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CLC number: TN929.5

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2017-03-14

Cited: 1

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Gao-feng Pan

http://orcid.org/0000-0003-1008-5717

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Frontiers of Information Technology & Electronic Engineering  2017 Vol.18 No.4 P.578-590

http://doi.org/10.1631/FITEE.1500430


Ergodic secrecy capacity of MRC/SC in single-input multiple-output wiretap systems with imperfect channel state information


Author(s):  Hui Zhao, You-yu Tan, Gao-feng Pan, Yun-fei Chen

Affiliation(s):  School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China; more

Corresponding email(s):   gfpan@swu.edu.cn

Key Words:  Ergodic secrecy capacity (ESC), Maximal ratio combining (MRC), Weighting errors, Physical layer security, Selection combining (SC), Single-input multiple-output (SIMO)


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Hui Zhao, You-yu Tan, Gao-feng Pan, Yun-fei Chen. Ergodic secrecy capacity of MRC/SC in single-input multiple-output wiretap systems with imperfect channel state information[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(4): 578-590.

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doi="10.1631/FITEE.1500430"
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Abstract: 
This paper investigates the secrecy performance of maximal ratio combining (MRC) and selection combining (SC) with imperfect channel state information (CSI) in the physical layer. In a single-input multiple-output (SIMO) wiretap channel, a source transmits confidential messages to the destination equipped with M antennas using the MRC/SC scheme to process the received multiple signals. An eavesdropper equipped with N antennas also adopts the MRC/SC scheme to promote successful eavesdropping. We derive the exact and asymptotic closed-form expressions for the ergodic secrecy capacity (ESC) in two cases: (1) MRC with weighting errors, and (2) SC with outdated CSI. Moreover, two important indicators, namely high signal-to-noise ratio (SNR) slope and high SNR power offset, which govern ESC at the high SNR region, are derived. Finally, simulations are conducted to validate the accuracy of our proposed analytical models. Results indicate that ESC rises with the increase of the number of antennas and the received SNR at the destination, and fades with the increase of those at the eavesdropper. Another finding is that the high SNR slope is constant, while the high SNR power offset is correlated with the number of antennas at both the destination and the eavesdropper.

This paper investigated the secrecy capacity of an SIMO system with imperfect CSI for both MRC and SC schemes. The analysis of the ergodic secrecy capacity was performed for two cases: 1) MRC with weighting errors and 2) SC with outdated CSI. Simulations were provided to validate their analysis and offer further insights.

存在信道状态估计误差的最大比合并/选择合并分集技术在单输入多输出窃密系统中的遍历保密容量分析

概要:在物理层中,本文研究了存在信道估计误差的最大比合并/选择合并的保密容量性能。在一个单输入多输出窃密信道中,信源向一个装备M根接收天线并采用最大比合并/选择合并技术处理多径信号的信宿发送保密信息。与此同时,一个窃密者装备N根接收天线并采用最大比合并/选择合并技术来提高窃密的成功率。我们分别推导了两种情况下遍历保密容量的精确和近似闭式表达式:(1)最大比合并带有信道估计误差;(2)选择合并带有信道延迟。此外,本文得到了高信噪比斜率和高信噪比功率补偿两个重要的参数,它们在高信噪比条件下决定了遍历保密容量。最后,本文通过仿真分析验证了所得到的闭式表达式的准确性。

关键词:遍历保密容量,最大比合并,加权误差,物理层保密,选择合并,单输入多输出

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Alouini, M.S., Goldsmith, A.J., 1999. Capacity of Rayleigh fading channels under different adaptive transmission and diversity-combining techniques. IEEE Trans. Veh. Technol., 48(4):1165-1181.

[2]Alves, H., DemoSouza, R., Debbah, M., et al., 2012. Performance of transmit antenna selection physical layer security schemes. IEEE Signal Process. Lett., 19(6):hbox372-375.

[3]Elkashlan, M., Wang, L., Duong, T.Q., et al., 2015. On the security of cognitive radio networks. IEEE Trans. Veh. Technol., 64(8):3790-3795.

[4]Ferdinand, N.S., da Costa, D.B., Latva-aho, M., 2013. Effects of outdated CSI on the secrecy performance of MISO wiretap channels with transmit antenna selection. IEEE Commun. Lett., 17(5):864-867.

[5]Gans, M.J., 1971. The effect of Gaussian error in maximal ratio combiners. IEEE Trans. Commun. Technol., 19(4):492-500.

[6]Gradshteyn, I.S., Ryzhik, I.M., 2007. Table of Integrals, Series, and Products (7th Ed.). Academic Press, Salt Lake City, USA.

[7]He, F., Man, H., Wang, W., 2011. Maximal ratio diversity combining enhanced security. IEEE Commun. Lett., 15(5):509-511.

[8]Hu, Y., Tao, Y., 2015. Secrecy outage on transmit antenna selection with weighting errors at maximal-ratio combiners. IEEE Commun. Lett., 19(4):597-600.

[9]Janarthanan, S., Bhaskar, V., 2013. Capacity analysis of Rayleigh fading channels in low signal-to-noise ratio regime for maximal ratio combining diversity because of combining errors. IET Commun., 7(8):745-754.

[10]Khatalin, S., Fonseka, J.P., 2006. On the channel capacity in Rician and Hoyt fading environments with MRC diversity. IEEE Trans. Veh. Technol., 55(1):137-141.

[11]Khuong, H.V., Sofotasios, P.C., 2013. Exact bit-error-rate analysis of underlay decode-and-forward multi-hop cognitive networks with estimation errors. IET Commun., 7(18):2122-2132.

[12]Lee, W.C.Y., 1990. Estimate of channel capacity in Rayleigh fading environment. IEEE Trans. Veh. Technol., 39(3):187-189.

[13]Lei, H., Gao, C., Guo, Y., et al., 2015. On physical layer security over generalized Gamma fading channels. IEEE Commun. Lett., 19(7):1257-1260.

[14]Lei, H., Zhang, H., Ansari, I.S., et al., 2016. Performance analysis of physical layer security over generalized-K fading channels using a mixture gamma distribution. IEEE Commun. Lett., 20(2):408-411.

[15]Liu, H., Zhao, H., Jiang, H., et al., 2016. Physical-layer secrecy outage of spectrum sharing CR systems over fading channels. Sci. China Inf. Sci., 59(4):102308.

[16]Liu, Y., Wang, L., Duy, T.T., et al., 2015. Relay selection for security enhancement in cognitive relay networks. IEEE Wirel. Commun. Lett., 4(1):46-49.

[17]Liu, Y., Wang, L., Zaidi, R., et al., 2016. Secure D2D communication in large-scale cognitive cellular networks: a wireless power transfer model. IEEE Trans. Commun., 64(1):329-342.

[18]Pan, G., Tang, C., Li, T., et al., 2015. Secrecy performance analysis for SIMO simultaneous wireless information and power transfer systems. IEEE Trans. Commun., 63(9):3423-3433.

[19]Pan, G., Tang, C., Zhang, X., et al., 2016. Physical layer security over non-small scale fading channels. IEEE Trans. Veh. Technol., 65(3):1326-1339.

[20]Rezki, Z., Khisti, A., Alouini, M.S., 2014. On the secrecy capacity of the wiretap channel with imperfect main channel estimation. IEEE Trans. Commun., 62(10):3652-3664.

[21]Shiu, Y.S., Chang, S.Y., Wu, H.C., et al., 2011. Physical layer security in wireless networks: a tutorial. IEEE Wirel. Commun. Mag., 18(2):66-74.

[22]Shrestha, A.P., Kwark, K.S., 2014. On maximal ratio diversity with weighting errors for physical layer security. IEEE Commun. Lett., 18(4):580-583.

[23]Simon, M.K., Alouini, M.S., 2005. Digital Communications over Fading Channels (2nd Ed.). John Wiley, Hoboken, USA.

[24]Sun, X., Wang, J., Xu, W., et al., 2012. Performance of secure communications over correlated fading channels. IEEE Signal Process. Lett., 19(8):479-482.

[25]Tomiuk, B.R., Beaulieu, N.C., Abu-Dayya, A.A., 1999. General forms for maximal ratio diversity with weighting errors. IEEE Trans. Commun., 47(4):488-492.

[26]Wang, L., Yang, N., Elkashlan, M., et al., 2014a. Physical layer security of maximal ratio combining in two-wave diffuse power fading channels. IEEE Trans. Inf. Foren. Sec., 9(2):247-258.

[27]Wang, L., Elkashlan, M., Huang, J., et al., 2014b. Secure transmission with antenna selection in MIMO Nakagami-m fading channels. IEEE Trans. Wirel. Commun., 13(11):6054-6067.

[28]Yang, N., Yeoh, P.L., Elkashlan, M., et al., 2013a. MIMO wiretap channels: secure transmission using transmit antenna selection and receive generalized selection combining. IEEE Commun. Lett., 17(9):1754-1757.

[29]Yang, N., Suraweera, H.A., Collings, I.B., et al., 2013b. Physical layer security of TAS/MRC with antenna correlation. IEEE Trans. Inf. Foren. Sec., 8(1):hbox254-259.

[30]Yang, N., Yeoh, P.L., Elkashlan, M., et al., 2013c. Transmit antenna selection for security enhancement in MIMO wiretap hboxchannels. IEEE Trans. Commun., 61(1):hbox144-154.

[31]Yang, N., Wang, L., Geraci, G., et al., 2015. Safeguarding 5G wireless communication networks using physical layer security. IEEE Commun. Mag., 53(4):20-27.

[32]Zhang, X., Pan, G., Tang, C., et al., 2014. Performance analysis of physical layer security over independent/correlated log-normal fading channels. Telecommunication Networks and Applications Conf., p.23-27.

[33]Zhao, H., Pan, G., 2016. The analysis on secure communications for DF and RF relaying SIMO system with Gauss errors. Sci. China Inf. Sci., 46(3):350-360.

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