Linear and Numerical SDoF Bounds of Active RIS-Assisted MIMO Wiretap Interference Channel
The multiple-input multiple-output (MIMO) wiretap interference channel (IC) serves as a canonical model for information-theoretic security, where a multiple-antenna eavesdropper attempts to intercept communications in a two-user MIMO IC system. The secure degrees-of-freedom (SDoF) of an active recon...
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2025-01-01
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| Series: | IEEE Open Journal of the Communications Society |
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| Online Access: | https://ieeexplore.ieee.org/document/11048657/ |
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| author | Linfan Su Yuhang Miao Yuxuan Song Shuo Zheng Tong Zhang Yinfei Xu Shuai Wang Na Li |
| author_facet | Linfan Su Yuhang Miao Yuxuan Song Shuo Zheng Tong Zhang Yinfei Xu Shuai Wang Na Li |
| author_sort | Linfan Su |
| collection | DOAJ |
| description | The multiple-input multiple-output (MIMO) wiretap interference channel (IC) serves as a canonical model for information-theoretic security, where a multiple-antenna eavesdropper attempts to intercept communications in a two-user MIMO IC system. The secure degrees-of-freedom (SDoF) of an active reconfigurable intelligent surface (RIS)-assisted MIMO wiretap IC is with practical interests but remains unexplored. In this paper, we establish both sum-SDoF lower and upper bounds through linear beamforming conditions and numerical methods. Specifically, our proposed lower bound is derived from transmission scheme design and corresponding solutions to the sum-SDoF maximization problem, formulated by linear integer programming. The solutions to this optimization problem addresses RIS element allocation for leakage and interference cancellation. The proposed upper bound is obtained by solving a nuclear norm minimization problem, leveraging the fact that nuclear norm serves as a convex relaxation of the rank function. For symmetry antenna configurations, we derive a closed-form lower bound. Extensive numerical simulations show that our proposed lower and upper bounds coincide across many antenna configurations, and our proposed lower bound outperforms the existing benchmark. |
| format | Article |
| id | doaj-art-8a5d5664b02c44ca8b3154b0b8146fa9 |
| institution | Kabale University |
| issn | 2644-125X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of the Communications Society |
| spelling | doaj-art-8a5d5664b02c44ca8b3154b0b8146fa92025-08-20T03:27:56ZengIEEEIEEE Open Journal of the Communications Society2644-125X2025-01-0165599561010.1109/OJCOMS.2025.358240411048657Linear and Numerical SDoF Bounds of Active RIS-Assisted MIMO Wiretap Interference ChannelLinfan Su0Yuhang Miao1Yuxuan Song2https://orcid.org/0009-0003-4209-7285Shuo Zheng3https://orcid.org/0000-0003-2982-2094Tong Zhang4https://orcid.org/0000-0002-6770-0664Yinfei Xu5https://orcid.org/0000-0003-3191-6903Shuai Wang6https://orcid.org/0000-0002-0288-4212Na Li7https://orcid.org/0000-0001-7966-3568National Engineering Research Center for Mobile Network Technologies, Beijing University of Posts and Telecommunications, Beijing, ChinaGuangdong Provincial Key Laboratory of Aerospace Communication and Networking Technology, Harbin Institute of Technology, Shenzhen, ChinaGuangdong Provincial Key Laboratory of Aerospace Communication and Networking Technology, Harbin Institute of Technology, Shenzhen, ChinaDepartment of Electrical and Electronic Engineering, The Hong Kong Polytechnic University, Hong Kong, SAR, ChinaGuangdong Provincial Key Laboratory of Aerospace Communication and Networking Technology, Harbin Institute of Technology, Shenzhen, ChinaSchool of Information Science and Engineering, Southeast University, Nanjing, ChinaShenzhen Institutes of Advanced Technology, Chinese Academy of Sciences (Shenzhen), Shenzhen, ChinaNational Engineering Research Center for Mobile Network Technologies, Beijing University of Posts and Telecommunications, Beijing, ChinaThe multiple-input multiple-output (MIMO) wiretap interference channel (IC) serves as a canonical model for information-theoretic security, where a multiple-antenna eavesdropper attempts to intercept communications in a two-user MIMO IC system. The secure degrees-of-freedom (SDoF) of an active reconfigurable intelligent surface (RIS)-assisted MIMO wiretap IC is with practical interests but remains unexplored. In this paper, we establish both sum-SDoF lower and upper bounds through linear beamforming conditions and numerical methods. Specifically, our proposed lower bound is derived from transmission scheme design and corresponding solutions to the sum-SDoF maximization problem, formulated by linear integer programming. The solutions to this optimization problem addresses RIS element allocation for leakage and interference cancellation. The proposed upper bound is obtained by solving a nuclear norm minimization problem, leveraging the fact that nuclear norm serves as a convex relaxation of the rank function. For symmetry antenna configurations, we derive a closed-form lower bound. Extensive numerical simulations show that our proposed lower and upper bounds coincide across many antenna configurations, and our proposed lower bound outperforms the existing benchmark.https://ieeexplore.ieee.org/document/11048657/Active RISlinear beamformingsum-SDoFMIMO wiretap IC |
| spellingShingle | Linfan Su Yuhang Miao Yuxuan Song Shuo Zheng Tong Zhang Yinfei Xu Shuai Wang Na Li Linear and Numerical SDoF Bounds of Active RIS-Assisted MIMO Wiretap Interference Channel IEEE Open Journal of the Communications Society Active RIS linear beamforming sum-SDoF MIMO wiretap IC |
| title | Linear and Numerical SDoF Bounds of Active RIS-Assisted MIMO Wiretap Interference Channel |
| title_full | Linear and Numerical SDoF Bounds of Active RIS-Assisted MIMO Wiretap Interference Channel |
| title_fullStr | Linear and Numerical SDoF Bounds of Active RIS-Assisted MIMO Wiretap Interference Channel |
| title_full_unstemmed | Linear and Numerical SDoF Bounds of Active RIS-Assisted MIMO Wiretap Interference Channel |
| title_short | Linear and Numerical SDoF Bounds of Active RIS-Assisted MIMO Wiretap Interference Channel |
| title_sort | linear and numerical sdof bounds of active ris assisted mimo wiretap interference channel |
| topic | Active RIS linear beamforming sum-SDoF MIMO wiretap IC |
| url | https://ieeexplore.ieee.org/document/11048657/ |
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