Robust Beamforming Designs in Secure MIMO SWIPT IoT Networks with a Nonlinear Channel Model

Zhengyu Zhu, Ning Wang, Wanming Hao, Zhongyong Wang, Inkyu Lee

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)


In this article, we study a robust beamforming design for multiuser multiple-input-multiple-output secrecy networks with simultaneous wireless information and power transfer (SWIPT). In this system, an access point, multiple Internet-of-Things (IoT) devices under the nonlinear energy harvesting (EH) model with a help of one cooperative jammer (CJ). We employ artificial noise (AN) generation to facilitate efficient wireless energy transfer and secure transmission. To achieve EH fairness, we aim to maximize the minimum harvested energy among users subject to secrecy rate constraint and total transmit power constraint in the presence of channel estimation errors. By incorporating a norm-bounded channel uncertainty model, the original robust problem is transformed into a two-layer optimization problem, where the inner layer problem is reformulated as semidefinite programming (SDP) and the outer layer problem is solved by a one-dimensional (1-D) line search algorithm. In addition, in order to reduce computational complexity, we propose an algorithm based on sequential parametric convex approximation (SPCA). Finally, simulation results show that the proposed SPCA method achieves the same performance as the two-layer algorithm with much lower complexity.

Original languageEnglish
Article number9162099
Pages (from-to)1702-1715
Number of pages14
JournalIEEE Internet of Things Journal
Issue number3
Publication statusPublished - 2021 Feb 1

Bibliographical note

Funding Information:
Manuscript received March 5, 2020; revised May 27, 2020 and July 8, 2020; accepted July 29, 2020. Date of publication August 7, 2020; date of current version January 22, 2021. This work was supported in part by the National Natural Science Foundation of China under Grant 61801434, Grant 61801435, Grant 61771431, and Grant U1736107; in part by the Scientific and Technological Key Project of Henan Province under Grant 192102310178; in part by the Science and Technology Innovation Project of Zhengzhou under Grant 2019CXZX0037; in part by the National Key Research and Development Program of China under Grant 2019QY0302 and Grant 2019YFB1803200; and in part by the National Research Foundation through the Ministry of Science, ICT, and Future Planning (MSIP), Korean Government under Grant 2017R1A2B3012316. (Corresponding author: Inkyu Lee.) Zhengyu Zhu and Zhongyong Wang are with the School of Information Engineering, Zhengzhou University, Zhengzhou 450001, China (e-mail:;

Publisher Copyright:
© 2014 IEEE.


  • Internet of Things
  • nonlinear energy harvesting
  • physical-layer security
  • robust beamforming
  • simultaneous wireless information and power transfer

ASJC Scopus subject areas

  • Signal Processing
  • Information Systems
  • Hardware and Architecture
  • Computer Science Applications
  • Computer Networks and Communications


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