China Communications

Secrecy performance analysis considering channel correlation of MIMO scenario in physical layer security

Zhang Jiuning, Xuanli Wu, Xu Zhicong, Tingting Zhang, Tao Xu, Meng Xiangyun

Published Jun 1, 2025• 0 citations

Abstract

Physical layer security is an important method to improve the secrecy performance of wireless communication systems. In this paper, we analyze the effect of employing channel correlation to improve security performance in multiple-input multiple-output (MIMO) scenario with antenna selection (AS) scheme. We first derive the analytical expressions of average secrecy capacity (ASC) and secrecy outage probability (SOP) by the first order Marcum Q function. Then, the asymptotic expressions of ASC and SOP in two specific scenarios are further derived. The correctness of analytical and asymptotic expressions is verified by Monte Carlo simulations. The conclusions suggest that the analytical expressions of ASC and SOP are related to the product of transmitting and receiving antennas; increasing the number of antennas is beneficial to ASC and SOP. Besides, when the target rate is set at a low level, strong channel correlation is bad for ASC, but is beneficial to SOP.

DOI: 10.23919/jcc.ja.2023-0039

Related papers

Secrecy Performance Analysis for MIMO Relay System with Transmit/Receive Antenna Selection under Imperfect CSI

Chu Tien Dung, Lê Xuân Hưng, Tran Manh Hoang +2 more

In this paper, we investigate the physical layer security of a multiple-input and multiple-output (MIMO) relay system under imperfect channel state information (CSI). We propose using multiple antennas at the source and destination to increase the signal-to-noise (SNR) gain of the primary channel, thus improving the system's security performance. Exact closed-form expression of the secure outage probability (SOP) and secrecy capacity (SC) are derived and verified by Monte-Carlo simulations. A close match between the theoretical and simulation results confirms the accurateness of our mathematical analysis. We show that the SOP decreases while the SC increases as the average SNR is higher. Furthermore, the saturated minimum and maximum values highly depend on the number of antennas at source and destination, the degree of imperfect CSI, and the location of eavesdropper.

International Conference on Advanced Technologies for CommunicationsOct 8, 20206 citations

Physical Layer Security Performance Analysis of MIMOME Systems Over Keyhole Channels

Xujie Zang, Hongwen Yang

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.

IEEE Open Journal of the Communications SocietyJan 1, 20260 citations

Security Enhancement via Antenna Selection in MIMOME Channels With Discrete Inputs

Chongjun Ouyang, Sheng Yi Wu, Chunxiao Jiang +3 more

Transmit antenna selection (TAS) is an emerging technology in physical layer security. To provide new insights into the achievable secrecy performance of TAS in practical communication systems, this paper investigates the average secrecy rate (ASR) and secrecy outage probability (SOP) under practical modulation schemes in TAS aided multiple-input multiple-output multiple-antenna eavesdropper (MIMOME) wiretap channels over Rayleigh fading. Particularly, this research concentrates more on the square M-ary quadrature amplitude modulation (M-QAM). Furthermore, in the considered MIMOME channel, a single antenna is selected to transmit the secret message, and selection combining (SC) or maximal-ratio combining (MRC) is utilized at the legitimate receiver and the eavesdropper. Based on this system model, novel expressions for the ASR and SOP are formulated to characterize the secrecy performance of the finite-alphabet driven MIMOME channel. Besides exact analysis, an asymptotic analysis is performed using the considered performance metrics in high signal-to-noise ratio (SNR) regime. Theoretical analyses suggest that the asymptotic ASR and SOP converge to finite constants in high SNR regime due to the discrete constellation constraint, and we find that the asymptotic behaviour of discrete inputs differs from that of Gaussian inputs. Furthermore, we derive concise expressions to characterize the rate of convergence (ROC) of the ASR and SOP, respectively. To unveil more system design insights, we discuss the relationship between the ROC and several important system parameters such as the antenna number and the modulation order.

IEEE Transactions on CommunicationsMay 25, 202014 citations

Secrecy Capacity Analysis of 4-WFRFT Based Physical Layer Security in MIMO System

Tao Xu, Xuanli Wu, Ziyi Xie +2 more

In this paper, the integration of antenna selection(AS) and 4-weighted-type fractional Fourier transform (4-WFRFT) technologies into the multiple-input multiple-output (MIMO) system based channel correlation has been proposed to enhance the security performance of wireless communications, where the energy of transmitting signals is split into four portions by employing the 4-WFRFT technology. This is equivalent to introducing additional artificial noise at the eavesdropper. To characterize system performance, the channel correlation is first considered, then we propose a valid method to model the distribution of composite instantaneous signal-to-noise ratio (SNR) of eavesdropper as the tractable exponential distribution. Furthermore, we drive the close-form expressions for both the joint probability density function (PDF) of channel and the average SNR at the eavesdropper. Based on above results, we deduce the close-form expressions of average security capacity with AS and 4-WFRFT technologies. To obtain further insights, we also derive the theoretical expressions of secrecy outage probability. The analysis results show that AS and 4-WFRFT technologies exist to simultaneously increase the average security capacity and then decrease the secrecy outage probability. The numerical results illustrate that: 1) 4-WFRF technology can validly eliminate the impact of channel correlation due to introducing the artificial noise; 2) the secrecy performance of system can be improved remarkably by employing AS and 4-WFRFT technologies.

IEEE Transactions on Vehicular TechnologyAug 27, 20242 citations

Multiple Eavesdropper-Based Physical Layer Security in SIMO System With Antenna Correlation

Gangcan Sun, Mengge Liu, Zhuo Han +1 more

In this paper, we investigate the impact of antenna correlation on secure transmission in a multi-eavesdropper single-input multiple-output (SIMO) system, where the receiver and eavesdroppers are equipped with correlated antennas.Based on the practical passive eavesdropping system, the new closed-form expressions of secrecy outage probability (SOP) and non-zero secrecy capacity probability are derived to explore the effect of antenna correlation on the system with multiple eavesdroppers.To further analyze the secrecy performance of the investigated system, we theoretically derive the expression of asymptotic SOP to clearly show the diversity order and array gain.Finally, Monte Carlo simulations verify the effectiveness of our theoretical results.

KSII Transactions on Internet and Information SystemsJan 31, 20202 citations

Physical Layer Security of MIMO Wiretap Systems with Antenna Selection in Rayleigh Fading with Imperfect Feedback

Mohamed Lassaad Ammari, Paul Fortier

The impact of feedback errors on the security performances of multiple-input multiple-output (MIMO) wiretap channels is analyzed. For the legitimate MIMO system, two schemes are considered: 1) transmit antenna selection/maximal ratio combining (TAS/MRC) and 2) transmit antenna selection/receive antenna selection (TAS/RAS). The eavesdropper uses either MRC or RAS techniques. We derive closed-form expressions for the exact secrecy outage probability (SOP) and the probability of strictly positive secrecy capacity (PSPSC). In order to obtain the secrecy diversity order and the secrecy array gain, on asymptotic SOP expression is also derived.

IEEE Vehicular Technology ConferenceSep 1, 20152 citations