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European Signal Processing Conference (EUSIPCO)

Improving secrecy rate via cooperative jamming based on Nash Equilibrium

Nida Zamir, Bakhtiar Qutub Ali, Muhammad Fasih Uddin Butt, Soon Xin Ng

Published Aug 1, 2016• 2 citations
Publisher

Abstract

This paper investigates a power control scheme for cooperative cognitive communication system which employs an untrusted relay. More explicitly, a friendly jammer transmits a jamming signal enabling secure communication between the source and the destination, in the presence of an untrusted relay. In return, the source compensates the potential jammer with an access to its bandwidth for a fraction of its time period. In addition, cooperative jammer defines its jamming power through Nash-Equilibrium for improving the secrecy rate. In our proposed scheme, we employ only one jammer and place it on different locations in order to analyze the secrecy rate achieved and the utility of the jammer. Additionally, we fix the positions of the source and the destination while the relay is moved at different locations.

DOI
10.1109/eusipco.2016.7760245

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This paper investigates a power control scheme for cooperative cognitive communication system which employs an untrusted relay. More explicitly, a friendly jammer transmits a jamming signal enabling secure communication between the source and the destination, in the presence of an untrusted relay. In return, the source compensates the potential jammer with an access to its bandwidth for a fraction of its time period. In addition, cooperative jammer defines its jamming power through Nash-Equilibrium for improving the secrecy rate. In our proposed scheme, we employ only one jammer and place it on different locations in order to analyze the secrecy rate achieved and the utility of the jammer. Additionally, we fix the positions of the source and the destination while the relay is moved at different locations.
This paper investigates the achievable secrecy regions when employing a friendly jammer in a cooperative scenario employing an untrusted relay. The untrusted relay which helps to forward the source signal towards the destination, could also be regarded as a potential eavesdropper. Our system employs a friendly jammer which sends a known noise signal towards the relay. In this paper, we investigate the effect of jammer and relay locations on the achievable secrecy rate. We consider two scenarios where in the first case we consider no direct transmission between the source and destination, while in the second case we include a source to destination direct link in our communication system.
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.
In this paper, we consider a two-way relay system where the two sources can only communicate through an untrusted intermediate relay and investigate the physical layer security issue in this two-way untrusted relay scenario. Specifically, we regard the intermediate relay as an eavesdropper from which the information transmitted by the sources needs to be kept confidential, despite the fact that its cooperation in relaying this information is essential. We first indicate that a nonzero secrecy rate is indeed achievable in this two-way untrusted relay system even without the help of external friendly jammers. As for the system with friendly jammers, after further analysis, we can obtain the secrecy rate of the sources can be effectively improved by utilizing proper jamming power from the friendly jammers. Then, we formulate a Stackelberg game between the sources and the friendly jammers as a power control scheme to achieve the optimized secrecy rate of the sources, in which the sources are treated as the sole buyer and the friendly jammers are the sellers. In addition, the optimal solutions of the jamming power and the asking prices are given, and a distributed updating algorithm to obtain the Stackelberg equilibrium is provided for the proposed game. Finally, the simulation results verify the properties and efficiency of the proposed Stackelberg-game-based scheme.
In this paper, a multicast network in the presence of an untrusted relay is investigated.A three-phase AF-based cooperative jamming with power allocation is proposed to enhance the system secrecy rate.Based on time division based cooperative multicast (TDCM) protocol, the source uses part of its available power to broadcast pre-defined jamming signals in order to create interference at the untrusted relay, while the relay amplifies the linearly combined two received signals and then re-transmits it to the destination.Optimum power allocation policy involving the allocation between the information and jamming signals at the source and between two combined signal factors at the relay to maximize the achievable worse secrecy rate or sum-rate are derived and analyzed.Numerical results are provided to demonstrate our analytical results and reveal that compared with the two benchmarks schemes, the proposed scheme can obtain significantly higher positive secrecy rate for the same transmit power budget, especially in the case of maximizing secrecy sum-rate.
This paper investigates a secure communication via an untrusted relay with channel estimation error, in which a destination-assisted jamming strategy is adopted to prevent the relay from recovering a source signal. In the presence of channel estimation error in the relay-to-destination link, a destination cannot decode the source signal as well as eliminate a jamming signal perfectly, which causes a serious degradation in secrecy performance. Therefore, it is required to propose an effective strategy to determine jamming power level for maximizing secrecy rate. Under the assumption of high transmit signal-to-noise ratio, we derive the closed-form expression of a suboptimal jamming power ratio and propose an adaptive jamming power allocation which can be operated in practical systems. Numerical results confirm that the proposed scheme outperforms the conventional scheme in terms of secrecy rate.
This paper investigates the cooperative communication system with untrusted relay using the new scheme that the source transmits the jamming signals and the source signals at the same time. We exploit greedy power allocation algorithm to divide the source power to ensure maximum secrecy capacity. Besides, we analyze the situation that external eavesdropper and untrusted relay exist at the same time. At the end of the paper, BPSK modulation and demodulation scheme is given as an example, and SER is used to estimate the performance of the system. The simulation results show that the scheme can resist both internal and external eavesdropping nodes.