| Citation: | HUANG Kaizhi, XU Yunjia, DING Dazhao, QI Xiaohui, CHEN Yajun. Secrecy Performance Analysis of K-tier Dense Heterogeneous CellularNetworks with Imperfect Channel State Information[J]. Journal of Electronics & Information Technology, 2017, 39(10): 2456-2463. doi: 10.11999/JEIT161376 | 
 
	                | XIE B, KUMAR A, ZHAO D, et al. On secure communication in integrated heterogeneous wireless networks [J]. International Journal of Information Technology Communications  Convergence, 2010, 1(1): 4-23. doi:  10.1504/IJITCC.2010.035224. | 
| VALERO M, SANG S J, ULUAGAC A S, et al. Di-Sec: A distributed security framework for heterogeneous wireless sensor networks[C]. Proceedings of IEEE INFOCOM, 2012, 131(5): 585-593. doi:  10.1109/INFCOM.2012.6195801. | 
| BLOCH M and BARROS J. Physical-layer Security: From Information Theory to Security Engineering[M]. Cambridge University Press, 2011: 290-308. doi: 10.1017/CBO9780511 977985. | 
| WANG Huiming and ZHENG Tongxing. Physical layer security in heterogeneous cellular networks[J]. IEEE Transactions on Communications, 2016, 64(3): 1204-1219. doi:  10.1109/TCOMM.2016.2519402. | 
| WU Huici, TAO Xiaofeng, LI Na, et al. Secrecy outage probability in multi-RAT heterogeneous networks[J]. IEEE Communications Letters, 2016, 20(1): 53-56. doi: 10.1109/ LCOMM.2015.2499748. | 
| 钟智豪, 罗文宇, 彭建华. 多层异构蜂窝网协作传输和协作干扰机制的安全性能分析[J]. 中国科学: 信息科学, 2016, 46(1): 33-48. doi:  10.1360/N112015-00174. | 
| ZHONG Zhihao, LUO Wenyu, and PENG Jianhua. Secrecy performance analysis of cooperative transmission and cooperative jamming for multi-tier heterogeneous cellular networks[J]. Scientia Sinica Informationis, 2016, 46(1): 33-48. doi:  10.1360/N112015-00174. | 
| DENG Yansha, WANG Lifeng, ELKASHLAN M, et al. Physical layer security in three-tier wireless sensor networks: A stochastic geometry approach[J]. IEEE Transactions on Information Forensics  Security, 2016, 11(6): 1128-1138. doi:  10.1109/TIFS.2016.2516917. | 
| XU Xiaoming, YANG Weiwei, CAI Yueming, et al. On the secure spectral-energy efficiency tradeoff in random cognitive radio networks[J]. IEEE Journal on Selected Areas in Communications, 2016, 34(10): 2706-2722. doi: 10.1109/ JSAC.2016. 2605901. | 
| TING A, CHIENG D, KWONG K H, et al. Dynamic backhaul sensitive network selection scheme in LTE-WiFi wireless HetNet[C]. IEEE International Symposium on Personal Indoor and Mobile Radio Communications, 2013: 3061-3065. doi:  10.1109/PIMRC.2013.6666672. | 
| MUKHERJEE A and SWINDLEHURST A L. Robust beamforming for security in MIMO wiretap channels with imperfect CSI[J]. IEEE Transactions on Signal Processing, 2011, 59(1): 351-361. doi:  10.1109/TSP.2010.2078810. | 
| PEI Minyan, WEI Jibo, WONG Kai-Kit, et al. Masked beamforming for multiuser MIMO wiretap channels with imperfect CSI[J]. IEEE Transactions on Wireless Communications, 2012, 11(2): 544-549. doi: 10.1109/TWC. 2011.120511.110567. | 
| LIAO Weicheng, CHANG Tsunghua, MA Wingkin, et al. QoS-based transmit beamforming in the presence of eavesdroppers: An optimized artificial-noise-aided approach [J]. IEEE Transactions on Signal Processing, 2011, 59(3): 1202-1216. doi:  10.1109/TSP.2010.2094610. | 
| JO H S, SANG Y J, XIA P, et al. Heterogeneous cellular networks with flexible cell association: A comprehensive downlink SINR analysis[J]. IEEE Transactions on Wireless Communications, 2011, 11(10): 3484-3495. doi: 10.1109/ TWC.2012.081612.111361. | 
| CHEN Xiaoming. Physical layer security in multi-cell MISO downlinks with incomplete CSIA unified secrecy performance analysis[J]. IEEE Transactions on Signal Processing, 2014, 62(23): 6286-6297. doi: 10.1109/TSP. 2014.2362890. | 
| GERBRACHT S, SCHEUNERT C and JORSWIECK E A. Secrecy outage in MISO systems with partial channel information[J]. IEEE Transactions on Information Forensics  Security, 2012, 7(2): 704-716. doi: 10.1109/TIFS. 2011.2181946. | 
| DENG Yansha, WANG Lifeng, WONG K, et al. Safeguarding massive MIMO aided hetnets using physical layer security[C]. International Conference on Wireless Communications  Signal Processing, Nanjing, China, 2015: 1544-1566. | 
