Secure Degrees of Freedom of the Three-User MIMO Broadcast Channel with Delayed CSIT

Zhang，Tong1; Chen，Gaojie2; Wang，Rui1

2022

10.1109/TVT.2022.3203804

IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY   Impact Factor & Quartile

0018-9545

1939-9359

This paper investigates the sum-secure degrees-of-freedom (SDoF) of three-user multiple-input multiple-output (MIMO) broadcast channel with confidential messages (BCCM) and delayed channel state information at the transmitter (CSIT). Specifically, we obtain non-trivial sum-SDoF upper and lower bounds. Firstly, we derive the sum-SDoF upper bound by means of statistical equivalence property, security constraints, and permutations. Then, for the sum-SDoF lower bound, we leverage the artificial noise transmission and interference re-transmission to design two transmission schemes, which have holistic and sequential higher-order symbol generation, respectively. For these two schemes, we propose the redundancy reduction approach for security analysis, by which the minimal duration of artificial noise transmission phase of the scheme is obtained. To eliminate the redundant equations in security analysis, this approach first identifies the constituent equations, and then analyzes the rank of assemble of them. As a result, both the proposed sum-SDoF upper and lower bounds are tighter than the existing sum-SDoF upper and lower bounds, respectively. Furthermore, the proposed lower bound showcases a three-user coding gain.

Broadcast channel confidential messages delayed CSIT MIMO communication MISO communication Receiving antennas Redundancy SDoF secure capacity Security Symbols Upper bound

EI

English

First

20223712722569

Broadcasting ; Channel state information ; Codes (symbols) ; Degrees of freedom (mechanics) ; MIMO systems ; Receiving antennas ; Security systems

Data Processing and Image Processing:723.2 ; Accidents and Accident Prevention:914.1 ; Mechanics:931.1

ENGINEERING

2-s2.0-85137542060

Scopus

1.Department of Electrical and Electronic Engineering, Southern University of Science and Technology, Shenzhen, China
2.5GIC & 6GIC, Institute for Communication Systems, University of Surrey, Guildford, UK

Zhang，Tong,Chen，Gaojie,Wang，Rui. Secure Degrees of Freedom of the Three-User MIMO Broadcast Channel with Delayed CSIT[J]. IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY,2022,PP(99):1-14.

Zhang，Tong,Chen，Gaojie,&Wang，Rui.(2022).Secure Degrees of Freedom of the Three-User MIMO Broadcast Channel with Delayed CSIT.IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY,PP(99),1-14.

Zhang，Tong,et al."Secure Degrees of Freedom of the Three-User MIMO Broadcast Channel with Delayed CSIT".IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY PP.99(2022):1-14.