Secure multiuser MISO communication systems with limited feedback link


Physical layer security is one of the promising techniques for the security of next-generation wireless systems. In this paper, we analyze the impact of the limited feedback link on the secrecy capacity for a system which includes a base station with multiple antennas, a single legitimate user selected from multiple active ones and multiple eavesdroppers. We propose to design a limited feedback link by reducing the feedback load and quantizing the channel state information (CSI) of legitimate users to establish a secure communication system. The feedback load is decreased with a self discrimination criterion at the legitimate users’ side while keeping the secrecy capacity constant. The best legitimate user is selected based on the quantized CSI through a limited feedback link. We also analyze the impact of CSI of eavesdroppers, which information may or may not be available at transmitter. In practical cases where eavesdroppers are passive and their location is not known by the transmitter, an artificial noise is used to disrupt their reception. When the CSI of eavesdroppers is known, the generalized singular value decomposition is applied. We illustrate the performance results of the proposed limited feedback link through the availability of CSI of eavesdroppers at the transmitter.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7


  1. 1.

    Wyner AD (1975) The wire-tap channel. Bell Syst Techn J 54(8):1355–1387

    MathSciNet  Article  MATH  Google Scholar 

  2. 2.

    Csiszar I, Korner J (1978) Broadcast channels with confidential messages. IEEE Trans Inf Theory 24 (3):339–348

    MathSciNet  Article  MATH  Google Scholar 

  3. 3.

    Leung-Yan-Cheong S, Hellman M (1978) The Gaussian wire-tap channel. IEEE Trans Inf Theory 24 (4):451–456

    MathSciNet  Article  MATH  Google Scholar 

  4. 4.

    Gopala PK, Lai L, El Gamal H (2008) On the secrecy capacity of fading channels. IEEE Trans Inf Theory 54(10):4687–4698

    MathSciNet  Article  MATH  Google Scholar 

  5. 5.

    Liang Y, Poor HV, Shamai S (2008) Secure communication over fading channels. IEEE Trans Inf Theory 54(6):2470–2492

    MathSciNet  Article  MATH  Google Scholar 

  6. 6.

    Khisti A, Tchamkerten A, Wornell GW (2008) Secure broadcasting over fading channels. IEEE transactions on information theory 54(6):2453–2469

    MathSciNet  Article  MATH  Google Scholar 

  7. 7.

    Parada P, Blahut R Secrecy capacity of SIMO and slow fading channels. Proceedings. International Symposium on Information Theory, 2005. ISIT 2005. Adelaide, SA, 2005, pp

  8. 8.

    Li Z, Trappe W, Yates R (2007) Secret Communication via Multi-antenna Transmission, 2007 41st Annual Conference on Information Sciences and Systems, Baltimore, pp 905–910

  9. 9.

    Shafiee S, Ulukus S (2007) Achievable Rates in Gaussian MISO Channels with Secrecy Constraints, 2007 IEEE International Symposium on Information Theory, Nice, pp 2466–2470

  10. 10.

    Khisti A, Wornell GW (2010) Secure transmission with multiple antennas I: The MISOME wiretap channel. IEEE Trans Inf Theory 56(7):3088–3104

    MathSciNet  Article  MATH  Google Scholar 

  11. 11.

    Lai L, El Gamal H (2008) The relay–eavesdropper channel: Cooperation for secrecy. IEEE Trans Inf Theory 54(9):4005–4019

    MathSciNet  Article  MATH  Google Scholar 

  12. 12.

    Dong L, Han Z, Petropulu AP, Poor HV (2010) Improving wireless physical layer security via cooperating relays. IEEE Trans Signal Process 58(3):1875–1888

    MathSciNet  Article  Google Scholar 

  13. 13.

    Chen X, Yin R (2013) Performance analysis for physical layer security in multi-antenna downlink networks with limited CSI Feedback. IEEE Wirel Commun Lett 2(5):503–506

    Article  Google Scholar 

  14. 14.

    Geraci G, Couillet R, Yuan J, Debbah M, Collings IB (2013) Secrecy sum-rates with regularized channel inversion precoding under imperfect CSI at the transmitter, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, Vancouver, pp 2896–2900

  15. 15.

    Li N, Tao X, Xu J (2014) Ergodic Secrecy Sum-Rate for Downlink Multiuser MIMO Systems With Limited CSI Feedback. IEEE Commun Lett 18(6):969–972

    Article  Google Scholar 

  16. 16.

    Negi R, Goel S (2005) Secret communication using artificial noise, VTC-2005-Fall. 2005 IEEE 62nd Vehicular Technology Conference, pp 1906–1910

  17. 17.

    Goel S, Negi R (2008) Guaranteeing secrecy using artificial noise. IEEE Trans Wirel Commun 7(6):2180–2189

    Article  Google Scholar 

  18. 18.

    Lin SC, Chang TH, Liang YL, Hong YWP, Chi CY (2011) On the impact of quantized channel feedback in guaranteeing secrecy with artificial noise: the noise leakage problem. IEEE Trans Wirel Commun 10 (3):901–915

    Article  Google Scholar 

  19. 19.

    Ozdogan O, Ozbek B, Kurt GK (2016) Performance of secure multiuser MISO systems with threshold based user selection, 2016 24th Signal Processing and Communication Application Conference (SIU), Zonguldak, pp 721–724

  20. 20.

    Li N, Tao X, Wu H, Xu J, Cui Q (2016) Large-system analysis of artificial-noise-assisted communication in the multiuser downlink: Ergodic secrecy sum rate and optimal power allocation. IEEE Trans Veh Technol 65 (9):7036–7050

    Article  Google Scholar 

  21. 21.

    Deng H, Wang HM, Liu C, Wang W (2015) Performance Analysis of Linear Precoding for Secure Multiuser MIMO Systems with a Multiple-Antenna Eavesdropper, 2015 IEEE Global Communications Conference (GLOBECOM), San Diego, pp 1–6

  22. 22.

    Mo R, Yuen C, Zhang J, Chen X (2016) Beamforming design for secure downlink transmission of MU-MIMO systems with multi-antenna eavesdropper, 2016 IEEE International Conference on Communications (ICC), Kuala Lumpur, pp 1–6

  23. 23.

    Yang N, Elkashlan M, Duong TQ, Yuan J, Malaney R (2016) Optimal Transmission With Artificial Noise in MISOME Wiretap Channels. IEEE Trans Veh Technol 65(4):2170–2181

    Article  Google Scholar 

  24. 24.

    Gesbert D, Alouini MS (2004) How much feedback is multi-user diversity really worth?. 2004 IEEE International Conference on Communications, Paris, pp 234–238

  25. 25.

    Sharif M, Hassibi B (2005) On the capacity of MIMO broadcast channels with partial side information. IEEE Trans Inf Theory 51(2):506–522

    MathSciNet  Article  MATH  Google Scholar 

  26. 26.

    Huang K, Heath RW Jr., Andrews JG (2007) SDMA with a sum feedback rate constraint. IEEE Transactions on Signal Processing 55:3879–3891

    MathSciNet  Article  Google Scholar 

  27. 27.

    Jindal N (2005) MIMO broadcast channels with finite rate feedback, GLOBECOM ’05. IEEE Global Telecommunications Conference, pp 5

Download references


This work has been carried out in the framework of TUBITAK 114E626 Project.

Author information



Corresponding author

Correspondence to Berna Özbek.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Özbek, B., Özdoğan Şenol, Ö. & Karabulut Kurt, G. Secure multiuser MISO communication systems with limited feedback link. Ann. Telecommun. 73, 381–390 (2018).

Download citation


  • Physical layer security
  • Reduced feedback link
  • Quantized feedback
  • Multiple antennas