Skip to main content
Springer Nature Link
Log in

Secrecy Outage Probability of a Distributed Multi-Antenna Cooperative Communication System

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

A distributed multi-antenna cooperative communication system with amplify-and-forward mode for secure communication in the presence of an eavesdropper is considered. In the communication system, there is no direct communication link between the transmitter and the intended receiver, and all nodes except relay nodes are equipped with multi-antenna. The secrecy capacity of this multiple input multiple output multiple eavesdropper system is investigated. The communication security depends on whether the noise on wiretap channel is stronger than that on main channel or not. The secrecy outage behavior of the flat Rayleigh fading channel is discussed and a relation between the strength of the channel noise and the secrecy outage probability is obtained. It is demonstrated that the secrecy outage probability is closely related to the channel noise strength and the number of the relay nodes. The thresholds for the noises received by legitimate receiver and eavesdropper are suggested, which is useful to design the secure distributed multi-antenna cooperative communication system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Wyner, A. D. (1975). The wire-tap channel. Bell System Technical Journal, 54(8), 1355–1387.

    Article  MathSciNet  MATH  Google Scholar 

  2. Leung-Yan-Cheong, S. K., & Hellman, M. E. (1978). The Gaussian wire-tap channel. IEEE Transactions on Information Theory, 24, 451–456.

    Article  MathSciNet  MATH  Google Scholar 

  3. Shafiee, S., & Ulukus, S. (2007). Achievable rates in Gaussian MISO channels with secrecy constraints. IEEE International Symposium on Information Theory, 1(7), 2466–2470.

    Google Scholar 

  4. Tian, M., Huang, X., Zhang, Q., & Qin, J. (2015). Robust AN-aided secure transmission scheme in MISO channels with simultaneous wireless information and power transfer. IEEE Signal Processing Letters, 22(6), 723–727.

    Article  Google Scholar 

  5. Chen, X., & Chen, H. (2014). Physical layer security in multi-cell MISO downlinks with incomplete CSI—A unified secrecy performance analysis. IEEE Transactions on Information Theory, 62(23), 6286–6297.

    MathSciNet  Google Scholar 

  6. Fakoorian, S. A. A., & Swindlehurst, A. L. (2011). Secrecy capacity of MISO Gaussian wiretap channel with a cooperative jammer. In IEEE 12th workshop on signal processing advance in wireless communications (pp. 416–420).

  7. Zhu, J., Schober, R., & Bhargava, V. K. (2014). Secure transmission in multicell massive MIMO systems. IEEE Transactions on Wireless Communications, 13(9), 4766–4781.

    Article  Google Scholar 

  8. Shen, C., Li, W., & Chang, T. (2014). Wireless information and energy transfer in multi-antenna interference channel. IEEE Transactions on Signal Processing, 62(23), 6249–6264.

    Article  MathSciNet  Google Scholar 

  9. Parada, P., & Blahut, R. (2005). Secrecy capacity of SIMO and slow fading channels. IEEE international symposium on information theory (pp. 2152–2155).

  10. Xiong, Q., Gong, Y., Liang, Y., & Li, K. (2014). Achieving secrecy of MISO fading wiretap channels via jamming and precoding with imperfect channel state information. IEEE Wireless Communications Letters, 3(4), 357–360.

    Article  Google Scholar 

  11. Gerbracht, S., Scheunert, C., & Jorwieck, A. (2012). Secrecy outage in MISO systems with partial channel information. IEEE Transactions on Information Forensics and Security, 7(2), 704–716.

    Article  Google Scholar 

  12. Wang, H., Zheng, T., & Xia, X. (2015). Secure MISO wiretap channels with multiantenna passive eavesdropper: artificial noise vs. artificial fast fading. IEEE Transactions on Wireless Communications, 14(1), 94–106.

    Article  Google Scholar 

  13. Zhang, X., Mckay, M. R., Zhou, X., et al. (2015). Artificial-noise-aided secure multi-antenna transmission with limited feedback. IEEE Transactions on Wireless Communications, 14(5), 2742–2753.

    Article  Google Scholar 

  14. Chang, N., Chae, C. B., Ha, J., et al. (2012). Secrecy rate for MISO Rayleigh fading channels with relative distance of eavesdropper. IEEE Communications Letters, 16(9), 1408–1411.

    Article  Google Scholar 

  15. Wang, B., Mu, P., & Li, Z. (2015). Secrecy rate maximization with artificial-noise-aided beamforming for MISO wiretap channels under secrecy outage constraint. IEEE Communications Letters, 19(1), 18–21.

    Article  Google Scholar 

  16. Khisti, A., & Wornell, G. W. (2010). Secure transmission with multiple antenna I: the MISOME wiretap channel. IEEE Transactions on Information Theory, 56(7), 3088–3104.

    Article  MathSciNet  Google Scholar 

  17. Khisti, A., & Wornell, G. W. (2010). Secure transmission with multiple antenna II: The MIMOME wiretap channel. IEEE Transactions on Information Theory, 56(11), 5515–5532.

    Article  MathSciNet  Google Scholar 

  18. Fakoorian, S. A. A., & Swindlehurst, A. L. (2013). Competing for secrecy in the MISO interference channel. IEEE Transaction on Signal Processing, 61(1), 170–181.

    Article  MathSciNet  Google Scholar 

  19. Li, J., & Petropulu, A. P. (2011). On ergodic secrecy rate for Gaussian MISO wiretap channels. IEEE Transaction on Wireless Communications, 10(4), 1176–1187.

    Article  Google Scholar 

  20. Li, J., & Petropulu, A. P. (2012). Explicit solution of worst-case secrecy rate for MISO wiretap channels with spherical uncertainty. IEEE Transaction on Signal Processing, 60(7), 3892–3895.

    Article  MathSciNet  Google Scholar 

  21. Son, P. N., & Kong, H. Y. (2014). Exact outage probability of two-way decode-and-forward scheme with opportunistic relay selection under physical layer security. IEEE Wireless Personal Communications, 51(1), 6249–6264.

    Google Scholar 

  22. Pinto, P. C., Barros, J., & Win, M. Z. (2009). Wireless physical-layer security: the case of colluding eavesdroppers. In IEEE international symposium on information theory (pp. 2442–2446).

  23. Yang, N., Yeoh, P. L., & Elkashlan, M. (2013). MIMO wiretap channels: Secure transmission using transmit antenna selection and receive generalized selection combining. IEEE Communication Letters, 17(9), 1754–1757.

    Article  Google Scholar 

  24. Zhou, N. R., Chen, X., Li, C. S., & Xue, Z. (2014). Secrecy rate of two-hop AF relaying networks with an untrusted relay. Wireless Personal Communications, 75(1), 119–129.

    Article  Google Scholar 

  25. Islam, M. R. (2010). Secret data communication in a degraded practical multiple input multiple output multiple eavesdropper channel. In Proceeding of 13th international conference on computer and information technology (pp. 594–599).

  26. King, C. (2014). Fundamentals of wireless communications. In IEEE-IAS/PCA cement industry technical conference (pp. 470–474).

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 61371115), the Natural Science Foundation of Jiangxi Province, China (Grant No. 20132BAB201019), the Foundation for Young Scientists of Jiangxi Province (Jinggang Star) (Grant No. 20122BCB23002), the Research Foundation of the Education Department of Jiangxi Province (Grant No. GJJ14133) and the Opening Project of Shanghai Key Laboratory of Integrate Administration Technologies for Information Security (Grant No. AGK2014004).

Author information

Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Nan Run Zhou, Xiao Rong Liang, Zhi Juan Kang & Li Hua Gong

  2. Shanghai Key Laboratory of Integrate Administration Technologies for Information Security, Shanghai Jiao Tong University, Shanghai, 200240, China

    Li Hua Gong & Zhi Xue

Authors
  1. Nan Run Zhou
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Xiao Rong Liang
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. Zhi Juan Kang
    View author publications

    You can also search for this author inPubMed Google Scholar

  4. Li Hua Gong
    View author publications

    You can also search for this author inPubMed Google Scholar

  5. Zhi Xue
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Nan Run Zhou.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhou, N.R., Liang, X.R., Kang, Z.J. et al. Secrecy Outage Probability of a Distributed Multi-Antenna Cooperative Communication System. Wireless Pers Commun 90, 1635–1645 (2016). https://doi.org/10.1007/s11277-016-3415-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-016-3415-5

Keywords