Vol. 97
Latest Volume
All Volumes
PIERC 145 [2024] PIERC 144 [2024] PIERC 143 [2024] PIERC 142 [2024] PIERC 141 [2024] PIERC 140 [2024] PIERC 139 [2024] PIERC 138 [2023] PIERC 137 [2023] PIERC 136 [2023] PIERC 135 [2023] PIERC 134 [2023] PIERC 133 [2023] PIERC 132 [2023] PIERC 131 [2023] PIERC 130 [2023] PIERC 129 [2023] PIERC 128 [2023] PIERC 127 [2022] PIERC 126 [2022] PIERC 125 [2022] PIERC 124 [2022] PIERC 123 [2022] PIERC 122 [2022] PIERC 121 [2022] PIERC 120 [2022] PIERC 119 [2022] PIERC 118 [2022] PIERC 117 [2021] PIERC 116 [2021] PIERC 115 [2021] PIERC 114 [2021] PIERC 113 [2021] PIERC 112 [2021] PIERC 111 [2021] PIERC 110 [2021] PIERC 109 [2021] PIERC 108 [2021] PIERC 107 [2021] PIERC 106 [2020] PIERC 105 [2020] PIERC 104 [2020] PIERC 103 [2020] PIERC 102 [2020] PIERC 101 [2020] PIERC 100 [2020] PIERC 99 [2020] PIERC 98 [2020] PIERC 97 [2019] PIERC 96 [2019] PIERC 95 [2019] PIERC 94 [2019] PIERC 93 [2019] PIERC 92 [2019] PIERC 91 [2019] PIERC 90 [2019] PIERC 89 [2019] PIERC 88 [2018] PIERC 87 [2018] PIERC 86 [2018] PIERC 85 [2018] PIERC 84 [2018] PIERC 83 [2018] PIERC 82 [2018] PIERC 81 [2018] PIERC 80 [2018] PIERC 79 [2017] PIERC 78 [2017] PIERC 77 [2017] PIERC 76 [2017] PIERC 75 [2017] PIERC 74 [2017] PIERC 73 [2017] PIERC 72 [2017] PIERC 71 [2017] PIERC 70 [2016] PIERC 69 [2016] PIERC 68 [2016] PIERC 67 [2016] PIERC 66 [2016] PIERC 65 [2016] PIERC 64 [2016] PIERC 63 [2016] PIERC 62 [2016] PIERC 61 [2016] PIERC 60 [2015] PIERC 59 [2015] PIERC 58 [2015] PIERC 57 [2015] PIERC 56 [2015] PIERC 55 [2014] PIERC 54 [2014] PIERC 53 [2014] PIERC 52 [2014] PIERC 51 [2014] PIERC 50 [2014] PIERC 49 [2014] PIERC 48 [2014] PIERC 47 [2014] PIERC 46 [2014] PIERC 45 [2013] PIERC 44 [2013] PIERC 43 [2013] PIERC 42 [2013] PIERC 41 [2013] PIERC 40 [2013] PIERC 39 [2013] PIERC 38 [2013] PIERC 37 [2013] PIERC 36 [2013] PIERC 35 [2013] PIERC 34 [2013] PIERC 33 [2012] PIERC 32 [2012] PIERC 31 [2012] PIERC 30 [2012] PIERC 29 [2012] PIERC 28 [2012] PIERC 27 [2012] PIERC 26 [2012] PIERC 25 [2012] PIERC 24 [2011] PIERC 23 [2011] PIERC 22 [2011] PIERC 21 [2011] PIERC 20 [2011] PIERC 19 [2011] PIERC 18 [2011] PIERC 17 [2010] PIERC 16 [2010] PIERC 15 [2010] PIERC 14 [2010] PIERC 13 [2010] PIERC 12 [2010] PIERC 11 [2009] PIERC 10 [2009] PIERC 9 [2009] PIERC 8 [2009] PIERC 7 [2009] PIERC 6 [2009] PIERC 5 [2008] PIERC 4 [2008] PIERC 3 [2008] PIERC 2 [2008] PIERC 1 [2008]
2019-11-04
Both Worst Case and Outage Constrained Robust Design for MIMO Wiretap Wireless Sensor Networks
By
Progress In Electromagnetics Research C, Vol. 97, 109-121, 2019
Abstract
In this paper, we consider a MIMO wiretap system in wireless sensor networks (WSNs), where the confidential signal sent to the legitimate receive (Bob) may be eavesdropped by the eavesdropper (Eve). Assuming that only partial channel state information (CSI) can be obtained by the transmitter, we consider both worst case (WC) and outage-constrained (OC) robust secrecy optimizations. To solve the WC design, we propose to linearize these logarithmic determinant terms. After linearization, we tackle the CSI uncertainty using the Nemirovski lemma. Then, an alternating optimization (AO) algorithm is proposed to solve the reformulated problem. On the other hand, to solve the OC design, we transform the probabilistic constraint into safe and tractable reformulation by the Bernstein-type inequality (BTI) and large deviation inequality (LDI), and an AO algorithm is proposed. Numerical results are provided to demonstrate the performance of the proposed scheme.
Citation
Feng Zhou, Rugang Wang, and Jinhong Bian, "Both Worst Case and Outage Constrained Robust Design for MIMO Wiretap Wireless Sensor Networks," Progress In Electromagnetics Research C, Vol. 97, 109-121, 2019.
doi:10.2528/PIERC19092801
References

1. Choi, K. W., L. Ginting, P. A. Rosyady, A. A. Aziz, and D. I. Kim, "Wireless-powered sensor networks: How to realize," IEEE Trans. Wireless Commun., Vol. 16, No. 1, 221-234, Jan. 2017.
doi:10.1109/TWC.2016.2621766

2. Ruan, T., Z. Chew, and M. Zhu, "Energy-aware approaches for energy harvesting powered wireless sensor nodes," IEEE Sensor Journal, Vol. 17, No. 7, 2165-2173, Apr. 2017.
doi:10.1109/JSEN.2017.2665680

3. Wu, J., K. Ota, M. Dong, and C. Li, "A hierarchical security framework for defending against sophisticated attacks on wireless sensor networks in smart cities," IEEE Access, Vol. 4, 416-424, Jan. 2016.
doi:10.1109/ACCESS.2016.2517321

4. Deng, Y., L. Wang, M. Elkashlan, A. Nallanathan, and R.K. Mallik, "Physical layer security in three-tier wireless sensor networks: A stochastic geometry approach," IEEE Trans. Inf. Forensics Security, Vol. 11, No. 6, 1128-1138, Jan. 2016.
doi:10.1109/TIFS.2016.2516917

5. Liu, Y., H.-H. Chen, and L. Wang, "Physical layer security for next generation wireless networks: Theories, technologies, and challenges," IEEE Commun. Surveys Tutorials, Vol. 19, No. 1, 347-376, First Quarter, 2017.
doi:10.1109/COMST.2016.2598968

6. Khisti, A. and G. W. Wornell, "Secure transmission with multiple antennas --- Part II: The MIMOME wiretap channel," IEEE Trans. Inf. Theory, Vol. 56, No. 11, 5515-5532, Nov. 2010.
doi:10.1109/TIT.2010.2068852

7. Oggier, F. and B. Hassibi, "The secrecy capacity of the MIMO wiretap channel," IEEE Trans. Inf. Theory, Vol. 57, No. 8, 4961-4972, Aug. 2011.
doi:10.1109/TIT.2011.2158487

8. Li, Q., M. Hong, H.-T. Wai, Y.-F. Liu, W.-K. Ma, and Z.-Q. Luo, "Transmit solutions for MIMO wiretap channels using alternating optimization," IEEE J. Sel. Areas Commun., Vol. 31, No. 9, 1714-1727, Sep. 2013.
doi:10.1109/JSAC.2013.130906

9. Fakoorian, S. A. A. and A. L. Swindlehurst, "Full rank solutions for the MIMO Gaussian wiretap channel with an average power constraint," IEEE Trans. Signal Process., Vol. 61, No. 10, 2620-2631, May 2013.
doi:10.1109/TSP.2013.2253774

10. Loyka, S. and C. D. Charalambous, "An algorithm for global maximization of secrecy rates in gaussian MIMO wiretap channels," IEEE Trans. Commun., Vol. 63, No. 6, 2288-2299, Jan. 2015.
doi:10.1109/TCOMM.2015.2424235

11. Shi, Q.-J., W.-Q. Xu, J.-S. Wu, E.-B. Song, and Y.-M. Wang, "Secure beamforming for MIMO broadcasting with wireless information and power transfer," IEEE Trans. Wireless Commun., Vol. 14, No. 5, 2841-2853, May 2015.
doi:10.1109/TWC.2015.2395414

12. Lee, H., C. Song, J. Moon, and I. Lee, "Precoder designs for MIMO Gaussian multiple access wiretap channels," IEEE Trans. Veh. Tech., Vol. 66, No. 9, 8563-8568, Sep. 2017.
doi:10.1109/TVT.2017.2678601

13. Masood, M., A. Chrayeb, P. Babu, I. Khalil, and M. Hasna, "A minorization-maximization algorithm for maximizing the secrecy rate of MIMOME wiretap channel," IEEE Commun. Lett., Vol. 21, No. 3, 520-523, Mar. 2017.
doi:10.1109/LCOMM.2016.2628892

14. Cumanan, K., Z. Ding, B. Sharif, G. Y. Tian, and K. K. Leung, "Secrecy rate optimizations for a MIMO secrecy channel with a multiple-antenna eavesdropper," IEEE Trans. Veh. Tech., Vol. 63, No. 4, 1678-1690, May 2014.
doi:10.1109/TVT.2013.2285244

15. Chu, Z., K. Cumanan, Z. Ding, M. Johnston, and S. Y. Le Goff, "Secrecy rate optimizations for a MIMO secrecy channel with a cooperative jammer," IEEE Trans. Veh. Tech., Vol. 64, No. 5, 1833-1847, May 2015.
doi:10.1109/TVT.2014.2336092

16. Wang, S.-H. and B.-Y. Wang, "Robust secure transmit design in MIMO channels with simultaneous wireless and information power," IEEE Signal Process. Lett., Vol. 2, No. 11, 2147-2151, Nov. 2015.
doi:10.1109/LSP.2015.2464791

17. Zhu, Z., Z. Chu, N. Wang, S. Huang, Z. Wang, and I. Lee, "Beamforming and power splitting designs for AN-aided secure multi-user MIMO SWIPT systems," IEEE Trans. Inf. Forensics Security, Vol. 12, No. 12, 2861-2874, Dec. 2017.
doi:10.1109/TIFS.2017.2721908

18. Jiang, M., Y. Li, Q. Zhang, Q. Li, and J. Qin, "Robust secure beamforming in MIMO wiretap channels with deterministically bounded channel errors," IEEE Trans. Veh. Tech., Vol. 67, No. 10, 9775-9784, Oct. 2018.
doi:10.1109/TVT.2018.2864542

19. Li, Q., W.-K. Ma, and A. M. Cho, "A safe approximation approach to secrecy outage design for MIMO wiretap channels," IEEE Signal Process. Lett., Vol. 21, No. 1, 118-121, Jun. 2014.
doi:10.1109/LSP.2013.2293884

20. Chu, Z., K. Cumanan, Z. Ding, M. Johnston, and S. L. Goff, "Robust outage secrecy rate optimizations for a MIMO secrecy channel," IEEE Wireless Commun. Lett., Vol. 4, No. 1, 86-89, Jun. 2015.
doi:10.1109/LWC.2014.2374611

21. Wu, W. and B. Wang, "Efficient transmission solutions for MIMO wiretap channels with SWIPT," IEEE Commun. Lett., Vol. 19, No. 9, 1548-1551, Sep. 2015.
doi:10.1109/LCOMM.2015.2451179

22. Khandaker, M. R. A. and K.-K. Wong, "Robust secrecy beamforming for MIMO SWIPT with probabilistic constraint ," Proc. IEEE Globecom Workshops, 1-6, Dec. 2016.

23. Yuan, Y. and Z. Ding, "Outage constrained secrecy rate maximization design with SWIPT in MIMO-CR systems," IEEE Trans. Veh. Tech., Vol. 67, No. 6, 5475-5480, Jun. 2018.
doi:10.1109/TVT.2017.2717495

24. Eldar, Y. C., A. Ben-Tal, and A. Nemirovski, "Robust mean-squared error estimation in the presence of model uncertainties," IEEE Trans. Signal Process., Vol. 53, No. 1, 168-181, Jan. 2005.
doi:10.1109/TSP.2004.838933

25. Ben-Tal, A., L. E. Ghaoui, and A. Nemirovski, "Robust Optimization," Princeton Univ. Press, Princeton, NJ, USA, 2009.
doi:10.1515/9781400831050

26. Bechar, I., "A Bernstein-type inequality for stochastic processes of quadratic forms of Gaussian variables,", avaiable online at http://arxiv.org/abs/0909.3595, Sep. 2009.

27. Wang, K.-Y., A. M.-C. So, T.-H. Chang, W.-K. Ma, and C.-Y. Chi, "Outage constrained robust transmit optimization for multiuser MISO downlinks: Tractable approximations by conic optimization," IEEE Trans. Signal Process., Vol. 62, No. 21, 5690-5705, Nov. 2014.
doi:10.1109/TSP.2014.2354312

28. Grant, M. and S. Boyd, , CVX: Matlab software for disciplined convex programming, version 1.21., Accessed on Apr. 2011. [Online]. Available: http://cvxr.com/cvx.