Secrecy performance analysis of single-input multiple-output generalized-K fading channels#

Hong-jiang LEI; Imran Shafique ANSARI; Chao GAO; Yong-cai GUO; Gao-feng PAN; Khalid A. QARAQE

doi:10.1631/FITEE.1601070

Your Location：

Home >

Browse articles >

Secrecy performance analysis of single-input multiple-output generalized-K fading channels#

Regular Papers | Updated：2022-05-19

- Secrecy performance analysis of single-input multiple-output generalized-K fading channels#
- 基于generalized-K信道的SIMO的物理层安全性能分析
- Frontiers of Information Technology & Electronic Engineering Vol. 17, Issue 10, Pages: 1074-1084(2016)
- Affiliations：
  
  1Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  2 MOE Key Laboratory of Optoelectronic Technology and Systems, Chongqing University, Chongqing 400044, China
  3Department of Electrical and Computer Engineering, Texas A&M University at Qatar, Doha, Qatar
  4Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Southwest University, Chongqing 400715, China
- Author bio：
  
  E-mail: leihj@cqupt.edu.cn
  E-mail: chaogaocqu@126.com
- Funds：
- DOI：10.1631/FITEE.1601070
  CLC： TN918.8
- Received：08 May 2016，
  
  Accepted：06 June 2016，
  
  Published：2016-10
- Accepted：
Scan QR Code
Hong-jiang LEI, Imran Shafique ANSARI, Chao GAO, et al. Secrecy performance analysis of single-input multiple-output generalized-K fading channels#[J]. Frontiers of Information Technology & Electronic Engineering, 2016, 17(10): 1074-1084.
DOI：

Hong-jiang LEI, Imran Shafique ANSARI, Chao GAO, et al. Secrecy performance analysis of single-input multiple-output generalized-K fading channels#[J]. Frontiers of Information Technology & Electronic Engineering, 2016, 17(10): 1074-1084. DOI： 10.1631/FITEE.1601070.

摘要

该文研究了基于generalized-

信道的单发多收系统的物理层安全性能。分别考虑源节点在有和没有窃听信道的信道状态信息的两种情况，将generalized-

分布近似为伽马分布和混合伽马分布，分别推导出系统的保密中断概率和平均保密容量的解析表达式。最后通过蒙特卡罗仿真验证了分析结果。

Abstract

In this paper

the transmission of confidential messages through single-input multiple-output (SIMO) independent and identically generalized-e fading channels is considered

where the eavesdropper overhears the transmission from the transmitter to the receiver. Both the receiver and the eavesdropper are equipped with multiple antennas

and both active and passive eavesdroppings are considered where the channel state information of the eavesdropper's channel is or is not available at the transmitter. The secrecy performance of SIMO e systems is investigated. Analytical expressions for secrecy outage probability and average secrecy capacity of SIMO systems are derived via two different methods

in which KG distribution is approximated by the Gamma and mixture Gamma distributions

respectively. Numerical results are presented and verified via the Monte-Carlo simulation.

关键词

Keywords

references

A Abdi , , , M Kaveh . . K distribution: an appropriate substitute for Rayleigh-lognormal distribution in fading-shadowing wireless channels . . Electron. Lett. , , 1998 . . 34 ( ( 9 ): ): 851 - - 852 . . DOI: 10.1049/el:19980625 http://doi.org/10.1049/el:19980625 . .

M Abramowitz , , , I.A Stegun . . Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables , , 1972 . . : : New York Dover Press , , . .

V.S Adamchik , , , O.I Marichev . . The algorithm for calculating integrals of hypergeometric type functions and its realization in REDUCE system . . 1990 . . Proc. Int. Symp. on Symbolic and Algebraic Computation . . 212 - - 224 . . DOI: 10.1145/96877.96930 http://doi.org/10.1145/96877.96930 . .

S Al-Ahmadi , , , H Yanikomeroglu . . On the approximation of the generalized-K distribution by a Gamma distribution for modeling composite fading channels . . IEEE Trans. Wirel. Commun. , , 2010a . . 9 ( ( 2 ): ): 706 - - 713 . . DOI: 10.1109/TWC.2010.02.081266 http://doi.org/10.1109/TWC.2010.02.081266 . .

S Al-Ahmadi , , , H Yanikomeroglu . . On the approximation of the PDF of the sum of independent generalized-K RVs by another generalized-K PDF with applications to distributed antenna systems . . 2010b . . Proc. IEEE Wireless Communications and Networking Conf. . . 1 - - 6 . . DOI: 10.1109/WCNC.2010.5506178 http://doi.org/10.1109/WCNC.2010.5506178 . .

I.S Ansari , , , S Al-Ahmadi , , , F Yilmaz , , , 等 . . A new formula for the BER of binary modulations with dualbranch selection over generalized-K composite fading channels . . IEEE Trans. Commun. , , 2011 . . 59 ( ( 10 ): ): 2654 - - 2658 . . DOI: 10.1109/TCOMM.2011.063011.100303A http://doi.org/10.1109/TCOMM.2011.063011.100303A . .

S.ö Ata , , , Í Altunbas . . Relay antenna selection for V2V communications using PLNC over cascaded fading channels . . 2015 . . Proc. Int. Wireless Communications and Mobile Computing Conf. . . 1336 - - 340 . . DOI: 10.1109/IWCMC.2015.7289276 http://doi.org/10.1109/IWCMC.2015.7289276 . .

S Atapattu , , , C Tellambura , , , H Jiang . . A mixture Gamma distribution to model the SNR of wireless channels . . IEEE Trans. Wirel. Commun. , , 2011 . . 10 ( ( 12 ): ): 4193 - - 4203 . . DOI: 10.1109/TWC.2011.111210.102115 http://doi.org/10.1109/TWC.2011.111210.102115 . .

P.S Bithas , , , A.A Rontogiannis . . Mobile communication systems in the presence of fading/shadowing, noise and interference . . IEEE Trans. Commun. , , 2015 . . 63 ( ( 3 ): ): 724 - - 737 . . DOI: 10.1109/TCOMM.2015.2390625 http://doi.org/10.1109/TCOMM.2015.2390625 . .

P.S Bithas , , , N.C Sagias , , , P.T Mathiopoulos , , , 等 . . On the performance analysis of digital communications over generalized-K fading channels . . IEEE Commun. Lett. , , 2006 . . 10 ( ( 5 ): ): 353 - - 355 . . DOI: 10.1109/LCOMM.2006.1633320 http://doi.org/10.1109/LCOMM.2006.1633320 . .

M Bloch , , , J Barros , , , M.R.D Rodrigues , , , 等 . . Wireless information-theoretic security . . IEEE Trans. Inform. Theory , , 2008 . . 54 ( ( 6 ): ): 2515 - - 2534 . . DOI: 10.1109/TIT.2008.921908 http://doi.org/10.1109/TIT.2008.921908 . .

N.D Chatzidiamantis , , , G.K Karagiannidis . . On the distribution of the sum of Gamma-Gamma variates and applications in RF and optical wireless communications . . IEEE Trans. Commun. , , 2011 . . 59 ( ( 5 ): ): 1298 - - 1308 . . DOI: 10.1109/TCOMM.2011.020811.090205 http://doi.org/10.1109/TCOMM.2011.020811.090205 . .

W Cheng . . Performance analysis and comparison of dual-hop amplify-and-forward relaying over mixture Gamma and generalized-K fading channels . . 2013 . . Proc. Int. Conf. on Wireless Communications & Signal Processing . . 1 - - 6 . . DOI: 10.1109/WCSP.2013.6677092 http://doi.org/10.1109/WCSP.2013.6677092 . .

I Gradshteyn , , , I Ryzhik . . Table of Integrals, Series, and Products (7th Ed.) , , 2007 . . : : USA Academic Press , , . .

Y Jiang , , , J Zhu , , , Y Zou . . Secrecy outage analysis of multi-user multi-eavesdropper cellular networks in the face of cochannel interference . . Dig. Commun. Netw. , , 2015 . . 1 ( ( 1 ): ): 68 - - 74 . . DOI: 10.1016/j.dcan.2015.02.002 http://doi.org/10.1016/j.dcan.2015.02.002 . .

J Jung , , , S.R Lee , , , H Park , , , 等 . . Diversity analysis over composite fading channels using a mixture Gamma distribution . . 2013 . . Proc. IEEE Int. Conf. on Communications . . 5824 - - 5828 . . DOI: 10.1109/ICC.2013.6655526 http://doi.org/10.1109/ICC.2013.6655526 . .

J Jung , , , S.R Lee , , , H Park , , , 等 . . Capacity and error probability analysis of diversity reception schemes over generalized-K fading channels using a mixture Gamma distribution . . IEEE Trans. Wirel. Commun. , , 2014 . . 13 ( ( 9 ): ): 4721 - - 4730 . . DOI: 10.1109/TWC.2014.2331691 http://doi.org/10.1109/TWC.2014.2331691 . .

A Laourine , , , M.S Alouini , , , S Affes , , , 等 . . On the performance analysis of composite multipath/ shadowing channels using the G-distribution . . IEEE Trans. Commun. , , 2009 . . 57 ( ( 4 ): ): 1162 - - 1170 . . DOI: 10.1109/TCOMM.2009.04.070258 http://doi.org/10.1109/TCOMM.2009.04.070258 . .

H Lei , , , C Gao , , , I Ansari , , , 等 . . On physical layer security over SIMO generalized-K fading channels . . IEEE Trans. Veh. Technol. , , 2015a . . 65 ( ( 9 ): ): 7780 - - 7785 . . DOI: 10.1109/TVT.2015.2496353 http://doi.org/10.1109/TVT.2015.2496353 . .

H Lei , , , C Gao , , , Y Guo , , , 等 . . On physical layer security over generalized Gamma fading channels . . IEEE Commun. Lett. , , 2015b . . 19 ( ( 7 ): ): 1257 - - 1260 . . DOI: 10.1109/LCOMM.2015.2426171 http://doi.org/10.1109/LCOMM.2015.2426171 . .

H Lei , , , H Zhang , , , I Ansari , , , 等 . . Performance analysis of physical layer security over generalized-K fading channels using a mixture Gamma distribution . . IEEE Commun. Lett. , , 2016a . . 20 ( ( 2 ): ): 408 - - 411 . . DOI: 10.1109/LCOMM.2015.2504580 http://doi.org/10.1109/LCOMM.2015.2504580 . .

H Lei , , , H Zhang , , , I Ansari , , , 等 . . Secrecy outage analysis for SIMO underlay cognitive radio networks over generalized-K fading channels . . IEEE Signal Process. Lett. , , 2016b . . 23 ( ( 8 ): ): 1106 - - 1110 . . DOI: 10.1109/LSP.2016.2587323 http://doi.org/10.1109/LSP.2016.2587323 . .

H Liu , , , H Zhao , , , H Jiang , , , 等 . . Physical-layer secrecy outage of spectrum sharing CR systems over fading channels . . Sci. China Inform. Sci. , , 2016 . . 59 102308 DOI: 10.1007/s11432-015-5451-2 http://doi.org/10.1007/s11432-015-5451-2 . .

X Liu . . Probability of strictly positive secrecy capacity of the Weibull fading channel . . 2013 . . Proc. IEEE Global Communications Conf. . . 659 - - 664 . . DOI: 10.1109/GLOCOM.2013.6831147 http://doi.org/10.1109/GLOCOM.2013.6831147 . .

G Pan , , , C Tang , , , X Zhang , , , 等 . . Physical-layer security over non-small-scale fading channels . . IEEE Trans. Veh. Technol. , , 2016 . . 65 ( ( 3 ): ): 1326 - - 1339 . . DOI: 10.1109/TVT.2015.2412140 http://doi.org/10.1109/TVT.2015.2412140 . .

A.P Prudnikov , , , Y.A Brychkov , , , O.I Marichev . . Integrals and Series, Volume 2: Special Functions . . Gordon and Breach Science Publishers, New York , , 1992 . . .

P.M Shankar . . Error rates in generalized shadowed fading channels . . Wirel. Pers. Commun. , , 2004 . . 28 ( ( 3 ): ): 233 - - 238 . . DOI: 10.1023/B:wire.0000032253.68423.86 http://doi.org/10.1023/B:wire.0000032253.68423.86 . .

G.L Stuber . . Principles of Mobile Communication . . Springer Science & Business Media, New York , , 2011 . . .

L Wang , , , M Elkashlan , , , J Huang , , , 等 . . Secure transmission with antenna selection in MIMO Nakagami-m fading channels . . IEEE Trans. Wirel. Commun. , , 2014 . . 13 ( ( 11 ): ): 6054 - - 6067 . . DOI: 10.1109/TWC.2014.2359877 http://doi.org/10.1109/TWC.2014.2359877 . .

S Yadav , , , P.K Upadhyay . . Performance analysis of two-way AF relaying systems over cascaded generalized- K fading channels . . 2013 . . Proc. National Conf. on Communications . . 1 - - 5 . . DOI: 10.1109/NCC.2013.6487901 http://doi.org/10.1109/NCC.2013.6487901 . .

N Yang , , , L Wang , , , G Geraci , , , 等 . . Safeguarding 5G wireless communication networks using physical layer security . . IEEE Commun. Mag. , , 2015 . . 53 ( ( 4 ): ): 20 - - 27 . . DOI: 10.1109/MCOM.2015.7081071 http://doi.org/10.1109/MCOM.2015.7081071 . .

Y Zou , , , X Wang , , , W Shen . . Optimal relay selection for physical-layer security in cooperative wireless networks . . IEEE J. Sel. Areas Commun. , , 2013 . . 31 ( ( 10 ): ): 2099 - - 2111 . . DOI: 10.1109/JSAC.2013.131011 http://doi.org/10.1109/JSAC.2013.131011 . .

Y Zou , , , B Champagne , , , W.P Zhu , , , 等 . . Relayselection improves the security-reliability trade-off in cognitive radio systems . . IEEE Trans. Commun. , , 2015a . . 63 ( ( 1 ): ): 215 - - 228 . . DOI: 10.1109/TCOMM.2014.2377239 http://doi.org/10.1109/TCOMM.2014.2377239 . .

Y Zou , , , J Zhu , , , X Wang , , , 等 . . Improving physicallayer security in wireless communications using diversity techniques . . IEEE Netw. , , 2015b . . 29 ( ( 1 ): ): 42 - - 48 . . DOI: 10.1109/MNET.2015.7018202 http://doi.org/10.1109/MNET.2015.7018202 . .

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

Secure analysis on artificial-noise-aided simultaneous wireless information and power transfer systems

Secrecy outage performance for wireless-powered relaying systems with nonlinear energy harvesters

Physical layer security of underlay cognitive radio using maximal ratio combining#

Related Author

Wei-min HOU

Qing-shan TANG

Ji-liang ZHANG

Gao-feng PAN

Yi-yuan XIE

Hui ZHAO

Dan-yang WANG

Chao-qing TANG

Related Institution

School of Information Science and Engineering, Hebei University of Science and Technology

School of Physics & Electronic Science, Changsha University of Science & Technology

Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, School of Electronic and Information Engineering, Southwest University

School of Electronic and Information Engineering, Southwest University

School of Electrical & Electronic Engineering, Newcastle University, Newcastle upon Tyne

Chat

Address：Zhejiang University Press, 148 Tianmushan Road, Hangzhou, China Postal code：310028
Tel：+86-571-88273162 Email：fitee@zju.edu.cn
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰