Secrecy Capacity Analysis over α−μ Fading Channels

Hongjiang Lei; Imran Shafique Ansari; Gaofeng pan; Basel Alomair; Mohamed-Slim Alouini

doi:10.1109/LCOMM.2017.2669976

Secrecy Capacity Analysis over α−μ Fading Channels

Hongjiang Lei, Imran Shafique Ansari, Gaofeng pan, Basel Alomair, Mohamed-Slim Alouini

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156 Scopus citations

Abstract

In this work, we study the secrecy capacity of the classic Wyner’s model over the α − μ fading channels, where α and μ specify the nonlinearity and clustering of fading channels, respectively. The average secrecy capacity (ASC) is derived in closed-form by using the extended generalized bivariate Fox’s Hfunction (EGBFHF). Moreover, the asymptotic analysis of ASC in high signal-to-noise ratio (SNR) regime is conducted. The asymptotic results unveil that the ASC follows the scaling law of Θ(ln p), where p stands for the ratio between the average powers of main channels and eavesdropping channels. Moreover, the ASC can be enhanced by increasing the transmit SNR, while there exists a ceiling of ASC as the SNRs at both sides are improved simultaneously. The accuracy of the analytical results is validated by Monte-Carlo simulations. The numerical results show that rigorous fading channels are beneficial to the secrecy performance, that is, serious nonlinearity (small α) and sparse clustering (small μ) will lead to the improvement of ASC.

Original language	English (US)
Pages (from-to)	1445-1448
Number of pages	4
Journal	IEEE Communications Letters
Volume	21
Issue number	6
DOIs	https://doi.org/10.1109/LCOMM.2017.2669976
State	Published - Feb 15 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grant 61471076, 61401372, the Project of Fundamental and Frontier Research Plan of Chongqing under Grant cstc2015jcyjBX0085, and the Scientific and Technological Research Program of Chongqing Municipal Education Commission under Grant KJ1600413.

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10.1109/LCOMM.2017.2669976

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title = "Secrecy Capacity Analysis over α−μ Fading Channels",

abstract = "In this work, we study the secrecy capacity of the classic Wyner{\textquoteright}s model over the α − μ fading channels, where α and μ specify the nonlinearity and clustering of fading channels, respectively. The average secrecy capacity (ASC) is derived in closed-form by using the extended generalized bivariate Fox{\textquoteright}s Hfunction (EGBFHF). Moreover, the asymptotic analysis of ASC in high signal-to-noise ratio (SNR) regime is conducted. The asymptotic results unveil that the ASC follows the scaling law of Θ(ln p), where p stands for the ratio between the average powers of main channels and eavesdropping channels. Moreover, the ASC can be enhanced by increasing the transmit SNR, while there exists a ceiling of ASC as the SNRs at both sides are improved simultaneously. The accuracy of the analytical results is validated by Monte-Carlo simulations. The numerical results show that rigorous fading channels are beneficial to the secrecy performance, that is, serious nonlinearity (small α) and sparse clustering (small μ) will lead to the improvement of ASC.",

author = "Hongjiang Lei and Ansari, {Imran Shafique} and Gaofeng pan and Basel Alomair and Mohamed-Slim Alouini",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grant 61471076, 61401372, the Project of Fundamental and Frontier Research Plan of Chongqing under Grant cstc2015jcyjBX0085, and the Scientific and Technological Research Program of Chongqing Municipal Education Commission under Grant KJ1600413.",

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AU - Lei, Hongjiang

AU - Ansari, Imran Shafique

AU - pan, Gaofeng

AU - Alomair, Basel

AU - Alouini, Mohamed-Slim

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grant 61471076, 61401372, the Project of Fundamental and Frontier Research Plan of Chongqing under Grant cstc2015jcyjBX0085, and the Scientific and Technological Research Program of Chongqing Municipal Education Commission under Grant KJ1600413.

PY - 2017/2/15

Y1 - 2017/2/15

N2 - In this work, we study the secrecy capacity of the classic Wyner’s model over the α − μ fading channels, where α and μ specify the nonlinearity and clustering of fading channels, respectively. The average secrecy capacity (ASC) is derived in closed-form by using the extended generalized bivariate Fox’s Hfunction (EGBFHF). Moreover, the asymptotic analysis of ASC in high signal-to-noise ratio (SNR) regime is conducted. The asymptotic results unveil that the ASC follows the scaling law of Θ(ln p), where p stands for the ratio between the average powers of main channels and eavesdropping channels. Moreover, the ASC can be enhanced by increasing the transmit SNR, while there exists a ceiling of ASC as the SNRs at both sides are improved simultaneously. The accuracy of the analytical results is validated by Monte-Carlo simulations. The numerical results show that rigorous fading channels are beneficial to the secrecy performance, that is, serious nonlinearity (small α) and sparse clustering (small μ) will lead to the improvement of ASC.

AB - In this work, we study the secrecy capacity of the classic Wyner’s model over the α − μ fading channels, where α and μ specify the nonlinearity and clustering of fading channels, respectively. The average secrecy capacity (ASC) is derived in closed-form by using the extended generalized bivariate Fox’s Hfunction (EGBFHF). Moreover, the asymptotic analysis of ASC in high signal-to-noise ratio (SNR) regime is conducted. The asymptotic results unveil that the ASC follows the scaling law of Θ(ln p), where p stands for the ratio between the average powers of main channels and eavesdropping channels. Moreover, the ASC can be enhanced by increasing the transmit SNR, while there exists a ceiling of ASC as the SNRs at both sides are improved simultaneously. The accuracy of the analytical results is validated by Monte-Carlo simulations. The numerical results show that rigorous fading channels are beneficial to the secrecy performance, that is, serious nonlinearity (small α) and sparse clustering (small μ) will lead to the improvement of ASC.

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Secrecy Capacity Analysis over α−μ Fading Channels

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