Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel

In this article, the sum secure degrees-of-freedom (SDoF) of the multiple-input multiple-output (MIMO) X channel with confidential messages (XCCM) and arbitrary antenna configurations is studied, where there is no channel state information (CSI) at two transmitters and only delayed CSI at a multiple...

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Autores principales:	Tong Zhang, Gaojie Chen, Shuai Wang, Rui Wang
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	delayed CSIT information-theoretical security MIMO X channel MIMO relay secure degrees-of-freedom Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/fa81cf9389c943b39a14469284f71341
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spelling	oai:doaj.org-article:fa81cf9389c943b39a14469284f713412021-11-25T17:30:02ZFull-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel10.3390/e231114841099-4300https://doaj.org/article/fa81cf9389c943b39a14469284f713412021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1484https://doaj.org/toc/1099-4300In this article, the sum secure degrees-of-freedom (SDoF) of the multiple-input multiple-output (MIMO) X channel with confidential messages (XCCM) and arbitrary antenna configurations is studied, where there is no channel state information (CSI) at two transmitters and only delayed CSI at a multiple-antenna, full-duplex, and decode-and-forward relay. We aim at establishing the sum-SDoF lower and upper bounds. For the sum-SDoF lower bound, we design three relay-aided transmission schemes, namely, the relay-aided jamming scheme, the relay-aided jamming and one-receiver interference alignment scheme, and the relay-aided jamming and two-receiver interference alignment scheme, each corresponding to one case of antenna configurations. Moreover, the security and decoding of each scheme are analyzed. The sum-SDoF upper bound is proposed by means of the existing SDoF region of two-user MIMO broadcast channel with confidential messages (BCCM) and delayed channel state information at the transmitter (CSIT). As a result, the sum-SDoF lower and upper bounds are derived, and the sum-SDoF is characterized when the relay has sufficiently large antennas. Furthermore, even assuming no CSI at two transmitters, our results show that a multiple-antenna full-duplex relay with delayed CSI can elevate the sum-SDoF of the MIMO XCCM. This is corroborated by the fact that the derived sum-SDoF lower bound can be greater than the sum-SDoF of the MIMO XCCM with output feedback and delayed CSIT.Tong ZhangGaojie ChenShuai WangRui WangMDPI AGarticledelayed CSITinformation-theoretical securityMIMO X channelMIMO relaysecure degrees-of-freedomScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1484, p 1484 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	delayed CSIT information-theoretical security MIMO X channel MIMO relay secure degrees-of-freedom Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	delayed CSIT information-theoretical security MIMO X channel MIMO relay secure degrees-of-freedom Science Q Astrophysics QB460-466 Physics QC1-999 Tong Zhang Gaojie Chen Shuai Wang Rui Wang Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel
description	In this article, the sum secure degrees-of-freedom (SDoF) of the multiple-input multiple-output (MIMO) X channel with confidential messages (XCCM) and arbitrary antenna configurations is studied, where there is no channel state information (CSI) at two transmitters and only delayed CSI at a multiple-antenna, full-duplex, and decode-and-forward relay. We aim at establishing the sum-SDoF lower and upper bounds. For the sum-SDoF lower bound, we design three relay-aided transmission schemes, namely, the relay-aided jamming scheme, the relay-aided jamming and one-receiver interference alignment scheme, and the relay-aided jamming and two-receiver interference alignment scheme, each corresponding to one case of antenna configurations. Moreover, the security and decoding of each scheme are analyzed. The sum-SDoF upper bound is proposed by means of the existing SDoF region of two-user MIMO broadcast channel with confidential messages (BCCM) and delayed channel state information at the transmitter (CSIT). As a result, the sum-SDoF lower and upper bounds are derived, and the sum-SDoF is characterized when the relay has sufficiently large antennas. Furthermore, even assuming no CSI at two transmitters, our results show that a multiple-antenna full-duplex relay with delayed CSI can elevate the sum-SDoF of the MIMO XCCM. This is corroborated by the fact that the derived sum-SDoF lower bound can be greater than the sum-SDoF of the MIMO XCCM with output feedback and delayed CSIT.
format	article
author	Tong Zhang Gaojie Chen Shuai Wang Rui Wang
author_facet	Tong Zhang Gaojie Chen Shuai Wang Rui Wang
author_sort	Tong Zhang
title	Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel
title_short	Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel
title_full	Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel
title_fullStr	Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel
title_full_unstemmed	Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel
title_sort	full-duplex relay with delayed csi elevates the sdof of the mimo x channel
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/fa81cf9389c943b39a14469284f71341
work_keys_str_mv	AT tongzhang fullduplexrelaywithdelayedcsielevatesthesdofofthemimoxchannel AT gaojiechen fullduplexrelaywithdelayedcsielevatesthesdofofthemimoxchannel AT shuaiwang fullduplexrelaywithdelayedcsielevatesthesdofofthemimoxchannel AT ruiwang fullduplexrelaywithdelayedcsielevatesthesdofofthemimoxchannel
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Full-Duplex Relay with Delayed CSI Elevates the SDoF of the MIMO X Channel

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