Degrees of Freedom of Holographic MIMO in Multi-user Near-field Channels

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Hauptverfasser: Chen, Houfeng, Yue, Shaohua, Di Renzo, Marco, Zhang, Hongliang
Format: Preprint
Veröffentlicht: 2024
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author Chen, Houfeng
Yue, Shaohua
Di Renzo, Marco
Zhang, Hongliang
author_facet Chen, Houfeng
Yue, Shaohua
Di Renzo, Marco
Zhang, Hongliang
contents Holographic multiple-input multiple-output (HMIMO) is an emerging technology for 6G communications, in which numerous antenna units are integrated in a limited space. As the HMIMO array aperture expands, the near-field region of the array is dramatically enlarged, resulting in more users being located in the near-field region. This creates new opportunities for wireless communications. In this context, the evaluation of the spatial degrees of freedom (DoF) of HMIMO multi-user systems in near-field channels is an open problem, as the analytical methods utilized for evaluating the DoF in far-field channels cannot be directly applied. In this paper, we propose a novel method to calculate the DoF of HMIMO in multi-user near-field channels. We first derive the DoF for a single user in the near field, and then extend the analysis to multi-user scenarios. In this latter scenario, we focus on the impact of spatial blocking between HMIMO users. The derived analytical framework reveals that the DoF of HMIMO in multi-user near-field channels is not in general given by the sum of the DoF of the HMIMO single-user setting because of spatial blocking. Simulation results demonstrate the effectiveness of the proposed method. In the considered case study, the number of DoF reduces by $21.2\%$ on average due to spatial blocking.
format Preprint
id arxiv_https___arxiv_org_abs_2410_05013
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Degrees of Freedom of Holographic MIMO in Multi-user Near-field Channels
Chen, Houfeng
Yue, Shaohua
Di Renzo, Marco
Zhang, Hongliang
Signal Processing
Holographic multiple-input multiple-output (HMIMO) is an emerging technology for 6G communications, in which numerous antenna units are integrated in a limited space. As the HMIMO array aperture expands, the near-field region of the array is dramatically enlarged, resulting in more users being located in the near-field region. This creates new opportunities for wireless communications. In this context, the evaluation of the spatial degrees of freedom (DoF) of HMIMO multi-user systems in near-field channels is an open problem, as the analytical methods utilized for evaluating the DoF in far-field channels cannot be directly applied. In this paper, we propose a novel method to calculate the DoF of HMIMO in multi-user near-field channels. We first derive the DoF for a single user in the near field, and then extend the analysis to multi-user scenarios. In this latter scenario, we focus on the impact of spatial blocking between HMIMO users. The derived analytical framework reveals that the DoF of HMIMO in multi-user near-field channels is not in general given by the sum of the DoF of the HMIMO single-user setting because of spatial blocking. Simulation results demonstrate the effectiveness of the proposed method. In the considered case study, the number of DoF reduces by $21.2\%$ on average due to spatial blocking.
title Degrees of Freedom of Holographic MIMO in Multi-user Near-field Channels
topic Signal Processing
url https://arxiv.org/abs/2410.05013