Near-Field Channel Estimation for XL-MIMO: A Deep Generative Model Guided by Side Information

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Main Authors: Jin, Zhenzhou, You, Li, Ng, Derrick Wing Kwan, Xia, Xiang-Gen, Gao, Xiqi
Format: Preprint
Published: 2025
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author Jin, Zhenzhou
You, Li
Ng, Derrick Wing Kwan
Xia, Xiang-Gen
Gao, Xiqi
author_facet Jin, Zhenzhou
You, Li
Ng, Derrick Wing Kwan
Xia, Xiang-Gen
Gao, Xiqi
contents This paper investigates the near-field (NF) channel estimation (CE) for extremely large-scale multiple-input multiple-output (XL-MIMO) systems. Considering the pronounced NF effects in XL-MIMO communications, we first establish a joint angle-distance (AD) domain-based spherical-wavefront physical channel model that captures the inherent sparsity of XL-MIMO channels. Leveraging the channel's sparsity in the joint AD domain, the CE is approached as a task of reconstructing sparse signals. Anchored in this framework, we first propose a compressed sensing algorithm to acquire a preliminary channel estimate. Harnessing the powerful implicit prior learning capability of generative artificial intelligence (GenAI), we further propose a GenAI-based approach to refine the estimated channel. Specifically, we introduce the preliminary estimated channel as side information, and derive the evidence lower bound (ELBO) of the log-marginal distribution of the target NF channel conditioned on the preliminary estimated channel, which serves as the optimization objective for the proposed generative diffusion model (GDM). Additionally, we introduce a more generalized version of the GDM, the non-Markovian GDM (NM-GDM), to accelerate the sampling process, achieving an approximately tenfold enhancement in sampling efficiency. Experimental results indicate that the proposed approach is capable of offering substantial performance gain in CE compared to existing benchmark schemes within NF XL-MIMO systems. Furthermore, our approach exhibits enhanced generalization capabilities in both the NF or far-field (FF) regions.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06900
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Near-Field Channel Estimation for XL-MIMO: A Deep Generative Model Guided by Side Information
Jin, Zhenzhou
You, Li
Ng, Derrick Wing Kwan
Xia, Xiang-Gen
Gao, Xiqi
Signal Processing
Information Theory
Machine Learning
This paper investigates the near-field (NF) channel estimation (CE) for extremely large-scale multiple-input multiple-output (XL-MIMO) systems. Considering the pronounced NF effects in XL-MIMO communications, we first establish a joint angle-distance (AD) domain-based spherical-wavefront physical channel model that captures the inherent sparsity of XL-MIMO channels. Leveraging the channel's sparsity in the joint AD domain, the CE is approached as a task of reconstructing sparse signals. Anchored in this framework, we first propose a compressed sensing algorithm to acquire a preliminary channel estimate. Harnessing the powerful implicit prior learning capability of generative artificial intelligence (GenAI), we further propose a GenAI-based approach to refine the estimated channel. Specifically, we introduce the preliminary estimated channel as side information, and derive the evidence lower bound (ELBO) of the log-marginal distribution of the target NF channel conditioned on the preliminary estimated channel, which serves as the optimization objective for the proposed generative diffusion model (GDM). Additionally, we introduce a more generalized version of the GDM, the non-Markovian GDM (NM-GDM), to accelerate the sampling process, achieving an approximately tenfold enhancement in sampling efficiency. Experimental results indicate that the proposed approach is capable of offering substantial performance gain in CE compared to existing benchmark schemes within NF XL-MIMO systems. Furthermore, our approach exhibits enhanced generalization capabilities in both the NF or far-field (FF) regions.
title Near-Field Channel Estimation for XL-MIMO: A Deep Generative Model Guided by Side Information
topic Signal Processing
Information Theory
Machine Learning
url https://arxiv.org/abs/2505.06900