Sparse Recovery for Holographic MIMO Channels: Leveraging the Clustered Sparsity

Fuente: arXiv
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Auteurs principaux: Guo, Yuqing, Guo, Xufeng, Chen, Yuanbin, Wang, Ying
Format: Preprint
Publié: 2024
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author Guo, Yuqing
Guo, Xufeng
Chen, Yuanbin
Wang, Ying
author_facet Guo, Yuqing
Guo, Xufeng
Chen, Yuanbin
Wang, Ying
contents Envisioned as the next-generation transceiver technology, the holographic multiple-input-multiple-output (HMIMO) garners attention for its superior capabilities of fabricating electromagnetic (EM) waves. However, the densely packed antenna elements significantly increase the dimension of the HMIMO channel matrix, rendering traditional channel estimation methods inefficient. While the dimension curse can be relieved to avoid the proportional increase with the antenna density using the state-of-the-art wavenumber-domain sparse representation, the sparse recovery complexity remains tied to the order of non-zero elements in the sparse channel, which still considerably exceeds the number of scatterers. By modeling the inherent clustered sparsity using a Gaussian mixed model (GMM)-based von Mises-Fisher (vMF) distribution, the to-be-estimated channel characteristics can be compressed to the scatterer level. Upon the sparsity extraction, a novel wavenumber-domain expectation-maximization (WD-EM) algorithm is proposed to implement the cluster-by-cluster variational inference, thus significantly reducing the computational complexity. Simulation results verify the robustness of the proposed scheme across overheads and signal-to-noise ratio (SNR).
format Preprint
id arxiv_https___arxiv_org_abs_2406_02164
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Sparse Recovery for Holographic MIMO Channels: Leveraging the Clustered Sparsity
Guo, Yuqing
Guo, Xufeng
Chen, Yuanbin
Wang, Ying
Information Theory
Signal Processing
Envisioned as the next-generation transceiver technology, the holographic multiple-input-multiple-output (HMIMO) garners attention for its superior capabilities of fabricating electromagnetic (EM) waves. However, the densely packed antenna elements significantly increase the dimension of the HMIMO channel matrix, rendering traditional channel estimation methods inefficient. While the dimension curse can be relieved to avoid the proportional increase with the antenna density using the state-of-the-art wavenumber-domain sparse representation, the sparse recovery complexity remains tied to the order of non-zero elements in the sparse channel, which still considerably exceeds the number of scatterers. By modeling the inherent clustered sparsity using a Gaussian mixed model (GMM)-based von Mises-Fisher (vMF) distribution, the to-be-estimated channel characteristics can be compressed to the scatterer level. Upon the sparsity extraction, a novel wavenumber-domain expectation-maximization (WD-EM) algorithm is proposed to implement the cluster-by-cluster variational inference, thus significantly reducing the computational complexity. Simulation results verify the robustness of the proposed scheme across overheads and signal-to-noise ratio (SNR).
title Sparse Recovery for Holographic MIMO Channels: Leveraging the Clustered Sparsity
topic Information Theory
Signal Processing
url https://arxiv.org/abs/2406.02164