Probabilistic constrained robust secure transmission for wireless powered heterogeneous networks
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. LETTER .
December 2020, Vol. 63 220306:1–220306:3 https://doi.org/10.1007/s11432-019-2923-0
Special Focus on Challenges and New Insights for Network Security in 5G-and-Beyond
Probabilistic constrained robust secure transmission for wireless powered heterogeneous networks Kaizhi HUANG, Bo ZHANG* , Zhou ZHONG, Yajun CHEN & Xiaoming XU National Digital Switching System Engineering & Technological R&D Center, Information Engineering University, Zhengzhou 450002, China Received 6 December 2019/Revised 15 February 2020/Accepted 22 May 2020/Published online 9 November 2020 Citation Huang K Z, Zhang B, Zhong Z, et al. Probabilistic constrained robust secure transmission for wireless powered heterogeneous networks. Sci China Inf Sci, 2020, 63(12): 220306, https://doi.org/10.1007/ s11432-019-2923-0
Dear editor, Physical-layer security (PLS) has been regarded as a prominent technique to achieve secure communications for heterogeneous networks (HetNets) with simultaneous wireless information and power transfer (SWIPT) [1]. Meanwhile, the stochastic channel state information (CSI) error will decrease the PLS performance of HetNets with SWIPT. However, the existing robust PLS researches considering stochastic CSI error focus on the traditional single-tier network [2, 3], which do not consider the existence of various types of co-channel interference (CCI) in HetNets with SWIPT. Therefore, these previous studies cannot be extended to secure HetNets with SWIPT straightforwardly. In fact, by designing a transmission scheme properly, such as the cross-tier cooperation between the macrocell base station (MBS) and the femtocell base stations (FBSs), the CCI can be used to facilitate efficient power transfer and secure communications. However, the design will become difficult and complicated if considering the existence of stochastic CSI error, which motivates our work in this study.
vest energy from FBSs. In other words, the ERs can be seen as one type of FU, which do not receive information from FBSs. Therefore, FBSs can acquire the CSI of ERs. However, owing to the ambient useful and interference signals, ERs may act as potential Eves wiretapping the confidential messages for an MU. To secure the communication, we exploit the CCI and propose a robust artifical noise (AN)-aided transmission scheme applied at the MBS and FBSs. Furthermore, to design the information beamforming, energy transmission and AN vectors jointly, we formulate the problem of minimizing the total transmit power of system under the probabilistic quality-of-service (QoS) constraints on MUs, FUs and Eves, and the probabilistic EH constraints on ERs. To address it, we first convert the original optimization problem into an equivalent form. Then, we apply the Bernstein-type inequality and S-procedure to transform original probabilistic constraints into efficiently tractable linear matrix inequality (LMI) constraints, respectively. Furthermore, by applying the quadratic equality constraint, rank-one solutions can be reconstructed.
In this study, we consider a
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