Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE International Conference on Automation, Electronics and Electrical Engineering (AUTEEE)

4-WFRFT for Physical Layer Security Enhancement Based on MIMO Correlated Channel

Jiuning Zhang, Xuanli Wu, Yong Li

Published Nov 19, 2021• 3 citations
Publisher

Abstract

In this paper, 4-weighted-type fractional Fourier transform (4-WFRFT) technology is introduced into Multiple-input multiple-output (MIMO) correlated Rayleigh fading channel to enhance physical layer security (PLS) significantly. The MIMO correlated Rayleigh fading channel is built first, and then 4-WFRFT is introduced into correlated channel model while transmitter and receiver share transform order but eavesdropper cannot acquire the exact transform order, so there is estimate error at eavesdropper. In MIMO correlated channel while using 4-WFRFT, the signal-to-noise ratio (SNR) of receiver and eavesdropper are derived, then the average secrecy capacity (ASC) is derived, at last the simulation results are analyzed. It can be concluded that when the estimate error is not zero, 4-WFRFT technology can reduce the SNR of eavesdropper while the SNR of receiver is unaffected, so 4-WFRFT can increase ASC significantly. When estimate error is within [0, 1], the greater the estimate error is, the greater ASC is, but not the case within [1], [2]. But when the estimate error is zero, it means eavesdropper acquire the transform order shared by transmitter and receiver, 4-WFRFT cannot achieve the purpose of enhancing PLS.

DOI
10.1109/auteee52864.2021.9668711

Related papers

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 Technology•Aug 27, 2024•2 citations

Analysis of Physical Layer Security Based on WFRFT with Multiple Eavesdroppers

Tao Xu, Xuanli Wu, Ziyi Xie

In this paper, a 4-weighted-type fractional Fourier transform (4-WFRFT) technology is presented to enhance the physical layer security (PLS) performance in a system of multiple eavesdroppers. The average signal-to-noise ratio (SNR) of eavesdroppers is first derived. Based on the derived average SNR, closed-form expressions of average security capacity (ASC) and secrecy outage probability (SOP) are obtained by employing the 4-WFRFT technology. The numerical results demonstrate that: 1) when the number of eavesdroppers increases, the 4 -WFRFT technology can also obtain a higher secrecy capacity. 2) the ASC decreases first but finally keeps at a constant value as the number of eavesdroppers increases. Simulations verify our analysis and demonstrate the 4 -WFRFT technology can validly improve the PLS performance in the multiple eavesdroppers system.

International Wireless Communications and Mobile Computing Conference (IWCMC)•May 27, 2024•0 citations

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

Xu, T., Xianyi Wu, Jianzhong Charlie Zhang

The traditional information security based on cryptosystem is seriously threatened due to the exponential growth of computing capacity. In order to improve for the upper cryptosystem security, the secure transmission at the physical layer is introduced into the wireless communication system. However, considering the openness of wireless channel, the performance analysis of security wireless communication systems has become a hot issue in recent years. Due to the existence of the upper layer cryptosystem being cracked and the openness of wireless channel security problems, the Multiple-Input Multiple-Output (MIMO) technology increases the difference between channels, the development of its rich spatial degrees of freedom can greatly improve the channel capacity and achieve the purpose of enhancing the Physical layer security (PLS); On this basis, Weighted Type Fractional Fourier Transform (WFrFT) technology rotates and splits the constellation points of signals, it is equivalent to increasing the artificial noise to enhance the PLS. The Average security capacity is an important index to measure the PLS, Therefore, this paper deduces the Average security capacity in MIMO scenario and gives a specific closed expression when considering the channel correlation. By analyzing the expression, the increase of the number of MIMO antennas will improve the Average security capacity. When the estimated bias is 1 in 4-WFRFT, the Average security capacity will be significantly improved; the Average security capacity will reach the maximum value, thus enhancing the PLS.

arXiv:2305.17897•May 29, 2023•0 citations

Safeguarding Physical Layer Security Using Weighted Fractional Fourier Transform

Xiaojie Fang, Xuanli Wu, Ning Zhang +2 more

In this paper, weighted fractional Fourier transform (WFRFT) is employed to safeguard the physical layer (PHY) security of wireless communications. By leveraging the features of WFRFT, we propose a PHY security modulation scheme, which significantly degrades the equivalent signal-to-noise ratio (SNR) of the unauthorized receiver while imposing no impact on the legitimate receiver. With the proposed scheme, a robust nonzero secrecy capacity can be guaranteed. Moreover, the proposed scheme can conceal the actual modulation paradigms to prevent malicious signal detection, due to the variation in signal characteristics. A higher order statistics (HOS) based classifier is used to investigate the anti- recognition performance. Meanwhile, the secrecy performance of the proposed scheme is evaluated in terms of both secrecy capacity and average bit error rate (BER) by numerical simulations. Finally, as a proof-of-concept, an all-digital field programmable gate array (FPGA) based prototype system is developed to validate the practicability of the proposed scheme.

Globecom•Dec 1, 2016•16 citations

Copula-Based Analysis of Physical Layer Security Performances Over Correlated Rayleigh Fading Channels

Farshad Rostami Ghadi, Ghosheh Abed Hodtani

This paper studies performance analysis of physical layer security in a Rayleigh fading wiretap channel, where, the main (transmitter-to-legitimate receiver) and eavesdropper (transmitter-to-eavesdropper) channel coefficients are correlated. By exploiting the novel approach called Copula theory, we derive closed-form expressions for average secrecy capacity (ASC), secrecy outage probability (SOP), and secrecy coverage region (SCR). Moreover, to more evaluate the impact of channel correlation, the asymptotic behavior of SOP in high signal-to-noise ratio (SNR) regime and other scenarios is studied, and finally, the analytical results are illustrated numerically under the positive dependence, independence, and negative dependence structures. Based on the insights from this analysis, we found that the effect of correlated fading on the performance of physical layer security can be helpful or harmful in different scenarios, depending on the structure of dependency between the main and eavesdropper channels.

IEEE Transactions on Information Forensics and Security•Aug 5, 2020•48 citations

On the physical layer security of correlated Weibull fading channels with transmitter side information in the presence of a passive eavesdropper

Ali Mohammad Khodadoust, Mario E. Rivero-Ángeles, Victor Barrera-Figueroa

In this paper, we analyze the performance of physical layer security (PLS) in Weibull fading wiretap channels (WTC), leveraging realistic channel propagation models in which the channel coefficients of the main (transmitter-to-legitimate receiver) and eavesdropper (transmitter-to-eavesdropper) channels are correlated. Additionally, by incorporating non-causally known side information (SI) at the transmitter, we enhance PLS in this context. We utilize the Farlie–Gumbel–Morgenstern (FGM) copula to model the correlation between the main and eavesdropper channels, enabling us to derive analytical expressions for the average secrecy capacity (ASC), secrecy outage probability (SOP), the lower bound of SOP (LSOP), and the strictly positive secrecy capacity (SPSC) across various dependence scenarios (i.e., negative, positive, and independent). The numerically evaluated results, validated through corresponding computer simulations, provide valuable insights into the impact of channel correlation and SI at the transmitter on the system’s PLS performance.

Alexandria Engineering Journal•May 21, 2025•6 citations
In this paper, 4-weighted-type fractional Fourier transform (4-WFRFT) technology is introduced into Multiple-input multiple-output (MIMO) correlated Rayleigh fading channel to enhance physical layer security (PLS) significantly. The MIMO correlated Rayleigh fading channel is built first, and then 4-WFRFT is introduced into correlated channel model while transmitter and receiver share transform order but eavesdropper cannot acquire the exact transform order, so there is estimate error at eavesdropper. In MIMO correlated channel while using 4-WFRFT, the signal-to-noise ratio (SNR) of receiver and eavesdropper are derived, then the average secrecy capacity (ASC) is derived, at last the simulation results are analyzed. It can be concluded that when the estimate error is not zero, 4-WFRFT technology can reduce the SNR of eavesdropper while the SNR of receiver is unaffected, so 4-WFRFT can increase ASC significantly. When estimate error is within [0, 1], the greater the estimate error is, the greater ASC is, but not the case within [1], [2]. But when the estimate error is zero, it means eavesdropper acquire the transform order shared by transmitter and receiver, 4-WFRFT cannot achieve the purpose of enhancing PLS.
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.
In this paper, a 4-weighted-type fractional Fourier transform (4-WFRFT) technology is presented to enhance the physical layer security (PLS) performance in a system of multiple eavesdroppers. The average signal-to-noise ratio (SNR) of eavesdroppers is first derived. Based on the derived average SNR, closed-form expressions of average security capacity (ASC) and secrecy outage probability (SOP) are obtained by employing the 4-WFRFT technology. The numerical results demonstrate that: 1) when the number of eavesdroppers increases, the 4 -WFRFT technology can also obtain a higher secrecy capacity. 2) the ASC decreases first but finally keeps at a constant value as the number of eavesdroppers increases. Simulations verify our analysis and demonstrate the 4 -WFRFT technology can validly improve the PLS performance in the multiple eavesdroppers system.
The traditional information security based on cryptosystem is seriously threatened due to the exponential growth of computing capacity. In order to improve for the upper cryptosystem security, the secure transmission at the physical layer is introduced into the wireless communication system. However, considering the openness of wireless channel, the performance analysis of security wireless communication systems has become a hot issue in recent years. Due to the existence of the upper layer cryptosystem being cracked and the openness of wireless channel security problems, the Multiple-Input Multiple-Output (MIMO) technology increases the difference between channels, the development of its rich spatial degrees of freedom can greatly improve the channel capacity and achieve the purpose of enhancing the Physical layer security (PLS); On this basis, Weighted Type Fractional Fourier Transform (WFrFT) technology rotates and splits the constellation points of signals, it is equivalent to increasing the artificial noise to enhance the PLS. The Average security capacity is an important index to measure the PLS, Therefore, this paper deduces the Average security capacity in MIMO scenario and gives a specific closed expression when considering the channel correlation. By analyzing the expression, the increase of the number of MIMO antennas will improve the Average security capacity. When the estimated bias is 1 in 4-WFRFT, the Average security capacity will be significantly improved; the Average security capacity will reach the maximum value, thus enhancing the PLS.
In this paper, weighted fractional Fourier transform (WFRFT) is employed to safeguard the physical layer (PHY) security of wireless communications. By leveraging the features of WFRFT, we propose a PHY security modulation scheme, which significantly degrades the equivalent signal-to-noise ratio (SNR) of the unauthorized receiver while imposing no impact on the legitimate receiver. With the proposed scheme, a robust nonzero secrecy capacity can be guaranteed. Moreover, the proposed scheme can conceal the actual modulation paradigms to prevent malicious signal detection, due to the variation in signal characteristics. A higher order statistics (HOS) based classifier is used to investigate the anti- recognition performance. Meanwhile, the secrecy performance of the proposed scheme is evaluated in terms of both secrecy capacity and average bit error rate (BER) by numerical simulations. Finally, as a proof-of-concept, an all-digital field programmable gate array (FPGA) based prototype system is developed to validate the practicability of the proposed scheme.
This paper studies performance analysis of physical layer security in a Rayleigh fading wiretap channel, where, the main (transmitter-to-legitimate receiver) and eavesdropper (transmitter-to-eavesdropper) channel coefficients are correlated. By exploiting the novel approach called Copula theory, we derive closed-form expressions for average secrecy capacity (ASC), secrecy outage probability (SOP), and secrecy coverage region (SCR). Moreover, to more evaluate the impact of channel correlation, the asymptotic behavior of SOP in high signal-to-noise ratio (SNR) regime and other scenarios is studied, and finally, the analytical results are illustrated numerically under the positive dependence, independence, and negative dependence structures. Based on the insights from this analysis, we found that the effect of correlated fading on the performance of physical layer security can be helpful or harmful in different scenarios, depending on the structure of dependency between the main and eavesdropper channels.
In this paper, we analyze the performance of physical layer security (PLS) in Weibull fading wiretap channels (WTC), leveraging realistic channel propagation models in which the channel coefficients of the main (transmitter-to-legitimate receiver) and eavesdropper (transmitter-to-eavesdropper) channels are correlated. Additionally, by incorporating non-causally known side information (SI) at the transmitter, we enhance PLS in this context. We utilize the Farlie–Gumbel–Morgenstern (FGM) copula to model the correlation between the main and eavesdropper channels, enabling us to derive analytical expressions for the average secrecy capacity (ASC), secrecy outage probability (SOP), the lower bound of SOP (LSOP), and the strictly positive secrecy capacity (SPSC) across various dependence scenarios (i.e., negative, positive, and independent). The numerically evaluated results, validated through corresponding computer simulations, provide valuable insights into the impact of channel correlation and SI at the transmitter on the system’s PLS performance.