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Full-Duplex MIMO Relay-Assisted Interference Alignment Algorithm in K-user Interference Channels

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Abstract

In this paper, we investigate the transceiver design schemes for the full-duplex multiple-input multiple-output relay-assisted K-user single-input multiple-output interference channels. Firstly, we propose an iterative optimized reference vector for IA (IORV-IA) algorithm in the perfect channel state information (CSI) scenario. The proposed IORV-IA algorithm not only achieves the alignment of interference signals at each receiver, but also iteratively optimizes the IA reference vector by orthogonalizing the directions of the interference signals and the desired signal. With the optimized IA reference vector, the relay processing matrix and the receiving filter vectors are designed to further improve the system performance. Considering that the relay cannot obtain perfect CSIs in practice due to many factors, and the performance of the IA scheme is very sensitive to this error. Furthermore, we propose a robust transceiver design scheme based on mean square error (MSE) in the imperfect CSI scenario, which minimizes the sum of MSEs in the worst case through iteration. The proposed algorithms are evaluated in terms of the average sum rate and bit error rate performance and the simulation results show the advantages of the proposed algorithms over existing centralized IA and centralized zero-forcing algorithms.

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Notes

  1. \(\textbf{G}_r\) is introduced to show the expression of \(\beta\).

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Acknowledgements

This work was supported by Sichuan Science and Technology Program (No.2019YJ0230), the National Natural Science Foundation of China (No. 61461026) and the Project of the Science and Technology Department in Sichuan Province (Grant No. 2021ZYD0004).

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Author notes

  1. Li Hao and Kejun Jia contributed equally to this work.

Authors and Affiliations

  1. The Key Laboratory of Information Coding and Transmission, Southwest Jiaotong University, Chengdu, 610031, China

    Lijun Bai & Li Hao

  2. College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, 643002, China

    Lijun Bai

  3. School of Computer and Communication, Lanzhou University of Technology, Lanzhou, 730050, China

    Kejun Jia

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All authors contributed to the study conception and design, and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Li Hao.

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Bai, L., Hao, L. & Jia, K. Full-Duplex MIMO Relay-Assisted Interference Alignment Algorithm in K-user Interference Channels. Wireless Pers Commun 131, 13–37 (2023). https://doi.org/10.1007/s11277-023-10395-3

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