Secure degrees of freedom for general MIMO interference channel under rank-deficiency

被引：0

作者：

Qiang W. ^{[1
]}

Yijia Z. ^{[1
]}

Tianjiao Z. ^{[1
]}

Wenqi Z. ^{[2
]}

Yue G. ^{[3
]}

Rahim T. ^{[3
]}

机构：

[1] School of Information and Communication Engineering, Beijing University of Posts and Telecommunications, Beijing

[2] School of Cyberspace Security, Beijing University of Posts and Telecommunications, Beijing

[3] The Institute for Communication Systems, University of Surrey

来源：

Journal of China Universities of Posts and Telecommunications | 2023年 / 30卷 / 03期

基金：

中国国家自然科学基金;

关键词：

confidential messages; interference channel; multiple-input multiple-output (MIMO); rank-deficient; secure degrees of freedom (SDoF);

D O I：

10.19682/j.cnki.1005-8885.2022.1026

中图分类号：

学科分类号：

摘要：

As a more trackable performance metric for secrecy capacity, the secure degrees of freedom (SDoF) are widely studied for most multiuser networks in the high signal to noise ratio (SNR) region. However, the SDoF for these networks under rank-deficiency and arbitrary antenna configurations have not yet been determined. In this paper, the SDoF of two-user general multiple-input multiple-output (MIMO) interference channel with confidential messages (ICCM) under rank-deficiency are derived. For the two-user rank-deficient MIMO ICCM, the model is generalized to fully asymmetric settings, where the transmitters and receivers are equipped with arbitrary antennas. The outer bound of SDoF is the union of three outer bounds that are based on the Fano’s inequality and the secrecy constraints, the secrecy penalty lemma and the role of a helper lemma, and the transmitters cooperation, respectively. The SDoF region is subdivided into five regions according to the number of transceivers antennas, and each region has an achievability scheme with designed null space transmission and alignment techniques. Numerical results indicate that the SDoF increase at first and then decrease as the rank of the channel matrix decreases. The SDoF improve by increasing the transmitting antenna or reducing receiving antenna, but the effect of the transmitting antenna is greater. © 2023, THE JOURNAL OF CHINA UNIVERSITIES OF POSTS AND TELECOMMUNICATIONS.

引用

页码：65 / 77

页数：12

共 28 条

[1]

Wyner A.D., The wire-tap channel, The Bell System Technical Journal, 54, 8, (1975)

[2]

Leung-Yan-Cheong S.K., Muti-User and Wiretap Channels including Feedback, (1976)

[3]

Liu R., Maric I., Spasojevic P., Et al., Discrete memoryless interference and broadcast channels with confidential messages: Secrecy rate regions, IEEE Transactions on Information Theory, 54, 6, pp. 2493-2507, (2008)

[4]

Nafea M., Yener A., A new multiple access wiretap channel model, Proceedings of the 2016 IEEE Information Theory Workshop (ITW’16), 2016, pp. 349-353, (2016)

[5]

Fan Y., Liao X., Gao Z., A power allocation scheme for physical layer security based on large-scale fading, Proceedings of the IEEE 26Th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC’15), 2015, pp. 640-644, (2015)

[6]

Fang H., Xu L., Wang X.B., Coordinated multiple-relays based physical-layer security improvement: A single-leader multiple-followers stackelberg game scheme, IEEE Transactions on Information Forensics and Security, 13, 1, pp. 197-209, (2018)

[7]

Shahriyer S., Badrudduza A., Masrur M., Et al., Secure wireless multicasting over generalized gamma fading channels, Proceedings of the 3Rd International Conference on Electrical, Computer & Telecommunication Engineering (ICECTE’19), 2019, pp. 221-224, (2019)

[8]

Etkin R.H., Tse D.N.C., Wang H., Gaussian interference channel capacity to within one bit, IEEE Transactions on Information Theory, 54, 12, pp. 5534-5562, (2008)

[9]

Wang C.W., Gou T.G., Jafar S.A., Subspace alignment chains and the degrees of freedom of the three-user MIMO interference channel, IEEE Transactions on Information Theory, 60, 5, pp. 2432-2479, (2014)

[10]

Jafar S.A., Degrees of Freedom in Distributed Mimocommunications

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