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Secrecy Outage Probability of Selective Relaying Wiretap Channels with Collaborative Eavesdropping

Phee Lep Yeoh, Nan Yang, Kyeong Jin Kim

Published Dec 1, 2014• 7 citations
Publisher

Abstract

We analyze the secrecy outage probability of selective relaying wiretap channels with K decode- and-forward (DF) relays and N collaborative eavesdroppers. In the main channel, we consider a two-hop relay network where the best relay is selected to transmit and the relay link is combined with the direct source-to-destination link at the destination. In the eavesdropper channel, we consider that the eavesdroppers can collaborate to exchange the information obtained from the source and relays. Different from previous works, we introduce an eavesdropping probability measure to model different intercepting capabilities of the malicious nodes. For this network, we derive new closed-form expressions for the secrecy outage probability in Rayleigh fading channels. The impact of the number of eavesdroppers and the eavesdropping probabilities are accurately reflected in the array gain of the asymptotic secrecy outage probability.

DOI
10.1109/glocom.2014.7417082

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IEEE Journal on Selected Areas in Communications•Apr 9, 2018•11 citations
We analyze the secrecy outage probability of selective relaying wiretap channels with K decode- and-forward (DF) relays and N collaborative eavesdroppers. In the main channel, we consider a two-hop relay network where the best relay is selected to transmit and the relay link is combined with the direct source-to-destination link at the destination. In the eavesdropper channel, we consider that the eavesdroppers can collaborate to exchange the information obtained from the source and relays. Different from previous works, we introduce an eavesdropping probability measure to model different intercepting capabilities of the malicious nodes. For this network, we derive new closed-form expressions for the secrecy outage probability in Rayleigh fading channels. The impact of the number of eavesdroppers and the eavesdropping probabilities are accurately reflected in the array gain of the asymptotic secrecy outage probability.
We analyze the secrecy outage probability of selective relaying wiretap channels with K decode- and-forward (DF) relays and N collaborative eavesdroppers. In the main channel, we consider a two-hop relay network where the best relay is selected to transmit and the relay link is combined with the direct source-to-destination link at the destination. In the eavesdropper channel, we consider that the eavesdroppers can collaborate to exchange the information obtained from the source and relays. Different from previous works, we introduce an eavesdropping probability measure to model different intercepting capabilities of the malicious nodes. For this network, we derive new closed-form expressions for the secrecy outage probability in Rayleigh fading channels. The impact of the number of eavesdroppers and the eavesdropping probabilities are accurately reflected in the array gain of the asymptotic secrecy outage probability.
In this paper, we consider an active eavesdropping scenario in a cooperative system consisting of a source, a destination, and an active eavesdropper with multiple decode-and-forward relays. Considering an existing assumption in which an eavesdropper is also a part of network, a proactive relay selection by the eavesdropper is proposed. The best relay which maximizes the eavesdropping rate is selected by the eavesdropper. A relay selection scheme is also proposed to improve the secrecy of the system by minimizing the eavesdropping rate. Performances of these schemes are compared with two passive eavesdropping scenarios in which the eavesdropper performs selection and maximal ratio combining on the relayed links. A realistic channel model with independent non-identical links between nodes and direct links from the source to both the destination and eavesdropper are assumed. Closed- form expressions for the secrecy outage probability (SOP) of these schemes in Rayleigh fading channel are obtained. It is shown that the relay selection by the proactive eavesdropper is most detrimental to the system as not only the SOP increases with the increase in the number of relays, but its diversity also remains unchanged.
In this paper, a source communicates to the destination with the cooperation of a relay, in the presence of an eavesdropper. All the links undergo Rayleigh fading and perfect decoding at the relays is not considered. The secrecy outage probability expression is evaluated for a decode-and-forward (DF) dual-hop cooperative relay network, both with and without the presence of direct source to eavesdropper transmission link. The performance of the maximal ratio combining (MRC) and selection combining (SC) diversity at the eavesdropper is investigated. Asymptotic and diversity gain analysis for both the single relay and multi-relay system is obtained, when average SNRs of source-relay and relay-destination links are balanced or unbalanced. We have shown that the increase in target secrecy rate and eavesdropper channel quality significantly affects the outage performance of the system. We have investigated the outage probability of optimal relay selection scheme, when either full instantaneous channel state information (ICSI) or statistical channel state information (SCSI) of all the links is available and have shown that there is improvement in the secrecy performance with the increase in the number of relays.
In this paper, we consider a dual-hop decode-and-forward (DF) relay network which consists of a source, a destination and multiple DF relays in the presence of an eavesdropper, where the source transmits its data to the destination with the help of DF relays while the eavesdropper attempts to tap the relay transmissions. We examine the impact of channel estimation errors on the secrecy performance of source-destination transmissions and propose an optimal relay selection scheme for improving the transmission security against eavesdropping. To be specific, the proposed relay selection is designed by considering the fact that the channel state information (CSI) of any link from the source via DF relays to destination is inaccurate with channel estimation errors. The traditional round-robin relay selection is also considered for comparison purposes. We derive close-form expressions of the secrecy outage probability for both the proposed optimal relay selection scheme and traditional round-robin relay selection schemes. Numerical results demonstrate an adverse effect of the channel estimation errors on the secrecy outage probability of cooperative relay systems. Additionally, it is shown that the proposed optimal relay selection scheme substantially outperforms the traditional round-robin selection approach in terms of the secrecy outage probability.
In this work, we analyze the secrecy outage probability of unmanned aerial vehicle (UAV)-aided selective relaying networks with M UAV-transmitters (UTs), N UAV-relays(URs), and K collaborative UAV-eavesdroppers (UEs). In the main channel, the best UT-UR pair is selected to transmit the source message to the destination, while unreliable ground-to-air (G2A) wireless backhaul across multiple UTs is considered. In the eavesdropper channel, the UEs intelligently exchange the information received form the UTs and URs, while eavesdropping probability among UEs is considered. Due to non-ideal line of sight transmission, network congestion, and synchronization, we introduce backhaul reliability to reflect the practical constraint on G2A wireless backhaul. To reflect UEs' synchronization to the main channel and their consumed communication resources for inner-information exchange, we introduce eavesdropping probability to describe the cost of UE collaboration. The exact secrecy outage probability is presented in a closed form. It is shown that the asymptotic secrecy outage probability is exclusively determined by M, N, and backhaul reliability. Simulation results verify the accuracy of the analytical expressions.
This paper investigates the secrecy performance of a finite-sized in-band selective relaying system with M transmitters connected via unreliable backhaul links, N decode-and-forward relays, and K collaborative eavesdroppers. To send the source message to the destination, a transmitter-relay pair that achieves the highest end-to-end signal-to-noise ratio is selected for transmissions, while the K eavesdroppers combine all the received signals from the selected transmitter and relay using maximal ratio combining. The proposed model introduces backhaul reliability and eavesdropping probability parameters to investigate practical constraints on the transmitter-relay cooperation and eavesdropper collaboration, respectively. Closed-form expressions are derived for the secrecy outage probability, probability of non-zero achievable secrecy rate, and ergodic secrecy rate for non-identical frequency-selective fading channels with robust cyclic-prefixed single carrier transmissions. These results show that the asymptotic secrecy outage probability and probability of non-zero achievable secrecy rate are exclusively determined by the number of transmitters M and their corresponding set of backhaul reliability levels. Under unreliable backhaul connections, it is found that the secrecy diversity gain is determined by M, N, and the number of multipath components in the frequency selective fading channels. Link-level simulations are conducted to verify the derived impacts of backhaul reliability and collaborative eavesdropping on the secrecy performance.