Unified Far-Field and Near-Field in Holographic MIMO: A Wavenumber-Domain Perspective
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911963616903168 |
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| author | Chen, Yuanbin Guo, Xufeng Zhou, Gui Jin, Shi Ng, Derrick Wing Kwan Wang, Zhaocheng |
| author_facet | Chen, Yuanbin Guo, Xufeng Zhou, Gui Jin, Shi Ng, Derrick Wing Kwan Wang, Zhaocheng |
| contents | This article conceives a unified representation for near-field and far-field holographic multiple-input multiple-output (HMIMO) channels, addressing a practical design dilemma: "Why does the angular-domain representation no longer function effectively?" To answer this question, we pivot from the angular domain to the wavenumber domain and present a succinct overview of its underlying philosophy. In re-examining the Fourier plane-wave series expansion that recasts spherical propagation waves into a series of plane waves represented by Fourier harmonics, we characterize the HMIMO channel employing these Fourier harmonics having different wavenumbers. This approach, referred to as the wavenumebr-domain representation, facilitates a unified view across the far-field and the near-field. Furthermore, the limitations of the DFT basis are demonstrated when identifying the sparsity inherent to the HMIMO channel, motivating the development of a wavenumber-domain basis as an alternative. We then present some preliminary applications of the proposed wavenumber-domain basis in signal processing across both the far-field and near-field, along with several prospects for future HMIMO system designs based on the wavenumber domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14815 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unified Far-Field and Near-Field in Holographic MIMO: A Wavenumber-Domain Perspective Chen, Yuanbin Guo, Xufeng Zhou, Gui Jin, Shi Ng, Derrick Wing Kwan Wang, Zhaocheng Information Theory Signal Processing This article conceives a unified representation for near-field and far-field holographic multiple-input multiple-output (HMIMO) channels, addressing a practical design dilemma: "Why does the angular-domain representation no longer function effectively?" To answer this question, we pivot from the angular domain to the wavenumber domain and present a succinct overview of its underlying philosophy. In re-examining the Fourier plane-wave series expansion that recasts spherical propagation waves into a series of plane waves represented by Fourier harmonics, we characterize the HMIMO channel employing these Fourier harmonics having different wavenumbers. This approach, referred to as the wavenumebr-domain representation, facilitates a unified view across the far-field and the near-field. Furthermore, the limitations of the DFT basis are demonstrated when identifying the sparsity inherent to the HMIMO channel, motivating the development of a wavenumber-domain basis as an alternative. We then present some preliminary applications of the proposed wavenumber-domain basis in signal processing across both the far-field and near-field, along with several prospects for future HMIMO system designs based on the wavenumber domain. |
| title | Unified Far-Field and Near-Field in Holographic MIMO: A Wavenumber-Domain Perspective |
| topic | Information Theory Signal Processing |
| url | https://arxiv.org/abs/2407.14815 |