Energy-Efficiency Maximization for Secure Multiuser MIMO SWIPT Systems With CSI Uncertainty
This paper studies the secure transmission issue for simultaneous wireless information and power transfer in a multiuser multiple-input-multiple-output system with multiple external eavesdroppers, where the transmitter broadcasts independent confidential messages to different legitimate receivers. E...
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doaj-ce4edb63634e4d9994031a66a01efb472021-03-29T20:33:39ZengIEEEIEEE Access2169-35362018-01-0162097210910.1109/ACCESS.2017.27817178171731Energy-Efficiency Maximization for Secure Multiuser MIMO SWIPT Systems With CSI UncertaintyXuanxuan Wang0Wei Feng1https://orcid.org/0000-0001-5147-2145Yunfei Chen2https://orcid.org/0000-0001-8083-1805Zheng Chu3https://orcid.org/0000-0001-9715-3190Ning Ge4Department of Electronic Engineering, Tsinghua University, Beijing, ChinaDepartment of Electronic Engineering, Tsinghua University, Beijing, ChinaSchool of Engineering, The University of Warwick, Coventry, U.K.5G Innovation Center, Institute of Communication Systems, University of Surrey, Guildford, U.K.Department of Electronic Engineering, Tsinghua University, Beijing, ChinaThis paper studies the secure transmission issue for simultaneous wireless information and power transfer in a multiuser multiple-input-multiple-output system with multiple external eavesdroppers, where the transmitter broadcasts independent confidential messages to different legitimate receivers. Each receiver can be seen as an internal eavesdropper intended by other receivers. Our objective is to achieve the robust beamforming design under imperfect channel state information, in which the total transmission power is minimized with constraints on the achievable secrecy rate and the energy harvesting. Since the problem is nonconvex, we propose a two-level optimization scheme. For the inner problem, we investigate two conservative relaxation approaches, large-deviation inequality and Bernstein-type inequality (BTI), to reformulate the outage secrecy rate constraints into some convex ones, yielding a convex optimization by semidefinite programming (SDP) relaxation. For the outer problem, it is a K-variable optimization problem, which can be solved via the novel line-dimensional-like search method. Moreover, we characterize the rank profile of SDP relaxed solution for these two approaches. Specifically, the optimal solution is proved to be rank-one. Numerical results are provided to verify the performance of the proposed algorithms, where the LDI-based scheme outperforms the BTI-based scheme in terms of energy efficiency.https://ieeexplore.ieee.org/document/8171731/Imperfect CSImultiuser MIMOsimultaneous wireless information and power transfer (SWIPT)secure transmission |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xuanxuan Wang Wei Feng Yunfei Chen Zheng Chu Ning Ge |
spellingShingle |
Xuanxuan Wang Wei Feng Yunfei Chen Zheng Chu Ning Ge Energy-Efficiency Maximization for Secure Multiuser MIMO SWIPT Systems With CSI Uncertainty IEEE Access Imperfect CSI multiuser MIMO simultaneous wireless information and power transfer (SWIPT) secure transmission |
author_facet |
Xuanxuan Wang Wei Feng Yunfei Chen Zheng Chu Ning Ge |
author_sort |
Xuanxuan Wang |
title |
Energy-Efficiency Maximization for Secure Multiuser MIMO SWIPT Systems With CSI Uncertainty |
title_short |
Energy-Efficiency Maximization for Secure Multiuser MIMO SWIPT Systems With CSI Uncertainty |
title_full |
Energy-Efficiency Maximization for Secure Multiuser MIMO SWIPT Systems With CSI Uncertainty |
title_fullStr |
Energy-Efficiency Maximization for Secure Multiuser MIMO SWIPT Systems With CSI Uncertainty |
title_full_unstemmed |
Energy-Efficiency Maximization for Secure Multiuser MIMO SWIPT Systems With CSI Uncertainty |
title_sort |
energy-efficiency maximization for secure multiuser mimo swipt systems with csi uncertainty |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2018-01-01 |
description |
This paper studies the secure transmission issue for simultaneous wireless information and power transfer in a multiuser multiple-input-multiple-output system with multiple external eavesdroppers, where the transmitter broadcasts independent confidential messages to different legitimate receivers. Each receiver can be seen as an internal eavesdropper intended by other receivers. Our objective is to achieve the robust beamforming design under imperfect channel state information, in which the total transmission power is minimized with constraints on the achievable secrecy rate and the energy harvesting. Since the problem is nonconvex, we propose a two-level optimization scheme. For the inner problem, we investigate two conservative relaxation approaches, large-deviation inequality and Bernstein-type inequality (BTI), to reformulate the outage secrecy rate constraints into some convex ones, yielding a convex optimization by semidefinite programming (SDP) relaxation. For the outer problem, it is a K-variable optimization problem, which can be solved via the novel line-dimensional-like search method. Moreover, we characterize the rank profile of SDP relaxed solution for these two approaches. Specifically, the optimal solution is proved to be rank-one. Numerical results are provided to verify the performance of the proposed algorithms, where the LDI-based scheme outperforms the BTI-based scheme in terms of energy efficiency. |
topic |
Imperfect CSI multiuser MIMO simultaneous wireless information and power transfer (SWIPT) secure transmission |
url |
https://ieeexplore.ieee.org/document/8171731/ |
work_keys_str_mv |
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