Physical-Layer Security Analysis over M-Distributed Fading Channels
In this paper, the physical layer security over the M-distributed fading channel is investigated. Initially, an exact expression of secrecy outage probability (SOP) is derived, which has an integral term. To get a closed-form expression, a lower bound of SOP is obtained. After that, the exact expres...
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MDPI AG
2019-10-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/10/998 |
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| author | Sheng-Hong Lin Rong-Rong Lu Xian-Tao Fu An-Ling Tong Jin-Yuan Wang |
| author_facet | Sheng-Hong Lin Rong-Rong Lu Xian-Tao Fu An-Ling Tong Jin-Yuan Wang |
| author_sort | Sheng-Hong Lin |
| collection | DOAJ |
| description | In this paper, the physical layer security over the M-distributed fading channel is investigated. Initially, an exact expression of secrecy outage probability (SOP) is derived, which has an integral term. To get a closed-form expression, a lower bound of SOP is obtained. After that, the exact expression for the probability of strictly positive secrecy capacity (SPSC) is derived, which is in closed-form. Finally, an exact expression of ergodic secrecy capacity (ESC) is derived, which has two integral terms. To reduce its computational complexity, a closed-from expression for the lower bound of ESC is obtained. As special cases of M-distributed fading channels, the secure performance of the K, exponential, and Gamma-Gamma fading channels are also derived, respectively. Numerical results show that all theoretical results match well with Monte-Carlo simulation results. Specifically, when the average signal-to-noise ratio of main channel is larger than 40 dB, the relative errors for the lower bound of SOP, the probability of SPSC, and the lower bound of ESC are less than 1.936%, 6.753%, and 1.845%, respectively. This indicates that the derived theoretical expressions can be directly used to evaluate system performance without time-consuming simulations. Moreover, the derived results regarding parameters that influence the secrecy performance will enable system designers to quickly determine the optimal available parameter choices when facing different security risks. |
| first_indexed | 2024-04-11T18:20:38Z |
| format | Article |
| id | doaj.art-1bdc89bd192e4e06a213eef480f4dd6d |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T18:20:38Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-1bdc89bd192e4e06a213eef480f4dd6d2022-12-22T04:09:46ZengMDPI AGEntropy1099-43002019-10-01211099810.3390/e21100998e21100998Physical-Layer Security Analysis over M-Distributed Fading ChannelsSheng-Hong Lin0Rong-Rong Lu1Xian-Tao Fu2An-Ling Tong3Jin-Yuan Wang4Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei 230039, ChinaKey Lab of Broadband Wireless Communication and Sensor Network Technology, Ministry of Education, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaKey Lab of Broadband Wireless Communication and Sensor Network Technology, Ministry of Education, Nanjing University of Posts and Telecommunications, Nanjing 210003, ChinaGeneral Information Department, North Information Control Research Academy Group Co., Ltd., Nanjing 21153, ChinaKey Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei 230039, ChinaIn this paper, the physical layer security over the M-distributed fading channel is investigated. Initially, an exact expression of secrecy outage probability (SOP) is derived, which has an integral term. To get a closed-form expression, a lower bound of SOP is obtained. After that, the exact expression for the probability of strictly positive secrecy capacity (SPSC) is derived, which is in closed-form. Finally, an exact expression of ergodic secrecy capacity (ESC) is derived, which has two integral terms. To reduce its computational complexity, a closed-from expression for the lower bound of ESC is obtained. As special cases of M-distributed fading channels, the secure performance of the K, exponential, and Gamma-Gamma fading channels are also derived, respectively. Numerical results show that all theoretical results match well with Monte-Carlo simulation results. Specifically, when the average signal-to-noise ratio of main channel is larger than 40 dB, the relative errors for the lower bound of SOP, the probability of SPSC, and the lower bound of ESC are less than 1.936%, 6.753%, and 1.845%, respectively. This indicates that the derived theoretical expressions can be directly used to evaluate system performance without time-consuming simulations. Moreover, the derived results regarding parameters that influence the secrecy performance will enable system designers to quickly determine the optimal available parameter choices when facing different security risks.https://www.mdpi.com/1099-4300/21/10/998physical layer securitym-distributed fading channelssopspscesc |
| spellingShingle | Sheng-Hong Lin Rong-Rong Lu Xian-Tao Fu An-Ling Tong Jin-Yuan Wang Physical-Layer Security Analysis over M-Distributed Fading Channels Entropy physical layer security m-distributed fading channels sop spsc esc |
| title | Physical-Layer Security Analysis over M-Distributed Fading Channels |
| title_full | Physical-Layer Security Analysis over M-Distributed Fading Channels |
| title_fullStr | Physical-Layer Security Analysis over M-Distributed Fading Channels |
| title_full_unstemmed | Physical-Layer Security Analysis over M-Distributed Fading Channels |
| title_short | Physical-Layer Security Analysis over M-Distributed Fading Channels |
| title_sort | physical layer security analysis over m distributed fading channels |
| topic | physical layer security m-distributed fading channels sop spsc esc |
| url | https://www.mdpi.com/1099-4300/21/10/998 |
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