Secrecy Capacity Analysis over α-μ Fading Channels

IEEE Communications Letters

Volumn 21, Issue 6, 2017, Pages 1445-1448

  Lei, Hongjiang ^a,b   Ansari, Imran Shafique ^c   Pan, Gaofeng ^d   Alomair, Basel ^e   Alouini, Mohamed Slim ^b  

^a CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Saudi Arabia)

^c TEXAS A AND M UNIVERSITY AT QATAR   (Qatar)

^d SOUTHWEST UNIVERSITY   (China)

^e KING ABDULAZIZ CITY FOR SCIENCE AND TECHNOLOGY   (Saudi Arabia)

Author keywords

average secrecy capacity; extended generalized bivariate Fox's H function; Physical layer security; fading channel

Indexed keywords

ASYMPTOTIC ANALYSIS; COMMUNICATION CHANNELS (INFORMATION THEORY); FADING CHANNELS; INTELLIGENT SYSTEMS; MONTE CARLO METHODS; NETWORK LAYERS;

ANALYTICAL RESULTS; ASYMPTOTIC RESULTS; AVERAGE SECRECY CAPACITY; CAPACITY ANALYSIS; H FUNCTION; HIGH SIGNALTO-NOISE RATIOS (SNR); NUMERICAL RESULTS; PHYSICAL LAYER SECURITY;

SIGNAL TO NOISE RATIO;

EID: 85020112719     PISSN: 10897798     EISSN: None     Source Type: Journal    
DOI: 10.1109/LCOMM.2017.2669976     Document Type: Article

References (23)

1. Y. Huang, F. S. Al-Qahtani, T. Q. Duong, and J. Wang, "Secure transmission in MIMO wiretap channels using general-order transmit antenna selection with outdated CSI, " IEEE Trans. Commun., vol. 63, no. 8, pp. 2959-2971, Aug. 2015.
2. J. Zhu, Y. Zou, G. Wang, Y.-D. Yao, and G. K. Karagiannidis, "On secrecy performance of antenna-selection-aided MIMO systems against eavesdropping, " IEEE Trans. Veh. Technol., vol. 65, no. 1, pp. 214-225, Jan. 2016.
3. M. Bloch, J. Barros, M. R. D. Rodrigues, and S. W. McLaughlin, "Wireless information-theoretic security, " IEEE Trans. Inf. Theory, vol. 54, no. 6, pp. 2515-2534, Jun. 2008.
4. N. Yang, P. L. Yeoh, M. Elkashlan, R. Schober, and I. B. Collings, "Transmit antenna selection for security enhancement in MIMO wiretap channels, " IEEE Trans. Commun., vol. 61, no. 1, pp. 144-154, Jan. 2013.
5. L. Wang, M. Elkashlan, J. Huang, R. Schober, and R. Mallik, "Secure transmission with antenna selection in MIMO Nakagami-m fading channels, " IEEE Trans. Wireless Commun., vol. 13, no. 11, pp. 6054-6067, Nov. 2014.
6. O. Olabiyi and A. Annamalai, "Ergodic secrecy rates of secure wireless communications, " in Proc. MILCOM, Baltimore, MD, USA, Oct. 2014, pp. 18-23.
7. X. Liu, "Probability of strictly positive secrecy capacity of the weibull fading channel, " in Proc. GLOBECOM, Atlanta, GA, USA, Dec. 2013, pp. 659-664.
8. X. Liu, "Average secrecy capacity of the Weibull fading channel, " in Proc. CCNC, Las Vegas, NV, USA, Jan. 2016, pp. 841-844.
9. G. Pan, C. Tang, X. Zhang, T. Li, Y. Weng, and Y. Chen, "Physical layer security over non-small scale fading channels, " IEEE Trans. Veh. Technol., vol. 65, no. 3, pp. 1326-1339, Mar. 2016.
10. H. Lei et al., "Performance analysis of physical layer security over generalized-K fading channels using a mixture Gamma distribution, " IEEE Commun. Lett., vol. 20, no. 2, pp. 408-411, Feb. 2016.
11. H. Lei, C. Gao, I. S. Ansari, Y. Guo, G. Pan, and K. Qaraqe, "On physical layer security over SIMO generalized-K fading channels, " IEEE Trans. Veh. Technol., vol. 65, no. 9, pp. 7780-7785, Sep. 2016.
12. H. Lei, C. Gao, Y. Guo, and G. Pan, "On physical layer security over generalized gamma fading channels, " IEEE Commun. Lett., vol. 19, no. 7, pp. 1257-1260, Jul. 2015.
13. M. D. Yacoub, "The α-μ distribution: A physical fading model for the Stacy distribution, " IEEE Trans. Veh. Technol., vol. 56, no. 1, pp. 27-34, Jan. 2007.
14. K. P. Peppas, "A simple, accurate approximation to the sum of gamma-gamma variates and applications in MIMO free-space optical systems, " IEEE Photon. Technol. Lett., vol. 23, no. 13, pp. 839-841, Jul. 1, 2011.
15. B. Wang, G. Cui, W. Yi, L. Kong, and X. Yang, "Approximation to independent lognormal sum with α-μ distribution and the application, " Signal Process., vol. 111, pp. 165-169, Jun. 2015.
16. I. Gradshteyn and I. Ryzhik, Table of Integrals, Series and Products, 7th ed. San Diego, CA, USA: Academic, 2007.
17. V. S. Adamchik and O. I. Marichev, "The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system, " in Proc. ISSAC, Tokyo, Japan, 1990, pp. 212-224.
18. M. D. Springer, The Algebra of Random Variables. New York, NY, USA: Wiley, 1979.
19. P. K. Mittal and K. C. Gupta, "An integral involving generalized function of two variables, " Proc. Indian Acad. Sci.-Sec. A, vol. 75, no. 3, pp. 117-123, Mar. 1972.
20. A. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function Theory and Applications. New York, NY, USA: Springer, 2010.
21. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, 9th ed. New York, NY, USA: Dover, 1972.
22. K. P. Peppas, "A new formula for the average bit error probability of dual-hop amplify-and-forward relaying systems over generalized shadowed fading channels, " IEEE Wireless Commun. Lett., vol. 1, no. 2, pp. 85-88, Apr. 2012.
23. I. S. Ansari, S. Al-Ahmadi, F. Yilmaz, M. S. Alouini, and H. Yanikomeroglu, "A new formula for the BER of binary modulations with dual-branch selection over generalized-K composite fading chan-nels, " IEEE Trans. Commun., vol. 59, no. 10, pp. 2654-2658, Oct. 2011.