Skip to main content
Log in

Joint cooperative beamforming and artificial noise design for secure AF relay networks with energy-harvesting eavesdroppers

  • Published:
Frontiers of Information Technology & Electronic Engineering Aims and scope Submit manuscript

Abstract

In this paper, we investigate physical layer security for simultaneous wireless information and power transfer in amplify-and-forward relay networks. We propose a joint robust cooperative beamforming and artificial noise scheme for secure communication and efficient wireless energy transfer. Specifically, by treating the energy receiver as a potential eavesdropper and assuming that only imperfect channel state information can be obtained, we formulate an optimization problem to maximize the worst-case secrecy rate between the source and the legitimate information receiver under both the power constraint at the relays and the wireless power harvest constraint at the energy receiver. Since such a problem is non-convex and hard to tackle, we propose a two-level optimization approach which involves a one-dimensional search and semidefinite relaxation. Simulation results show that the proposed robust scheme achieves better worst-case secrecy rate performance than other schemes.

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

Access this article

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.

Similar content being viewed by others

References

  • Andrews, J.G., Buzzi, S., Choi, W., et al., 2014. What will 5G be? IEEE J. Sel. Areas Commun., 32(6): 1065–1082. http://dx.doi.org/10.1109/JSAC.2014.2328098

    Article  Google Scholar 

  • Boyd, S., Vandenberghe, L., 2004. Convex Optimization. Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Charnes, A., Cooper, W.W., 1962. Programming with linear fractional functionals. Nav. Res. Logist., 9(3–4): 181–186. http://dx.doi.org/10.1002/nav.3800090303

    Article  MathSciNet  Google Scholar 

  • Chen, X., Ng, D.W.K., Chen, H., 2016. Secrecy wireless information and power transfer: challenges and opportunities. IEEE Wirel. Commun., 23(2): 54–61. http://dx.doi.org/10.1109/MWC.2016.7462485

    Article  Google Scholar 

  • Chu, Z., Zhu, Z., Hussein, J., 2016. Robust optimization for AN-aided transmission and power splitting for secure MISO SWIPT system. IEEE Commun. Lett., 20(8): 1571–1574. http://dx.doi.org/10.1109/LCOMM.2016.2572684

    Article  Google Scholar 

  • Feng, R., Li, Q., Zhang, Q., et al., 2015. Robust secure transmission in MISO simultaneous wireless information and power transfer system. IEEE Trans. Veh. Technol., 64(1): 400–405. http://dx.doi.org/10.1109/TVT.2014.2322076

    Article  Google Scholar 

  • Feng, Y., Yang, Z., Zhu, W.P., et al., 2017. Robust cooperative secure beamforming for simultaneous wireless information and power transfer in amplify-and-forward relay networks. IEEE Trans. Veh. Technol., 66(3): 2354–2366. http://dx.doi.org/10.1109/TVT.2016.2578313

    Article  Google Scholar 

  • Grant, M., Boyd, S., Ye, Y., 2005. Matlab Software for Disciplined Convex Programming. http://cvxr.com/cvx

    Google Scholar 

  • Huang, J., Li, Q., Zhang, Q., et al., 2014. Relay beamforming for amplify-and-forward multi-antenna relay networks with energy harvesting constraint. IEEE Signal Process. Lett., 21(4): 454–458. http://dx.doi.org/10.1109/LSP.2014.2305737

    Article  Google Scholar 

  • Khandaker, M.R.A., Wong, K.K., 2015a. Masked beamforming in the presence of energy-harvesting eavesdroppers. IEEE Trans. Inform. Forens. Secur., 10(1): 40–54. http://dx.doi.org/10.1109/TIFS.2014.2363033

    Article  Google Scholar 

  • Khandaker, M.R.A., Wong, K.K., 2015b. Robust secrecy beamforming with energy-harvesting eavesdroppers. IEEE Wirel. Commun. Lett., 4(1): 10–13. http://dx.doi.org/10.1109/LWC.2014.2358586

    Article  Google Scholar 

  • Krikidis, I., Timotheou, S., Nikolaou, S., et al., 2014. Simultaneous wireless information and power transfer in modern communication systems. IEEE Commun. Mag., 52(11): 104–110. http://dx.doi.org/10.1109/MCOM.2014.6957150

    Article  Google Scholar 

  • Li, J., Petropulu, A.P., Weber, S., 2011. On cooperative relaying schemes for wireless physical layer security. IEEE Trans. Signal Process., 59(10): 4985–4997. http://dx.doi.org/10.1109/TSP.2011.2159598

    Article  MathSciNet  Google Scholar 

  • Li, Q., Zhang, Q., Qin, J., 2014. Secure relay beamforming for simultaneous wireless information and power transfer in nonregenerative relay networks. IEEE Trans. Veh. Technol., 63(5): 2462–2467. http://dx.doi.org/10.1109/TVT.2013.2288318

    Article  Google Scholar 

  • Li, Q., Yang, Y., Ma, W.K., et al., 2015. Robust cooperative beamforming and artificial noise design for physical-layer secrecy in AF multi-antenna multi-relay networks. IEEE Trans. Signal Process., 63(1): 206–220. http://dx.doi.org/10.1109/TSP.2014.2369001

    Article  MathSciNet  Google Scholar 

  • Li, Q., Zhang, Q., Qin, J., 2016. Secure relay beamforming for SWIPT in amplify-and-forward two-way relay networks. IEEE Trans. Veh. Technol., 65(11): 9006–9019. http://dx.doi.org/10.1109/TVT.2016.2519339

    Article  Google Scholar 

  • Liu, L., Zhang, R., Chua, K.C., 2013. Secrecy wireless information and power transfer with MISO beamforming. IEEE Global Communications Conf., p.1831–1836. http://dx.doi.org/10.1109/GLOCOM.2013.6831340

    Google Scholar 

  • Luo, Z.Q., Sturm, J.F., Zhang, S., 2004. Multivariate nonnegative quadratic mappings. SIAM J. Optim., 14(4): 1140–1162. http://dx.doi.org/10.1137/S1052623403421498

    Article  MathSciNet  Google Scholar 

  • Luo, Z.Q., Ma, W.K., So, A.M.C., et al., 2010. Semidefinite relaxation of quadratic optimization problems. IEEE Signal Process. Mag., 27(3): 20–34. http://dx.doi.org/10.1109/MSP.2010.936019

    Article  Google Scholar 

  • Rodriguez, L.J., Tran, N.H., Duong, T.Q., et al., 2015. Physical layer security in wireless cooperative relay networks: state of the art and beyond. IEEE Commun. Mag., 53(12): 32–39. http://dx.doi.org/10.1109/MCOM.2015.7355563

    Article  Google Scholar 

  • Salem, A., Hamdi, K.A., Rabie, K.M., 2016. Physical layer security with RF energy harvesting in AF multi-antenna relaying networks. IEEE Trans. Commun., 64(7): 3025–3038. http://dx.doi.org/10.1109/TCOMM.2016.2573829

    Article  Google Scholar 

  • Shi, Q., Xu, W., Wu, J., et al., 2015. Secure beamforming for MIMO broadcasting with wireless information and power transfer. IEEE Trans. Wirel. Commun., 14(5): 2841–2853. http://dx.doi.org/10.1109/TWC.2015.2395414

    Article  Google Scholar 

  • Son, P.N., Kong, H.Y., 2015. Cooperative communication with energy-harvesting relays under physical layer security. IET Commun., 9(17): 2131–2139. http://dx.doi.org/10.1049/iet-com.2015.0186

    Article  Google Scholar 

  • Tian, M., Huang, X., Zhang, Q., et al., 2015. Robust AN-aided secure transmission scheme in MISO channels with simultaneous wireless information and power transfer. IEEE Signal Process. Lett., 22(6): 723–727. http://dx.doi.org/10.1109/LSP.2014.2368695

    Article  Google Scholar 

  • Wang, C., Wang, H.M., 2015. Robust joint beamforming and jamming for secure AF networks: low-complexity design. IEEE Trans. Veh. Technol., 64(5): 2192–2198. http://dx.doi.org/10.1109/TVT.2014.2334640

    Article  Google Scholar 

  • Wang, D., Zhang, R., Cheng, X., et al., 2016a. Capacityenhancing full-duplex relay networks based on power splitting (PS-) SWIPT. IEEE Trans. Veh. Technol., 66(6): 5445–5450. http://dx.doi.org/10.1109/TVT.2016.2616147

    Article  Google Scholar 

  • Wang, D., Zhang, R., Cheng, X., et al., 2016b. Relay selection in two-way full-duplex energy-harvesting relay networks. IEEE Global Communications Conf., p.1–6. http://dx.doi.org/10.1109/GLOCOM.2016.7842211

    Google Scholar 

  • Wang, S.H., Wang, B.Y., 2015. Robust secure transmit design in MIMO channels with simultaneous wireless information and power transfer. IEEE Signal Process. Lett., 22(11): 2147–2151. http://dx.doi.org/10.1109/LSP.2015.2464791

    Article  Google Scholar 

  • Xing, H., Wong, K.K., Nallanathan, A., 2015. Secure wireless energy harvesting-enabled AF-relaying SWIPT networks. IEEE Int. Conf. on Communications, p.2307–2312. http://dx.doi.org/10.1109/ICC.2015.7248669

    Google Scholar 

  • Xing, H., Liu, L., Zhang, R., 2016. Secrecy wireless information and power transfer in fading wiretap channel. IEEE Trans. Veh. Technol., 65(1): 180–190. http://dx.doi.org/10.1109/TVT.2015.2395725

    Article  Google Scholar 

  • Xu, J., Liu, L., Zhang, R., 2014. Multiuser MISO beamforming for simultaneous wireless information and power transfer. IEEE Trans. Signal Process., 62(18): 4798–4810. http://dx.doi.org/10.1109/TSP.2014.2340817

    Article  MathSciNet  Google Scholar 

  • 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. http://dx.doi.org/10.1109/MCOM.2015.7081071

    Article  Google Scholar 

  • Yang, Y., Li, Q., Ma, W.K., et al., 2013a. Cooperative secure beamforming for AF relay networks with multiple eavesdroppers. IEEE Signal Process. Lett., 20(1): 35–38. http://dx.doi.org/10.1109/LSP.2012.2227313

    Article  Google Scholar 

  • Yang, Y., Li, Q., Ma, W.K., et al., 2013b. Optimal joint cooperative beamforming and artificial noise design for secrecy rate maximization in AF relay networks. IEEE 14th Workshop on Signal Processing Advances in Wireless Communications, p.360–364. http://dx.doi.org/10.1109/SPAWC.2013.6612072

    Google Scholar 

  • Yuen, C., Elkashlan, M., Qian, Y., et al., 2015a. Energy harvesting communications: part 1. IEEE Commun. Mag., 53(4): 68–69. http://dx.doi.org/10.1109/MCOM.2015.7081077

    Article  Google Scholar 

  • Yuen, C., Elkashlan, M., Qian, Y., et al., 2015b. Energy harvesting communications: part 2. IEEE Commun. Mag., 53(6): 54–55. http://dx.doi.org/10.1109/MCOM.2015.7120017

    Article  Google Scholar 

  • Yuen, C., Elkashlan, M., Qian, Y., et al., 2015c. Energy harvesting communications: part 3. IEEE Commun. Mag., 53(8): 90–91. http://dx.doi.org/10.1109/MCOM.2015.7180513

    Article  Google Scholar 

  • Zhang, G., Li, X., Cui, M., et al., 2016. Signal and artificial noise beamforming for secure simultaneous wireless information and power transfer multiple-input multipleoutput relaying systems. IET Commun., 10(7): 796–804. http://dx.doi.org/10.1049/iet-com.2015.0482

    Article  Google Scholar 

  • Zhang, R., Ho, C.K., 2013. MIMO broadcasting for simultaneous wireless information and power transfer. IEEE Trans. Wirel. Commun., 12(5): 1989–2001. http://dx.doi.org/10.1109/TWC.2013.031813.120224

    Article  Google Scholar 

  • Zhang, R., Song, L., Han, Z., et al., 2012. Physical layer security for two-way untrusted relaying with friendly jammers. IEEE Trans. Veh. Technol., 61(8): 3693–3704. http://dx.doi.org/10.1109/TVT.2012.2209692

    Article  Google Scholar 

  • Zhang, R., Cheng, X., Yang, L., 2016. Cooperation via spectrum sharing for physical layer security in device-todevice communications underlaying cellular networks. IEEE Trans. Wirel. Commun., 15(8): 5651–5663. http://dx.doi.org/10.1109/TWC.2016.2565579

    Article  Google Scholar 

  • Zhang, X., 2004. Matrix Analysis and Applications. Tsinghua University Press, Beijing, China (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bang-ning Zhang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 61501507), the Jiangsu Provincial Natural Science Foundation of China (No. BK20150719), and the China Postdoctoral Science Foundation (No. 2017M610066)

ORCID: He-hao NIU, http://orcid.org/0000-0002-6423-3482

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Niu, Hh., Zhang, Bn., Guo, Dx. et al. Joint cooperative beamforming and artificial noise design for secure AF relay networks with energy-harvesting eavesdroppers. Frontiers Inf Technol Electronic Eng 18, 850–862 (2017). https://doi.org/10.1631/FITEE.1601832

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/FITEE.1601832

Key words

CLC number