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Globecom

Jamming Power Control for Secure Communication via Untrusted Relay with Imperfect Channel Estimation

Junseob Lee, Kisong Lee

Published Dec 1, 2019• 1 citation
Publisher

Abstract

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.

DOI
10.1109/globecom38437.2019.9013632

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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.
In an untrusted relay network where a destination transmits a jamming signal to prevent an untrusted relay from recovering the data sent by a source, we consider imperfect channel reciprocity (ICR) between the relay and the destination. This ICR prevents the destination from removing jamming interference perfectly, meaning that transmit power of the jamming signal has a significant impact on the secrecy rate. In this article, we present a system model of an untrusted relay network with ICR, and verify that the secrecy rate is concave with respect to the jamming power. We derive an asymptotic optimal jamming power to maximize the secrecy rate in closed-form and propose an adaptive scheme for jamming power control (JPC). Numerical results show that the proposed JPC scheme achieves a near-optimal secrecy rate, as well as outperforming conventional schemes by controlling the jamming power adaptively. In particular, we note that to improve the secrecy rate, it is advantageous to reduce the jamming power to decrease the residual jamming interference as the reciprocity error increases or the channel between the relay and the destination improves.
In this paper, we consider secure communication via a wireless-powered untrusted relay with outdated channel state information (CSI). The low security clearance of the relay means that both the source and destination wish to keep information confidential from it. To prevent the relay from decoding the source information, the destination emits a jamming signal to the relay during data transmission by the source. The wireless-powered relay uses both the data and the jamming signals as valuable sources of energy for the amplify-and-forward relaying process. In addition, it can adopt either a power splitting or a time switching policy to determine the proportions of energy harvesting and information processing. However, when the CSI of the relay-to-destination link is outdated, the destination cannot remove the jamming signal completely from the relaying signal due to imperfect channel reciprocity. To evaluate the effect of outdated CSI on the secrecy performance, we derive the analytical expressions of two performance metrics, outage probability (Pout) for delay-limited transmission and ergodic secrecy rate (R̅) for delay-tolerant transmission. The results of the analysis also allow us to find the jamming power level and energy harvesting ratio to optimize Poutand R̅, respectively. Numerical simulations are used to verify the precision of our analysis, and confirm that the proposed secure relaying protocols accomplish near-optimal secrecy performances. Our results indicate that there is a need to reduce the jamming power level to ensure secure communication when the channel is severely outdated, while outdated CSI has a relatively low impact on the energy harvesting ratio.
In this paper, we investigate secure transmission in untrusted amplify-and-forward half-duplex relaying networks with the help of cooperative jamming at the destination (CJD). Under the assumption of full channel state information (CSI), conventional CJD using self-interference cancellation at the destination is efficient when the untrusted relay has no capability to suppress the jamming signal. However, if the source and destination are equipped with a single antenna and the only untrusted relay is equipped with N multiple antennas, it can remove the jamming signal from the received signal by linear filters and the full multiplexing gain of relaying cannot be achievable with the conventional CJD due to the saturation of the secrecy rate at the high transmit power regime. We propose in this paper new CJD scheme where neither destination nor relay can acquire CSI of relay-destination link. Our proposed scheme utilizes zero-forcing cancelation based on known jamming signals instead of self-interference subtraction, while the untrusted relay cannot suppress the jamming signals due to the lack of CSI. We show that the secrecy rate of the proposed scheme can enjoy a half of multiplexing gain in half-duplex relaying while that of conventional CJD is saturated at high transmit power for N ≥2. The impact of channel estimation error at the destination is also investigated to show the robustness of the proposed scheme against strong estimation errors.
By taking a variety of realistic hardware imperfections into consideration, we propose an optimal power allocation (OPA) strategy to maximize the instantaneous secrecy rate of a cooperative wireless network comprised of a source, a destination, and an untrusted amplify-and-forward relay. We assume that either the source or the destination is equipped with a large-scale multiple antennas' system, while the rest are equipped with a single antenna. To prevent the untrusted relay from intercepting the source message, the destination sends an intended jamming noise to the relay, which is referred to as destination-based cooperative jamming. Given this system model, novel closed-form expressions are presented in the high signal-to-noise ratio regime for the ergodic secrecy rate and the secrecy outage probability. We further improve the secrecy performance of the system by optimizing the associated hardware design. The results reveal that by beneficially distributing the tolerable hardware imperfections across the transmission and reception radio-frequency front ends of each node, the system's secrecy rate may be improved. The engineering insight is that equally sharing the total imperfections at the relay between the transmitter and the receiver provides the best secrecy performance. Numerical results illustrate that the proposed OPA together with the most appropriate hardware design significantly increases the secrecy rate.
A two-hop relay network is considered, in which an eavesdropper can overhear the relaying signal. To prevent the eavesdropper from decoding this signal, a destination transmits a jamming noise while a source transmits the data signal to the relay. At the same time, the relay can harvest energy from both the source signal and the jamming noise, and use this harvested energy to forward the received signal to the destination. In such a wireless-powered relay system with cooperative jamming, we propose two adaptive relaying schemes based on power splitting and time switching techniques. In the proposed power splitting-based relaying (PSR) and time switching-based relaying (TSR) schemes, the relay controls the power splitting ratio (p) and time switching ratio (α), respectively, in order to achieve a balance between signal processing and energy harvesting. We find analytically the optimal values of p and α in each scheme to maximize the secrecy capacity under the assumption of high signal-to-noise ratio (SNR). Interestingly, although the eavesdropper's channel state information (CSI) is used in the derivation of the optimal control parameters (p and α), they are shown not to be affected by the eavesdropper's CSI in a high SNR regime. This implies that the proposed schemes can be effective even for practical environments where there is no eavesdropper's CSI. Furthermore, simulation results show that they well coincide with the exact solutions in practical environments even though the closed-form solutions are obtained with a high SNR assumption. Moreover, the comparisons of PSR and TSR in various scenarios show that the two relaying schemes have complementary performances depending on the network conditions. Specifically, PSR achieves greater secrecy capacity than TSR when the channel condition is unfavorable to the eavesdropper for wiretapping.
We address the problem of secure wireless communications over an untrusted full-duplex (FD) relay based on the source jamming scheme. The optimal power allocation between the confidential signal and the jamming signal is derived to maximize the secrecy rate. Then, the corresponding secrecy outage probability (SOP) and the average secrecy rate (ASR) are analyzed. A tight approximation and an asymptotic result are further obtained for the single-antenna destination case both in simple forms. The large-antenna destination case is also analyzed rigorously. Further discussion reveals that transmit-power dependent self-interference has significant negative impact on the secrecy performance.