Abstract

In this study, the authors study the problem of secure transmission in two-hop amplify-and-forward systems with an untrusted relay. To prevent the untrusted relay from intercepting the source message and to achieve positive secrecy rate, the destination-based cooperative jamming technique is used. In this method, the destination sends an intended jamming signal to the relay. This jamming signal helps protecting the source message from being captured reliably at the untrusted relay, while the destination cancels itself intended jamming signal. The optimal power allocation (OPA) strategy is considered for the proposed system. They observe that the objective function is a quasi-concave function at high signal-to-noise-ratio regimes. Based on this OPA strategy, in the first step, the outage probability of the system is investigated. It is investigated for three cases. In the two cases, either of the source or the destination node is equipped with large-scale antennas, and in the third case, both of them are equipped with large-scale antenna arrays. In all the cases, the closed-form expressions are derived. In the second step, they investigate the ergodic secrecy rate and present the closed-form solutions for all the mentioned cases. Finally, simulation results indicate the accuracy of the derived equations.

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