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arXiv:2504.02506 · IEEE Vehicular Technology Conference

Secrecy Performance of a Keyhole-Based Multi-User System With Multiple Eavesdroppers

Parwez Alam, Ankit Dubey, Jules Merlin Moualeu, Telex M. N. Ngatched, Chinmoy Kundu

Published Jun 17, 2025• 4 citations
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Abstract

This paper investigates the secrecy performance of a keyhole-aided multi-user communication network in the presence of multiple eavesdroppers. The communication happens through the same keyhole for legitimate users and eavesdroppers. In this context, the secrecy performance is evaluated for a user scheduling technique by obtaining the exact closed-form expression of secrecy outage probability (SOP). Further, a simplified asymptotic SOP expression is derived assuming high signal-to-noise ratio (SNR) scenario for a better understanding of the impact of system parameters. The effect of the keyhole parameters, number of users, number of eavesdroppers, and threshold secrecy rate on the SOP performance are also investigated for the considered system model. In the high-SNR regime, the asymptotic SOP saturates to a constant value and does not depend on the keyhole parameter and the channel parameter of the source-to-keyhole channel.

DOI
10.1109/vtc2025-spring65109.2025.11174874

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This paper investigates the secrecy performance of a keyhole-aided multi-user communication network in the presence of multiple eavesdroppers. The communication happens through the same keyhole for legitimate users and eavesdroppers. In this context, the secrecy performance is evaluated for a user scheduling technique by obtaining the exact closed-form expression of secrecy outage probability (SOP). Further, a simplified asymptotic SOP expression is derived assuming high signal-to-noise ratio (SNR) scenario for a better understanding of the impact of system parameters. The effect of the keyhole parameters, number of users, number of eavesdroppers, and threshold secrecy rate on the SOP performance are also investigated for the considered system model. In the high-SNR regime, the asymptotic SOP saturates to a constant value and does not depend on the keyhole parameter and the channel parameter of the source-to-keyhole channel.
Multiple antennas aided wireless communications under dense urban environments often suffer from keyhole effect, which leads to rank deficiency. Secrecy performance of artificial noise (AN) aided multiple-input multiple-output multiple-antenna eavesdropper (MIMOME) keyhole channels is investigated in this paper. Expressions of the asymptotic lines of some vital secrecy metrics are obtained in terms of secrecy outage probability (SOP) and average secrecy rate (ASR) in the high signal-to-noise ratio (SNR) regime, and are verified by Monte-Carlo simulations. It is shown that the secrecy performance is influenced by the antenna numbers at the transceiver and the eavesdropper. Most importantly, by comparing the scheme aided with AN to that without AN, it is found that AN plays a great role in enhancing security of MIMOME keyhole channels.
The inherent openness of wireless networks exposes them to eavesdropping threats. In dense urban environments, signal propagation is frequently characterized by the keyhole effect, which causes channel rank deficiency and cascaded fading, challenging the assumptions of conventional multiple-input multiple-output (MIMO) physical layer security. This paper investigates the secrecy performance of MIMO multiple-antenna-eavesdropper (MIMOME) systems over keyhole channels with independent legitimate and eavesdropper links. We analyze the secrecy performance under three progressive scenarios: perfect CSI without artificial noise (AN), perfect CSI with AN-aided transmission, and practical imperfect CSI with AN. Specifically, we derive closed-form asymptotic expressions for the secrecy outage probability (SOP) and average secrecy rate (ASR) in the high signal-to-noise ratio (SNR) regime using Meijer G-functions and Gauss hypergeometric functions, from which the secrecy diversity order and secrecy array gain are explicitly extracted. The analytical results reveal that AN injection successfully restores the secrecy diversity order from zero to one, while imperfect CSI causes AN leakage that leads to ASR saturation and an SOP floor. The derived asymptotic expressions are verified by Monte Carlo simulations. Our findings provide theoretical guidelines by quantifying the trade-off between AN suppression capabilities and self-interference in cascaded fading environments.
This paper investigates the impact of opportunistic user scheduling scheme on the secure transmission for the integrated satellite terrestrial relay systems (ISTRS), where multiple legitimate terrestrial users and multiple eavesdroppers are concerned in the system. In order to obtain the best secrecy performance, the terrestrial user with the optimal signal-to-noise ratio (SNR) is selected by employing opportunistic scheduling scheme to receive the signal. In addition, this paper considers two representative eavesdropping cases, i.e., Case I which is shown as the colluding case; the eavesdroppers work together and overhear the main channel, and Case II, which is called by non-colluding case: the eavesdropper with the largest SNR will be selected to overhear the legitimate users' channel. Furthermore, we obtain the closed-form expression for the secrecy outage probability (SOP) relied on the given scheduling scheme between two representative wiretapping cases. In order to obtain further results in high SNR regime, approximate SOP expressions under both cases are also derived. At last, some meaningful Monte Carlo (MC) simulation results are given to show the correctness of the theoretical results.
In this paper, we investigate the secrecy performance of multiuser dual-hop relay networks where a base station (BS) communicates with multiple legitimate users via the assistance of a trustful regenerative relay in the presence of multiple eavesdroppers. In particular, the maximal ratio transmission (MRT) scheme is exploited at the BS and a threshold-based multiuser scheduling scheme is employed over the legitimate users, while concerning the imperfect decoding at the regenerative relay. Furthermore, we consider the passive eavesdropper scenario and non-colluding eavesdropping mode. In order to quantify the secrecy performance of the considered system, the new exact closed-form expression for the secrecy outage probability is derived. In addition, conducive and simple high SNR approximation for the secrecy outage probability is also presented, which capacitates further insights into the impact of key system parameters on secrecy performance. Numerical results are provided to verify our theoretical analyses and illustrate the impact of key system parameters on the secrecy outage performance.
Ensuring physical layer security for low-altitude economic networking (LAENet) is critical due to the broadcast nature of wireless channels. In dense urban environments, multi-antenna LAENet systems are often impaired by the keyhole effect, which induces rank deficiency and poses significant security challenges. This paper investigates the secrecy performance of a multiple-input multiple-output multiple-antenna eavesdropper (MIMOME) system in LAENet with keyhole channels. Depending on the availability of channel state information (CSI) at the transmitter, three wiretap scenarios are considered: (i) broadcasting, (ii) passive eavesdropping, and (iii) spoofing. For each scenario, the optimal precoder is designed to maximize the secrecy transmission rate. Based on these designs, we derive closed-form expressions for the secrecy outage probability (SOP) and average secrecy rate (ASR). To provide insights into the effect of keyholes on secrecy diversity order and array gain under this severe rank-deficiency structure, we also obtain asymptotic expressions for SOP and ASR in the high signal-to-noise ratio (SNR) regime using the Mellin transform. Numerical results validate the analytical expressions and illustrate the influence of key parameters on secrecy performance. These findings provide meaningful guidance for the secure design of future LAENet deployments.
This paper investigates physical layer security in multi-antenna keyhole systems with imperfect channel state information (CSI). In dense urban environments, rank-deficient channels, specifically the rank-one keyhole effect, significantly degrade secrecy performance. We derive closed-form asymptotic expressions for the secrecy outage probability (SOP) and average secrecy rate (ASR) in the high signal-to-noise ratio (SNR) regime. Based on the analytical results and Monte-Carlo simulations, the impacts of key parameters, such as Alice's antenna number and CSI error variance, are quantified and discussed, which provides insights into robust secrecy design.