Physical Layer Security for Multiple-Antenna Systems: A Unified Approach

Peppas, Kostas P.; Sagias, N.C.; Maras, A.M.

doi:10.1109/tcomm.2015.2495293

Cited by 37 publications

(26 citation statements)

References 30 publications

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“…Assuming an active eavesdropping scenario, the average SCA of the proposed wiretap system can be numerically evaluated as follows:

\begin{matrix} right {\bar{C}}_{S} = & left \frac{2}{π \ln (2)} \sum_{j = 1}^{Q_{J}} \sum_{k = 1}^{Q_{K}} v_{j} x_{j} w_{k} \times ℜ \{\frac{{scriptM}_{{normalγ}_{scriptE}} (c_{j} + ι y_{k})}{c_{j} + ι y_{k}} \frac{1 - {scriptM}_{{normalγ}_{scriptB}} (x_{j}^{2} - c_{j} - ι y_{k})}{x_{j}^{2} - c_{j} - ι y_{k}}\}, \end{matrix}

where Q J and Q K are the numbers of integration points and x j and v j are abscissas and weights. These can be computed by using the methodology presented in the work of Steen et al, where y k and w k are abscissas and weights defined respectively as follows:

y_{k} = \tan ([], \frac{π}{4} \cos ((), \frac{2 k - 1}{2 Q_{K}} normalπ) + \frac{π}{4})

w_{k} = \frac{π^{2} \sin ((), \frac{2 k - 1}{2 Q_{K}} normalπ)}{4 Q_{K} \cos^{2} ([])}

…”

Section: Applications To Physical‐layer Securitymentioning

confidence: 99%

“…Given the MGFs of

γ_{B}

and

γ_{E}

, the SOP can be evaluated as follows:

\begin{matrix} right P_{out} = & left \frac{1}{2} - \frac{1}{normalπ} \int_{0}^{\infty} Im \{\frac{1}{normalω} {scriptM}_{{normalγ}_{scriptE}}^{*} (- ι 2^{{scriptR}_{S}} ω) \times {scriptM}_{{normalγ}_{scriptB}} (- ι ω) \exp [- ι (2^{{scriptR}_{S}} - 1) ω]\} d ω . \end{matrix}

…”

Section: Applications To Physical‐layer Securitymentioning

confidence: 99%

“…Due to the emerging wireless standards with multiple‐antenna nodes, the topic of physical‐layer security of multiantenna systems has been recently studied using metrics such as the secrecy capacity (SCA) and the secrecy outage probability (SOP) (see, for example, previous works()). Furthermore, to enhance secrecy performance of multiantenna systems, several well‐known schemes can be utilized (see, for example, previous works()). Noting that the specific contribution of these previous works will be highlighted in the next subsection, we focus on the diversity scheme, which is considered in our paper, namely, generalized selection combining (GSC).…”

Section: Introductionmentioning

confidence: 99%

“…In the past, the secrecy performance of multiantenna systems has been addressed in several research works (see, for example, previous works() and the references therein). In the works of Khisti and Wornell,() the so‐called multiple‐input–single‐output multiple‐eavesdropper and multiple‐input–multiple‐output multiple‐eavesdropper wiretap channels, respectively, were introduced and their SCA was studied.…”

Section: Introductionmentioning

confidence: 99%

“…In the work of Yang et al, the effect of channel correlation on the secrecy performance of multiantenna systems with TAS/MRC was further investigated. The secrecy performance of wiretap channels with receive GSC was addressed in the works of Chen et al and Yang et al In the works of Gomez et al and Peppas et al, unified frameworks for the secrecy performance of multiantenna systems over generalized fading channels were proposed.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On the sum of ordered random variables and its applications to physical‐layer security of communication over η‐μ fading channels with generalized selection combining

Peppas

Alexandropoulos

Mathiopoulos

et al. 2017

Trans Emerging Tel Tech

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Order statistics have attracted the interest of the research community since they find numerous applications in several areas of communications and signal processing fields. This paper introduces an approximate yet accurate approach to determine the statistics of the sum of ordered independent but not necessarily identically distributed η‐μ random variables, which is an accurate model in a generic non–line‐of‐sight propagation environment. The proposed method is used to assess the secrecy performance of wiretap η‐μ fading channels employing generalized selection combining (GSC) diversity. We consider the case of GSC(L,2L), where L branches with the largest instantaneous signal‐to‐noise‐ratio (SNR) values, from a total of 2L available branches, are selected. By introducing a novel modified cascade combining receiver structure whose output SNR statistics closely approximate that of GSC(L,2L), a simple and accurate closed‐form approximation for the moment generating function of the GSC(L,2L) output SNR is derived. This expression is further employed to evaluate the secrecy outage probability and the secrecy capacity of a wiretap channel consisting of a single‐antenna transmitter, a multiantenna receiver, and a multiantenna eavesdropper. Using the proposed analytical approach, various numerical performance evaluation results accompanied with complementary Monte Carlo simulations are further presented. These results have shown that the proposed approach is accurate over the entire range of SNR values, thus enabling a low‐complexity computation of important performance metrics.

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“…Assuming an active eavesdropping scenario, the average SCA of the proposed wiretap system can be numerically evaluated as follows:

\begin{matrix} right {\bar{C}}_{S} = & left \frac{2}{π \ln (2)} \sum_{j = 1}^{Q_{J}} \sum_{k = 1}^{Q_{K}} v_{j} x_{j} w_{k} \times ℜ \{\frac{{scriptM}_{{normalγ}_{scriptE}} (c_{j} + ι y_{k})}{c_{j} + ι y_{k}} \frac{1 - {scriptM}_{{normalγ}_{scriptB}} (x_{j}^{2} - c_{j} - ι y_{k})}{x_{j}^{2} - c_{j} - ι y_{k}}\}, \end{matrix}

y_{k} = \tan ([], \frac{π}{4} \cos ((), \frac{2 k - 1}{2 Q_{K}} normalπ) + \frac{π}{4})

w_{k} = \frac{π^{2} \sin ((), \frac{2 k - 1}{2 Q_{K}} normalπ)}{4 Q_{K} \cos^{2} ([])}

…”

Section: Applications To Physical‐layer Securitymentioning

confidence: 99%

“…Given the MGFs of

γ_{B}

and

γ_{E}

, the SOP can be evaluated as follows:

\begin{matrix} right P_{out} = & left \frac{1}{2} - \frac{1}{normalπ} \int_{0}^{\infty} Im \{\frac{1}{normalω} {scriptM}_{{normalγ}_{scriptE}}^{*} (- ι 2^{{scriptR}_{S}} ω) \times {scriptM}_{{normalγ}_{scriptB}} (- ι ω) \exp [- ι (2^{{scriptR}_{S}} - 1) ω]\} d ω . \end{matrix}

…”

Section: Applications To Physical‐layer Securitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On the sum of ordered random variables and its applications to physical‐layer security of communication over η‐μ fading channels with generalized selection combining

Peppas

Alexandropoulos

Mathiopoulos

et al. 2017

Trans Emerging Tel Tech

Self Cite

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Physical layer security for dual‐hop FSO/RF system using generalized ΓΓ/η−μ fading channels

Kumar

Garg

2017

Int J Communication

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We investigate the physical layer security of decode-and-forward-relayed free space optics (FSO)/radio frequency (RF) communication system. In this network, the eavesdropper exists after relay node and overhears RF transmission.Further, FSO being a line-of-sight transmission is assumed to be secure from eavesdroppers. Here, we have the Gamma-Gamma (ΓΓ) distribution for FSO link and generalized − distribution for RF link. The security for information transmission to the legitimate user in the presence of an eavesdropper is measured in terms of secrecy capacity and secrecy outage probability. Deriving the probability density function and cumulative distribution function of end-to-end signal-to-noise ratio, the closed-form expressions for security parameters are achieved. The numerical analysis of the proposed system is done under the influence of atmospheric turbulence effects and various fading conditions. The results have been verified through simulation. KEYWORDSdual hop, FSO/RF system, physical layer security, secrecy capacity, secrecy outage probability Int J Commun Syst. 2018;31:e3468.wileyonlinelibrary.com/journal/dac to confuse eavesdropper. They provide secure transmission but require higher transmitting signal power to generate artificial noise. Moreover, the design of beamformer is a bit difficult due to computational complexity. The situation when main link condition is worse than the eavesdropper link creates hassle in security analysis of RF system. This limitation can be improved by using the multiple-input multiple-output (MIMO), 5 multiple-input and single-output (MISO), 6 and single-input and multiple-output (SIMO) 7 systems. However, due to high cost and size limitations, the designing of the network system with multiple antennas becomes difficult. The free space optics (FSO) has emerged as an effective solution to provide secured transmission with high data rate because it is a line-of-sight (LoS) transmission. 8 However, it has a limited transmission distance of the order of few kilometers only. It is a license-free transmission, but atmospheric turbulence effects (ie, smoke, snow, and fog) are main factors in deteriorating the performance of an FSO system. The PLS analysis of single hop FSO system investigated in 9 in which the secrecy performance was evaluated for data transmission consisting of single source and destination in the presence of an eavesdropper.Because of the complementary properties of FSO and RF communications, mixed FSO/RF systems have gained the attention of various researchers. These systems are more economical and save unnecessary modifications in existing system networks. They also avoid significant interference as both communications operate on different frequency bands. 10 It has been found that RF link can be a wiretapping link in mixed FSO/RF systems. Hence, the secure and legitimate transmission via mixed systems remains impossible before applying PLS. Recently, trade-off analysis on security-reliability is investigated for multiuser SIMO based RF/FSO relay networks...

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Aerial intelligent reflecting surface for improving the secrecy performance of wireless systems with hardware impairments

Van Vinh

2024

Int J Communication

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SummaryIt has been confirmed that the aerial intelligent reflecting surface (AIRS) can dramatically improve the coverage and quality of service of wireless communication systems. This paper proposes to exploit an AIRS to enhance the physical layer security (PLS) of wireless communication systems. In particular, the AIRS flies at convenient positions for enhancing legitimate channel gain and reducing eavesdropping channel gain. Moreover, the worst‐case security is determined where the legitimate user is affected by hardware impairments (HIs) while the eavesdropper hardware is ideal (ID). The analytical expression of secrecy outage probability (SOP) of the considered systems (referred to as the AIRS‐HI systems) is derived over realistic Nakagami‐ channels recommended for application in the fifth and beyond generations (5G & B5G). To clarify the behaviors of the considered systems, the asymptotic expressions of signal‐to‐distortion‐plus‐noise ratio (SDNR) at the legitimate user, signal‐to‐noise ratio (SNR) at the eavesdropper, and SOP are also provided. Monte‐Carlo simulations are employed to confirm the accuracy of the derived theorem. Numerical results confirm that the SOP of the AIRS‐HI systems is dramatically higher than the SOP of the AIRS‐ID systems. In other words, a strong effect of HIs on the SOP of the AIRS‐HI systems is clearly indicated. Consequently, utilizing the high transmit power is not an effective solution to improve the secrecy performance of the AIRS‐HI systems. In contrast, it is essential to employ an appropriate transmit power tailored to the specific system parameters. Furthermore, the considerable advantages of incorporating AIRS are demonstrated through a comparison between the SOPs of AIRS‐HI systems and HI systems lacking AIRS. Additionally, a comprehensive examination of AIRS‐HI system behaviors is conducted by varying various system parameters, including the predefined secrecy rate, HI level, the number of reflecting elements (REs) in AIRS, WiFi network frequency, AIRS altitude, bandwidth, and channel fading order. These observations lead to the identification of numerous recommended solutions for enhancing the SOP performance of the considered AIRS‐HI systems.

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Physical Layer Security for Multiple-Antenna Systems: A Unified Approach

Cited by 37 publications

References 30 publications

On the sum of ordered random variables and its applications to physical‐layer security of communication over η‐μ fading channels with generalized selection combining

On the sum of ordered random variables and its applications to physical‐layer security of communication over η‐μ fading channels with generalized selection combining

Physical layer security for dual‐hop FSO/RF system using generalized ΓΓ/η−μ fading channels

Aerial intelligent reflecting surface for improving the secrecy performance of wireless systems with hardware impairments

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