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Robust Transmission Design for IRS-Aided MISO Network with Reflection Coefficient Mismatch

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Communications and Networking (ChinaCom 2021)

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Abstract

Intelligent reflection surface (IRS) has been recognized as a revolutionary technology to achieve spectrum and energy efficient wireless communications due to its capability to reconfigure the propagation channels. However, due to the limited cost and space of each reflection element, it is difficult to accurately adjust the reflection coefficients of the passive elements. In this paper, we propose a worst-case robust reflection coefficient design for an IRS-aided single-user multiple-input single-output (SU-MISO) system where one IRS is deployed to enhance the received signal quality. Based on the fact of imperfect adjustment of reflection coefficients, our goal is to minimize the transmission power subject to the signal-noise ratio (SNR) constraint on the receiver end and the unit-modulus constraints on the reflection coefficients. The resulting optimization problem is non-convex and in general hard to solve. To tackle this problem, we adopt the linear approximation and alternating optimization (AO) methods to convert the original optimization problem into a sequence of convex subproblems that could be efficiently solved. We then extend our work to a practical situation where only limited phase shifts at each element are available. Numerical results demonstrate the robustness of the transmission scheme and show that high resolution for phase shifts is not an essential condition to approach the ideal performance.

This work was supported in part by the National Natural Science Foundation of China under Grants 61901245, 62071275, 91938202, and 61871070, and the Natural Science Foundation of Shandong Province of China under Grant ZR2020MF139, and the Fundamental Research Funds of Shandong University under Grant 61170079614095.

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Authors and Affiliations

  1. School of Information Science and Engineering, Shandong University, Qingdao, China

    Ran Yang, Zheng Dong, Hongji Xu & Ju Liu

  2. National Key Laboratory of Science and Technology on Communications, University of Electronic Science and Technology of China, Chengdu, China

    Ran Yang & Ning Wei

Authors
  1. Ran Yang
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  2. Ning Wei
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  3. Zheng Dong
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  4. Hongji Xu
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  5. Ju Liu
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Corresponding author

Correspondence to Ran Yang .

Editor information

Editors and Affiliations

  1. Shanghai University, Shanghai, China

    Honghao Gao

  2. Fudan University, Shanghai, China

    Jun Wun

  3. Zhejiang University, Hangzhou, China

    Jianwei Yin

  4. Tsinghua University, Beijing, China

    Feifei Shen

  5. Xidian University, X'ian, China

    Yulong Shen

  6. Hangzhou Dianzi University, Hangzhou, China

    Jun Yu

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Yang, R., Wei, N., Dong, Z., Xu, H., Liu, J. (2022). Robust Transmission Design for IRS-Aided MISO Network with Reflection Coefficient Mismatch. In: Gao, H., Wun, J., Yin, J., Shen, F., Shen, Y., Yu, J. (eds) Communications and Networking. ChinaCom 2021. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 433. Springer, Cham. https://doi.org/10.1007/978-3-030-99200-2_12

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  • DOI: https://doi.org/10.1007/978-3-030-99200-2_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-99199-9

  • Online ISBN: 978-3-030-99200-2

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