레이션을 통해 제안하는 간섭 회피 빔 성형 기술이 중계 링크의 전송 용량을 보장하면서 동시에 전송되는 직접 링크 전송 용량을 최대화 할 수 있음을 보인다.

• 한국통신학회논문지
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• 제34권5A호
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• pp.408-413
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• 2009

본 논문에서는 평균제곱오차(mean-square-error)를 최소화하며, 여러 사용자 양방향 통신(bidirectional communications)을 지원하는, 증폭-후-전달(amplify-and-forward) 중계기의 송수신 가중치 행렬을 제안한다. 또한, 시스템 전송량을 최대화하는 각 사용자 빔포밍(beamforming) 벡터를 설계한다. 모의실험을 통해 제안한 중계기 가중치로 여러 사용자간 상호채널간섭(co-channel interference)과 양방향 통신에서 발생하는 자기간섭(self-interference)을 효과적으로 줄일 수 있음을 보이고, 또한, 제안한 빔포밍 방식이 공간 다중화(spatial multiplexing) 방식에 비해 증폭-후-전달 중계기 양방향 통신에 적합함을 확인하였다.

• ETRI Journal
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• 제36권4호
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• pp.625-634
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• 2014

This paper studies a dual-hop multiple-access relay network where two independent source nodes transmit information to a common destination node with the aid of multiple single-antenna amplify-and-forward relays. Each relay node is subject to an individual power constraint. We focus on the design of distributed beamforming schemes for the relays to support the transmission rate requirements of the two sources. To this end, we first characterize the achievable rate region for this network via solving a sequence of corner point optimization problems proposed in this paper. We also develop several low-complexity suboptimal schemes in closed form. Two inner bounds of the achievable rate region are theoretically shown to be approximately optimal in two special scenarios. Finally, numerical results demonstrate the effectiveness of our proposed approaches.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제13권2호
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• pp.565-581
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• 2019

This paper investigates the wireless powered two way relay network (WPTWRN), where two single-antenna users and one single-antenna relay firstly harvest energy from signals emitted by a multi-antenna power beacon (PB) and then two users exchange information with the help of the relay by using their harvested energies. In order to improve the energy transfer efficiency, energy beamforming at the PB is deployed. For such a network, to explore the performance limit of the presented WPTWRN, an optimization problem is formulated to obtain the achievable rate region bounds by jointly optimizing the time allocation and energy beamforming design. As the optimization problem is non-convex, it is first transformed to be a convex problem by using variable substitutions and semidefinite relaxation (SDR) and then solve it efficiently. It is proved that the proposed method achieves the global optimum. Simulation results show that the achievable rate region of the presented WPTWRN architecture outperforms that of wireless powered one way relay network architecture. Results also show that the relay location has significant impact on achievable rate region of the WPTWRN.