Abstract
We study physical layer secure transmission with limited feedback in heterogeneous cellular networks. A transmission protocol is designed to obtain more secure and accurate channel state information (CSI) for enhancing the secrecy performance. Under the proposed protocol, we derive expressions of coverage probability and secrecy outage probability to analyze the security performance with different system parameters such as feedback CSI length and number of antennas. Furthermore, an iteration algorithm is proposed to balance the tradeoff between the feedback and transmission time, and maximize the average secrecy throughput under coverage and secrecy outage constrains. Numeric results demonstrate the optimal feedback overhead and the maximum average secrecy throughput are influenced by the number of antennas.
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References
Ghosh A, Mangalvedhe N, Ratasuk R, et al. Heterogeneous cellular networks: from theory to practice. IEEE Commun Mag, 2012, 50: 54–64
Wyner A D. The wire-tap channel. Bell Syst Tech J, 1975, 54: 1355–1387
Mukherjee A, Fakoorian S A, Huang J, et al. Principles of physical layer security in multiuser wireless networks: a survey. IEEE Commun Surv Tut, 2014, 16: 1550–1573
Fan L S, Yang N, Duong T Q, et al. Exploiting direct links for physical layer security in multiuser multirelay networks. IEEE Trans Wirel Commun, 2016, 15: 3856–3867
Chen X, Chen H H. Physical layer security in multi-cell MISO downlinks with incomplete CSI-A unified secrecy performance analysis. IEEE Trans Signal Process, 2014, 62: 6286–6297
Shin W, Vaezi M, Lee B, et al. Non-orthogonal multiple access in multi-cell networks: theory, performance, and practical challenges. IEEE Commun Mag, 2017, 55: 176–183
Haenggi M, Andrews J G, Baccelli F, et al. Stochastic geometry and random graphs for the analysis and design of wireless networks. IEEE J Sel Areas Commun, 2009, 27: 1029–1046
Pinto P C, Barros J, Win M Z. Physical-layer security in stochastic wireless networks. In: Proceedings of the 11th IEEE Singapore International Conference on Communication Systems, 2008. 974–979
Zheng T X, Wang H M, Yin Q. On transmission secrecy outage of a multi-antenna system with randomly located eavesdroppers. IEEE Commun Lett, 2014, 18: 1299–1302
Ghogho M, Swami A. Physical-layer secrecy of MIMO communications in the presence of a Poisson random field of eavesdroppers. In: Proceedings of IEEE International Conference on Communications Workshops (ICC), 2011
ElSawy H, Hossain E, Haenggi M. Stochastic geometry for modeling, analysis, and design of multi-tier and cognitive cellular wireless networks: a survey. IEEE Commun Surv Tut, 2013, 15: 996–1019
Wang H, Zhou X Y, Reed M C. Physical layer security in cellular networks: a stochastic geometry approach. IEEE Trans Wirel Commun, 2013, 12: 2776–2787
Zhong Z H, Peng J H, Luo W Y, et al. A tractable approach to analyzing the physical-layer security in K-tier heterogeneous cellular networks. China Commun, 2015, 12: 166–173
Geraci G, Dhillon H S, Andrews J G, et al. Physical layer security in downlink multi-antenna cellular networks. IEEE Trans Commun, 2014, 62: 2006–2021
Love D J, Heath R W, Santipach W, et al. What is the value of limited feedback for MIMO channels? IEEE Commun Mag, 2004, 42: 54–59
Zhang X, Zhou X Y, McKay M R, et al. Artificial-noise-aided secure multi-antenna transmission in slow fading channels with limited feedback. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014. 3968–3972
Zhang X, McKay M R, Zhou X Y, et al. Artificial-noise-aided secure multi-antenna transmission with limited feedback. IEEE Trans Wirel Commun, 2015, 14: 2742–2754
Hu J W, Cai Y M, Yang N, et al. Artificial-noise-aided secure transmission scheme with limited training and feedback overhead. IEEE Trans Wirel Commun, 2017, 16: 193–205
Wang H M, Wang C, Ng D W. Artificial noise assisted secure transmission under training and feedback. IEEE Trans Signal Process, 2015, 63: 6285–6298
Wang H M, Zheng T X, Yuan J, et al. Physical layer security in heterogeneous cellular networks. IEEE Trans Commun, 2016, 64: 1204–1219
Santipach W, Honig M L. Capacity of a multiple-antenna fading channel with a quantized precoding matrix. IEEE Trans Inform Theory, 2009, 55: 1218–1234
Zhou S L, Wang Z D, Giannakis G B. Quantifying the power loss when transmit beamforming relies on finite-rate feedback. IEEE Trans Wirel Commun, 2005, 4: 1948–1957
Li G Y, Sun C, Zhang J Q, et al. Physical layer key generation in 5G and beyond wireless communications: challenges and opportunities. Entropy, 2019, 21: 497
Li G Y, Hu A Q, Sun C, et al. Constructing reciprocal channel coefficients for secret key generation in FDD systems. IEEE Commun Lett, 2018, 22: 2487–2490
Gradtejn I S, Ryik I M, Jeffrey A. Table of Integrals, Series, and Products. Amsterdam: Elsevier, 1980
Xia P, Chandrasekhar V, Andrews J G. Open vs. closed access femtocells in the uplink. IEEE Trans Wirel Commun, 2010, 9: 3798–3809
Qi X H, Huang K Z, Li B, et al. Physical layer security in multi-antenna cognitive heterogeneous cellular networks: a unified secrecy performance analysis. Sci China Inf Sci, 2018, 61: 022310
Chu Z, Cumanan K, Ding Z G, et al. Secrecy rate optimizations for a MIMO secrecy channel with a cooperative jammer. IEEE Trans Veh Technol, 2015, 64: 1833–1847
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This work was supported in part by National Key Research and Development Program of China (Grant No. 2017YFB0801900).
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Jiang, W., Huang, K., Xiao, S. et al. Secure transmission for heterogeneous cellular network with limited feedback. Sci. China Inf. Sci. 63, 220304 (2020). https://doi.org/10.1007/s11432-019-2836-0
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DOI: https://doi.org/10.1007/s11432-019-2836-0