KSII Transactions on Internet and Information Systems (TIIS)

Korean Society for Internet Information (한국인터넷정보학회)
권호 표지
DOI QR코드

DOI QR Code

Secrecy Spectrum and Secrecy Energy Efficiency in Massive MIMO Enabled HetNets

  • Zhong, Zhihao (National Digital Switching System Engineering & Technological Research Center) ;
  • Peng, Jianhua (National Digital Switching System Engineering & Technological Research Center) ;
  • Huang, Kaizhi (National Digital Switching System Engineering & Technological Research Center) ;
  • Xia, Lu (National Digital Switching System Engineering & Technological Research Center) ;
  • Qi, Xiaohui (National Digital Switching System Engineering & Technological Research Center)
  • Received : 2016.08.26
  • Accepted : 2016.12.23
  • Published : 2017.02.28
Download PDF
⟨ Previous Next ⟩

Abstract

Security and resource-saving are both demands of the fifth generation (5G) wireless networks. In this paper, we study the secrecy spectrum efficiency (SSE) and secrecy energy efficiency (SEE) of a K-tier massive multiple-input multiple-output (MIMO) enabled heterogeneous cellular network (HetNet), in which artificial noise (AN) are employed for secrecy enhancement. Assuming (i) independent Poisson point process model for the locations of base stations (BSs) of each tier as well as that of eavesdroppers, (ii) zero-forcing precoding at the macrocell BSs (MBSs), and (iii) maximum average received power-based cell selection, the tractable lower bound expressions for SSE and SEE of massive MIMO enabled HetNets are derived. Then, the influences on secrecy oriented spectrum and energy efficiency performance caused by the power allocation for AN, transmit antenna number, number of users served by each MBS, and eavesdropper density are analyzed respectively. Moreover, the analysis accuracy is verified by Monte Carlo simulations.

Keywords

References

  1. J. G. Andrews, S. Buzzi, W. Choi, S. V. Hanly, A. Lozano, A. C. Soong and J. C. Zhang, "What will 5G be?," IEEE Journal on Selected Areas in Communications, vol. 32, no. 6, pp. 1065-1082, June, 2014. https://doi.org/10.1109/JSAC.2014.2328098
  2. H. S. Dhillon, R. K. Ganti, F. Baccelli and J. G. Andrews, "Coverage and ergodic rate in k-tier downlink heterogeneous cellular networks," in Proc. of 49th Annual Allerton Conference on Communication, Control, and Computing, pp. 1627-1632, September 28-30, 2011.
  3. X. Ge, R. Zi, H. Wang, J. Zhang and M. Jo, "Multi-user massive MIMO communication systems based on irregular antenna arrays," IEEE Transactions on Wireless Communications, vol. 15, no. 8, pp. 5287-5301, August, 2016. https://doi.org/10.1109/TWC.2016.2555911
  4. V. Jungnickel, K. Manolakis, W. Zirwas, B. Panzner, V. Braun, M. Lossow and et al., "The role of small cells, coordinated multipoint, and massive MIMO in 5G," IEEE Communications Magazine, vol. 52, no. 5, pp. 44-51, May, 2014. https://doi.org/10.1109/MCOM.2014.6815892
  5. D. C. Araujo, T. Maksymyuk, A. L. Almeida, T. Maciel, J. C. Mota and M. Jo, "Massive MIMO: survey and future research topics," IET Communications, vol. 10, no. 15, pp. 1938-1946, October, 2016. https://doi.org/10.1049/iet-com.2015.1091
  6. W. Liu, S. Jin, C. Wen and X. You, "A tractable approach to uplink spectral efficiency of two-tier massive MIMO cellular HetNets," IEEE Communications Letters, vol. 20, no. 2, pp. 348-351, February, 2016. https://doi.org/10.1109/LCOMM.2015.2503758
  7. A. He, L. Wang, M. Elkashlan, Y. Chen and K. K. Wong, "Spectrum and energy efficiency in massive MIMO enabled HetNets: A stochastic geometry approach," IEEE Communications Letters, vol. 19, no. 12, pp. 2294-2297, December, 2015. https://doi.org/10.1109/LCOMM.2015.2493060
  8. A. Adhikary, H. S. Dhillon, and G. Caire, "Massive-MIMO meets HetNet: Interference coordination through spatial blanking," IEEE Journal on Selected Areas in Communications, vol. 33, no. 6, pp. 1171-1186, June, 2015. https://doi.org/10.1109/JSAC.2015.2416986
  9. D. Liu, L. Wang, Y. Chen, T. Zhang, K. K. Chai and M. Elkashlan, "Distributed energy efficient fair user association in massive MIMO enabled HetNets," IEEE Communications Letters, vol. 19, no. 10, pp. 1770-1773, October, 2015. https://doi.org/10.1109/LCOMM.2015.2454504
  10. Q. Ye, O. Y. Bursalioglu, H. C. Papadopoulos, C. Caramanis and J. G. Andrews, "User association and interference management in massive MIMO HetNets," IEEE Transactions on Communications, vol. 64, no. 5, pp. 2049-2065, May, 2016. https://doi.org/10.1109/TCOMM.2016.2547956
  11. Y. Hao, Q. Ni, H. Li and S. Hou, "Energy and spectral efficiency tradeoff with user association and power coordination in massive MIMO enabled HetNets," IEEE Communications Letters, vol. 20, no. 10, pp. 2091-2094, October, 2016. https://doi.org/10.1109/LCOMM.2016.2597832
  12. N. Yang, L. Wang, G. Geraci, M. Elkashlan, J. Yuan and M. D. Renzo, "Safeguarding 5G wireless communication networks using physical layer security," IEEE Communications Magazine, vol. 53, no. 4, pp. 20-27, April, 2015. https://doi.org/10.1109/MCOM.2015.7081071
  13. H. Wang, T. Zhang and X. Xia, "Secure MISO wiretap channels with multi-antenna passive eavesdropper: Artificial noise vs. artificial fast fading," IEEE Transactions on Wireless Communications, vol. 14, no. 1, pp. 94-106, January, 2015. https://doi.org/10.1109/TWC.2014.2332164
  14. H. M. Wang, M. Luo, Q. Yin and X. G. Xia, "Hybrid cooperative beamforming and jamming for physical-layer security of two-way relay networks," IEEE Transactions on Information Forensics and Security, vol. 8, no. 12, pp. 2007-2020, December, 2013. https://doi.org/10.1109/TIFS.2013.2287046
  15. E. Tekin and A. Yener, "The general gaussian multiple-access and two-way wiretap channels: Achievable rates and cooperative jamming," IEEE Transactions on Information Theory, vol. 54, no. 6, pp. 2735-2751, June, 2008. https://doi.org/10.1109/TIT.2008.921680
  16. T. Lv, H. Gao and S. Yang, "Secrecy transmit beamforming for heterogeneous networks," IEEE Journal on Selected Areas in Communications, vol. 33, no. 6, pp. 1154-1170, June, 2015. https://doi.org/10.1109/JSAC.2015.2416984
  17. H. Wu, X. Tao, N. Li and J. Xu, "Secrecy outage probability in Multi-RAT heterogeneous networks," IEEE Communications Letters, vol. 20, no. 1, pp. 53-56, January, 2016. https://doi.org/10.1109/LCOMM.2015.2499748
  18. H. Wang, T. Zheng, J. Yuan, D. Towsley and M. H. Lee, "Physical layer security in heterogeneous cellular networks," IEEE Transactions on Communications, vol. 64, no. 3, pp. 1204-1219, March, 2016. https://doi.org/10.1109/TCOMM.2016.2519402
  19. Y. Deng, L. Wang, K. K. Wong, A. Nallanathan, M. Elkashlan and S. Lambotharan, "Safeguarding massive MIMO aided HetNets using physical layer security," in Proc. of Wireless Communications and Signal Processing (WCSP), 2015 IEEE, pp. 1-5, 2015.
  20. M. Xu, X. Tao, F. Yang, and H. Wu, "Enhancing secured coverage with COMP transmission in heterogeneous cellular networks," IEEE Communications Letters, vol. 20, no. 11, pp. 2272-2275, November, 2016. https://doi.org/10.1109/LCOMM.2016.2598536
  21. Z. Hasan, H. Boostanimehr and V. K. Bhargava, "Green cellular networks: a survey, some research issues and challenges," IEEE Communications Surveys & Tutorials, vol. 13, no. 4, pp. 524-540, November, 2011. https://doi.org/10.1109/SURV.2011.092311.00031
  22. W. Yu, L. Musavian and Q. Ni, "Tradeoff analysis and joint optimization of link-layer energy efficiency and effective capacity toward green communications," IEEE Transactions on Wireless Communications, vol. 15, no. 5, pp. 3339-3353, May, 2016. https://doi.org/10.1109/TWC.2016.2520472
  23. Z. Song, Q. Ni, K. Navaie S. Hou, S. Wu, and Xin Sun, "On the spectral-energy efficiency and rate fairness tradeoff in relay-aided cooperative OFDMA systems," IEEE Transactions on Wireless Communications, vol. 15, no. 9, pp. 6342-6355, September, 2016. https://doi.org/10.1109/TWC.2016.2583421
  24. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th Edition, Elsevier, Burlington, 2007.
  25. A. D. Wyner, "The wire-tap channel," The Bell System Technical Journal, vol. 54, no. 8, pp. 1355-1387, October, 1975. https://doi.org/10.1002/j.1538-7305.1975.tb02040.x
  26. P. C. Pinto, J. Barros and M. Z. Win, "Secure communication in stochastic wireless networks--Part I: Connectivity," IEEE Transactions on Information Forensics and Security, vol. 7, no. 1, pp. 125-138, February, 2012. https://doi.org/10.1109/TIFS.2011.2165946
  27. E. Bjornson, L. Sanguinetti, J. Hoydis and M. Debbah, "Designing multi-user MIMO for energy efficiency: When is massive MIMO the answer?," in Proc. of Wireless Communications and Networking Conference (WCNC), 2014 IEEE, pp. 242-247, April 6-9, 2014.
  28. G. Auer, V. Giannini, C. Desset, I. Godor, P. Skillermark, M. Olsson and et al., "How much energy is needed to run a wireless network?," IEEE Wireless Communications, vol. 18, no. 5, pp. 40-49, October, 2011. https://doi.org/10.1109/MWC.2011.6056691
  29. H. Jo, Y. J. Sang, P. Xia and J. G. Andrews, "Heterogeneous cellular networks with flexible cell association: A comprehensive downlink SINR analysis," IEEE Transactions on Wireless Communications, vol. 11, no. 10, pp. 3484-3495, October, 2012. https://doi.org/10.1109/TWC.2012.081612.111361
  30. F. Baccelli, and B. Bllaszczyszyn, "Stochastic geometry and wireless networks: Volume I Theory," Foundations and Trends in Networking, vol. 3, no. 3-4, pp. 249-449, March, 2009. https://doi.org/10.1561/1300000006
  31. S. N. Chiu, D. Stoyan, W. S. Kendall and J. Mecke, Stochastic Geometry and Its Applications, 3rd Edition, Wiley, New York, 2013.

Cited by

  1. Analytical Study on Inter-Cell Handover via Non-Concentric Circles in Wireless Heterogeneous Small Cell Networks vol.12, pp.5, 2017, https://doi.org/10.3837/tiis.2018.05.007