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arXiv:2102.07582 · IEEE Vehicular Technology Conference

Transmitter Selection for Secrecy in a Frequency Selective Fading Channel with Unreliable Backhaul

Shashi Bhushan Kotwal, Chinmoy Kundu, Sudhakar Modem, Ankit Dubey, Mark F. Flanagan

Published Apr 1, 2021• 5 citations
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Abstract

In this paper, a communication network using single carrier with cyclic prefix modulation over frequency selective channels is considered, where an access point provides connectivity to a legitimate destination through multiple transmitters with unreliable backhaul links in the presence of an eavesdropper. A sub-optimal and an optimal transmitter selection scheme are proposed to improve the secrecy of the system, depending on whether the active backhaul channel knowledge is available a priori or not. The secrecy outage probability (SOP) and its asymptotic limit are presented in closed-form. This provides some insights regarding how knowledge of the active backhaul links affects the secrecy performance of the network. Our results show that the optimal transmitter selection scheme obtains a larger benefit than the sub-optimal scheme from the knowledge of the active backhaul links, resulting in a significantly improved system performance; however, the sub-optimal transmitter selection scheme can reduce the complexity and feedback overhead.

DOI
10.1109/vtc2021-spring51267.2021.9448991

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In this paper, a communication network using single carrier with cyclic prefix modulation over frequency selective channels is considered, where an access point provides connectivity to a legitimate destination through multiple transmitters with unreliable backhaul links in the presence of an eavesdropper. A sub-optimal and an optimal transmitter selection scheme are proposed to improve the secrecy of the system, depending on whether the active backhaul channel knowledge is available a priori or not. The secrecy outage probability (SOP) and its asymptotic limit are presented in closed-form. This provides some insights regarding how knowledge of the active backhaul links affects the secrecy performance of the network. Our results show that the optimal transmitter selection scheme obtains a larger benefit than the sub-optimal scheme from the knowledge of the active backhaul links, resulting in a significantly improved system performance; however, the sub-optimal transmitter selection scheme can reduce the complexity and feedback overhead.
This paper investigates the secrecy performance of sub-optimal transmitter selection and optimal selection schemes in a system comprising multiple transmitters, multiple eavesdroppers, and a single destination in frequency-selective fading channels with single-carrier cyclic-prefixed modulation. Considering unreliable backhaul links between the access point and the transmitters, we analyze secrecy performance in two scenarios: when backhaul activity knowledge is available (KA) and when backhaul activity knowledge is unavailable (KU). Closed-form expressions for the secrecy outage probability (SOP) and the ergodic secrecy rate (ESR) are derived. Our analytical results show that in the backhaul KA scenario, the asymptotic limit of the SOP and the slope of the ESR are affected only by the number of transmitters and the backhaul reliability factor, and not by other system parameters. In contrast, only the backhaul reliability factor affects these two performances in the backhaul KU scenario. These performances are independent of the number of eavesdroppers in both backhaul KA and KU scenarios. Our findings demonstrate that acquiring knowledge of the activity of backhaul links yields better secrecy performance as compared to acquiring knowledge of the channel state information of the eavesdroppers. We also show that the secrecy diversity order of both selection schemes under perfectly reliable (wired) backhaul links is identical.
The secrecy performance of a system consisting of multiple transmitters with unreliable backhaul links is explored in this paper. To improve secrecy, we propose a novel transmitter selection (TS) scheme that selects a transmitter with the maximum ratio of the destination channel power gain to the eavesdropping channel power gain. The backhaul reliability factor is incorporated with the distribution of the channel power gain through the utilization of a mixture distribution. We evaluate the non-zero secrecy rate (NZR) and the secrecy outage probability (SOP) as well as their asymptotes in two cases of backhaul activity knowledge, where it is available and where it is unavailable. The results illustrate that because of the unreliable backhaul, the proposed destination-to-eavesdropper channel power gain ratio-based TS scheme is constrained in terms of secrecy performance. However, performance enhancements are observed when the backhaul knowledge activity is utilized. Furthermore, the proposed scheme outperforms all the sub-optimal TS schemes and achieves nearly optimal performance without requiring noise power or the evaluation of the exact secrecy rate measurement.
In this paper, the secrecy performance of finite-sized cooperative cyclic prefixed single carrier systems with multiple eavesdroppers and unreliable wireless backhaul connections across multiple transmitters is investigated. For nonidentical frequency-selective fading channels between the relay and destination nodes, secrecy performance metrics including the secrecy outage probability, ergodic secrecy rate, and probability of nonzero achievable secrecy rate are derived. Furthermore, the existence of performance limits on the secrecy outage probability and probability of non-zero achievable secrecy rate are verified for various backhaul scenarios. These limits are found to be exclusively determined by the backhaul reliability. For imperfect backhaul connections, it is found that the diversity gain promised by cooperative cyclic prefixed single-carrier systems cannot be achieved in the conventional asymptotic high signal-to-noise ratio region. Link-level simulations are conducted to verify the derived impact of backhaul reliability on the secrecy performance.
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.
In this paper, the secrecy outage probability of cooperative cyclic prefixed single carrier (CP-SC) systems with multiple transmitters and unreliable backhaul connections is derived. The transmitters communicate with the destination in the presence of an eavesdropper over two-hop relay channels with non-identical frequency-selective fading. The existence of asymptotic limits on the secrecy outage probability is verified for various backhaul scenarios. For a fixed eavesdropper signal-to-noise ratio (SNR), the limit is found to be exclusively determined by the backhaul reliability. This shows that the diversity gain promised by cooperative CP-SC systems cannot be achieved in the high SNR region. Simulations are presented to verify the derived impact of backhaul reliability on the secrecy performance.
Abstract Due to the exponential growth of interconnected devices and reduced cell coverage, beyond fifth‐generation networks will be dense. Thus, instead of wired backhaul, wireless backhaul will be cost‐effective and flexible. For security in multi‐transmitter systems, sub‐optimal and optimal transmitter selection schemes exist. However, including backhaul activity knowledge available (BKA) and backhaul activity knowledge unavailable (BKU) cases and transmitter selection schemes, there is no generalized secrecy analysis method. Moreover, evaluation of the ergodic secrecy rate (ESR) of the optimal selection schemes is impossible using existing solution approaches. To address these, two sub‐optimal and optimal transmitter selection schemes are proposed for a small‐cell multi‐transmitter system in BKU or BKA cases in the presence of multiple colluding eavesdroppers. The distribution of the ratio of the destination channel SNR and eavesdropping channel SNR is derived, thereby providing different secrecy performance metrics uniformly irrespective of selection schemes and BKU or BKA cases. Simplified asymptotic expressions are provided to elucidate the influence of the system parameters and of the backhaul reliability. It is observed that the secrecy performance improves when the knowledge of backhaul link activity is utilized, and the improvement is most noticeable when the backhaul is highly unreliable. It is also observed that while the secrecy performance degrades with an increasing number of eavesdroppers, neither the asymptotic saturation value of the secrecy outage probability nor the rate of improvement of the ESR with signal‐to‐noise‐ratio depends on the number of eavesdroppers.