Sum Secrecy Spectral Efficiency Maximization in Downlink MU-MIMO: Colluding Eavesdroppers

Jinseok Choi, Jeonghun Park

Research output: Contribution to journalArticlepeer-review


In this paper, we consider a single-cell downlink multi-user multi-input multi-output (MU-MIMO) system in which multiple eavesdroppers coexist. The eavesdroppers overhear confidential information sent from a base station (BS). In particular, we assume a scenario of colluding eavesdroppers in which they cooperate with each other to decode the information. We develop a secure linear precoding method that maximizes the sum secrecy spectral efficiency. To this end, we formulate an optimization problem and propose a computationally-efficient algorithm that achieves a sub-optimal stationary point of the problem. Simulation results validate the proposed algorithm. The proposed method possesses several benefits: i) it is applicable in general systems, for example, an arbitrary number of eavesdroppers and confidential information set, ii) the associated complexity is relatively low, and iii) it is also applicable when only channel covariance of the eavesdroppers is available.

Original languageEnglish
Article number9312431
Pages (from-to)1051-1056
Number of pages6
JournalIEEE Transactions on Vehicular Technology
Issue number1
Publication statusPublished - 2021 Jan

Bibliographical note

Funding Information:
Manuscript received June 16, 2020; revised October 14, 2020 and December 14, 2020; accepted December 20, 2020. Date of publication January 1, 2021; date of current version February 12, 2021. This work was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) under Grant 2019R1G1A1094703 and in part by the 2020 Research Fund (1.200117.01) of UNIST (Ulsan National Institute of Science and Technology). The review of this article was coordinated by Prof. Linglong Dai. (Corresponding author: Jeonghun Park.) Jinseok Choi is with the Department of Electrical Engineering, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, South Korea (e-mail:

Publisher Copyright:
© 1967-2012 IEEE.

All Science Journal Classification (ASJC) codes

  • Automotive Engineering
  • Aerospace Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics


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