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International Conference on Wireless Communications and Signal Processing (WCSP)

Combined relay selection and secure beamforming for decode-and-forward networks with multiple eavesdroppers

Zhongjian Liu, Xiaoning Zhang, Chen Chen, Haige Xiang

Published Oct 1, 2013• 5 citations
Publisher

Abstract

In this paper, we investigate a two-stage cooperative network consisting of one source, one corresponding destination, multiple eavesdroppers, and several intermediate nodes. In the first stage, the source selects several relays from the intermediate nodes and broadcasts its message to them. In the second stage, the selected nodes operating as the decode-and-forward (DF) relays perform collaborative beamforming for the secure data transmission that prevents eavesdropping. We study the relay selection and secure beamforming problem considering both the achievable rate in the first stage and the secrecy rate constraint in the second stage, whereas the existing works leave out of the transmission in the first stage. We propose two combined relay selection and beamforming schemes. The first scheme is to maximize the secrecy rate of the relay selection and beamforming with the achievable rate constraint in the first stage. To reduce the complexity of the first scheme, the second scheme combines relay selection and a suboptimal secure beamforming scheme, in which we hypothesize a virtual eavesdropper instead of all eavesdroppers and maximize the secrecy rate according to the virtual eavesdropper. Simulation results show that the performance of our first scheme is the same as that of the exhaustive search scheme, and the second scheme significantly reduces the complexity with acceptable performance degradation.

DOI
10.1109/wcsp.2013.6677083

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In this paper, we investigate a two-stage cooperative network consisting of one source, one corresponding destination, multiple eavesdroppers, and several intermediate nodes. In the first stage, the source selects several relays from the intermediate nodes and broadcasts its message to them. In the second stage, the selected nodes operating as the decode-and-forward (DF) relays perform collaborative beamforming for the secure data transmission that prevents eavesdropping. We study the relay selection and secure beamforming problem considering both the achievable rate in the first stage and the secrecy rate constraint in the second stage, whereas the existing works leave out of the transmission in the first stage. We propose two combined relay selection and beamforming schemes. The first scheme is to maximize the secrecy rate of the relay selection and beamforming with the achievable rate constraint in the first stage. To reduce the complexity of the first scheme, the second scheme combines relay selection and a suboptimal secure beamforming scheme, in which we hypothesize a virtual eavesdropper instead of all eavesdroppers and maximize the secrecy rate according to the virtual eavesdropper. Simulation results show that the performance of our first scheme is the same as that of the exhaustive search scheme, and the second scheme significantly reduces the complexity with acceptable performance degradation.
In this paper, the security of two-phase relaying system with multiple intermediate nodes in the presence of a malicious eavesdropper is investigated. To enhance the secrecy, a joint cooperative beamforming and jamming combined with relay and jammer selection is proposed. First, the source broadcasts its signal to the relays that are located close to source in a cluster, i.e., the source node uses a small amount of power to broadcast its message locally to other nodes of the cluster, while destination and the eavesdropper are located outside this cluster. In the second phase, two relays transmit re-encoded signal with optimal beamforming such that the secrecy rate is maximized. Simultaneously, two other intermediate nodes (which act as friendly jammers) transmit random jamming signals to degrade the eavesdropper’s channel. Our goal in this paper is to maximize the secrecy rate by applying different methods such as cooperative beamforming, cooperative jamming and relay and jammer selection. To avoid operational complexity, we consider the minimum number of intermediate nodes needed for relaying and jamming without losing the performance, i.e., achieving a non-zero secrecy rate. Cooperative beamforming with multiple relays demands high amount of information exchange and therefore increases the operational complexity. Thus, we aim to reduce the number of relays which take part in cooperative beamforming. Limiting the number of relays may have a bad effect on the coding gain which we compensate it with a proposed selection gain scheme. Numerical results demonstrate the advantage of our proposed scheme compared to the scheme with no cooperative jamming. The main contribution of this work is combining cooperative beamforming and jamming with relay and jammer selection to enhance the physical layer security.
This letter studies cooperative secure beamforming for amplify-and-forward (AF) relay networks in the presence of multiple eavesdroppers. Under both total and individual relay power constraints, we propose two schemes, namely secrecy rate maximization (SRM) beamforming and null-space beamforming. In the first scheme, our design problem is based on SRM. Using a suboptimal, but convex, technique-semidefinite relaxation (SDR), we show that this problem can be handled by performing a one-dimensional search which involves solving a sequence of semidefinite programs (SDPs). To reduce the complexity, in the second scheme, we instead maximize the information rate at the destination while completely eliminating the information leakage to all eavesdroppers. We prove that this problem can be exactly solved by SDR with one SDP only. Simulation results demonstrate the performance gains of the two proposed designs.
In this paper, we consider secure communications of one source-destination pair in wireless multi-hop decode-and-forward (DF) relay networks. In the presence of an eavesdropper, we derive an optimal power allocation strategy to maximize achievable secrecy rates under an overall transmit power constraint assuming that a single relay is located at each individual hop. We demonstrate that the optimal power allocation is obtained when the overall power constraint and the DF-relaying constraints necessary to guarantee that each DF relay correctly decodes the information signals hold with equality, which rely on channel conditions between the source, relays, and destination. The channel conditions for the eavesdropper are shown to only influence relays that may be inactive for secrecy rate maximization. We also consider multiple cooperative relays at each hop to perform cooperative beamforming in the presence of multiple eavesdroppers. To improve the secrecy rate in multi-hop relay networks, which include more than two hops, we propose an iterative cooperative beamformer design and transmit power allocation scheme with relay selection. Numerical results are presented to investigate the secrecy capacity obtained by the optimal power allocation in multi-hop DF relay networks and to confirm the secrecy rate enhancement of the proposed cooperative beamforming scheme.
This paper proposes a new joint cooperative beamforming and jamming (JCBJ) scheme for improving the physical layer security of decode-and-forward wireless networks where a source node transmits to its destination with the aid of multiple intermediate nodes in the presence of an eavesdropper. In the proposed JCBJ scheme, we select the intermediate nodes succeeding in source decoding as the relays to forward the source transmission simultaneously by employing a beamforming weight vector, and meanwhile, use the remaining ones as the friendly jammers to disturb the eavesdropper by sending artificial noise. In order to achieve the secrecy rate maximum, we further study on the power allocation among the source, relays, and jammers under two assumptions of the wiretap link's channel state information. We derive the closed-form optimal solutions by first allocating the transmit power at the source within different ranges to consider all the possible relay selection schemes in which different numbers of relays are employed, and then transforming the multivariable power allocation problem to a set of single-variable optimization subproblems. Our numerical results show the superiority of the proposed JCBJ scheme and the proposed power allocation strategies.
In this paper, three different relay and jammers selection schemes are presented to improve the physical layer security of two-way cooperative networks in the presence of multiple cooperating and non-cooperating eavesdroppers. The presented selection schemes are; optimal selection scheme without jamming, optimal selection scheme with conventional jamming, and optimal selection scheme with controlled jamming. The proposed schemes select three intermediate nodes during two communication phases. In the first phase, a friendly jammer is selected to create intentional interference at the eavesdroppers' nodes. In the second phase, two relay nodes are selected; one node is selected to operate as a conventional relay and assists the sources to deliver their data to the corresponding destinations via a Decode-and-Forward (DF) strategy. While the other node behaves as a jammer node in order to confuse the eavesdroppers in this phase. The proposed schemes are analyzed in terms of ergodic secrecy rate and secrecy outage probability. The obtained results show that the jamming schemes outperform the non-jamming schemes in the eavesdroppers' environment. Moreover, cooperating eavesdroppers' further degrade system's secrecy performance than the non-cooperating ones. Finally, a comparison between relay and jammers selection schemes in both one-way and two-way cooperative networks is given in terms of both ergodic secrecy rate and secrecy outage probability metrics.
The broadcast nature of wireless communications makes the propagation medium vulnerable to security attacks such as eavesdropping and jamming from adversarial or unauthorized users. Applying physical layer secrecy approaches will enable the exchange of confidential messages over a wireless medium in the presence of unauthorized eavesdroppers, without using any secret keys. However, physical layer security approaches are typically feasible only when the source-eavesdropper channel is weaker than the source-destination channel. Cooperative jamming can be used to overcome this challenge and increase the secrecy rate. In this paper, the security of two-phase relaying system with multiple intermediate nodes and in the presence of an eavesdropper is investigated. To enhance the system secrecy rate, a joint cooperative beamforming and jamming combined with relay and jammer selections is proposed. In phase I, the source node broadcasts a signal to relays while three intermediate nodes (which act as jammers) help the source node by transmitting random jamming signals to confuse the eavesdropper. Since the friendly (cooperative) jammers create interference for both the intended relays and the eavesdropper, optimal beamforming is applied such that no interference is caused at two preselected desired relays (that are going to receive the confidential massage in phase I). In phase II, two preselected relays transmit the source message with beamforming coefficients such that the received signal at the eavesdropper is completely nulled out. Our goal in this paper is to minimize the received SNR at the eavesdropper while increasing it at the destination as much as possible by applying different methods such as cooperative beamforming, cooperative jamming and relay selection. To avoid operational complexity, we consider the minimum number of intermediate nodes that are necessary without losing the performance. Numerical results demonstrate the advantage of our proposed scheme compared with the scheme with no cooperative jamming.