基于变分贝叶斯推断的近场双重稀疏信道估计与多用户检测
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东华大学信息与智能科学学院,上海 201620

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上海市基础研究计划“自然科学基金”项目 25ZR1401002上海市基础研究计划“自然科学基金”项目(25ZR1401002)。


Near-Field Doubly-Sparse Channel Estimation and Multi-user Detection Based on Variational Bayesian Inference
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School of Information and Intelligent Science, Donghua University, Shanghai 201620, China

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Natural Science Foundation of Shanghai Basic Research Funding 25ZR1401002Natural Science Foundation of Shanghai Basic Research Funding (No.25ZR1401002).

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    摘要:

    面向6G的超大规模多输入多输出(Extremely large-scale multiple-input multiple-output, XL-MIMO)通信系统,其近场效应使得传统基于远场平面波前模型的信道估计方法面临性能瓶颈。现有近场方案多依赖存在建模误差的菲涅尔近似,且普遍将信道估计与多用户激活检测分步处理,导致误差累积。为应对上述挑战,本文提出一种基于精确近场球面波信道模型的信道估计与多用户激活检测框架。该框架创新性地联合利用了XL-MIMO信道在极域与用户域的双重稀疏性,通过引入独立向量变分贝叶斯推断技术,将高维耦合的稀疏恢复问题解耦为各用户独立的稀疏恢复问题,从而实现了近场阵列流型与多用户导频的有效分离,额外引入的离网参数更新策略进一步规避了网格失配问题。仿真结果验证了所提方法在信道估计精度及用户激活检测性能方面的有效性与优越性。

    Abstract:

    For extremely large-scale multiple-input multiple-output (XL-MIMO) enabled 6G communication systems, the near-field effect poses performance limitations for traditional channel estimation methods based on far-field plane wavefront models. Existing near-field schemes predominantly rely on the Fresnel approximation, which introduces modeling errors, and generally handle channel estimation and multi-user activation detection in separate steps, leading to error accumulation. To address these challenges, this paper proposes a joint near-field channel estimation and multi-user activation detection framework based on an accurate spherical wave channel model. Different from approximation-based near-field schemes, the proposed framework directly characterizes the near-field array manifold without relying on Fresnel approximation, thereby avoiding model mismatch. Furthermore, the proposed method jointly exploits the double sparsity of XL-MIMO channels in both the polar domain and the user domain. Specifically, the polar domain sparsity arises from the limited number of effective propagation paths described by angle and distance parameters, while the user domain sparsity comes from the fact that only a small subset of users is active during a given transmission interval. By leveraging these two types of sparsity simultaneously, the original high-dimensional coupled estimation problem can be transformed into a more structured sparse recovery problem. Moreover, an independent-vector variational Bayesian inference (VBI) technique is introduced to efficiently decouple the complicated joint estimation task into multiple user-wise sparse recovery subproblems. This strategy enables effective separation between the near-field array manifold and multi-user pilot signals, thereby substantially reducing computational complexity while preserving estimation accuracy. In addition, an off-grid parameter update strategy is incorporated to refine the predefined angular and distance grids. By iteratively updating the off-grid parameters, the proposed method alleviates grid mismatch and improves the accuracy of near-field channel reconstruction. Simulation results demonstrate that the proposed method outperforms existing methods in terms of channel estimation accuracy and user activity detection reliability. Under different signal-to-noise ratios, antenna numbers, snapshot lengths, and active user numbers, the proposed algorithm consistently obtains lower normalized mean square error and higher user activity detection success rate. These results verify the effectiveness, robustness, and superiority of the proposed framework. Therefore, the proposed method provides an efficient and accurate solution for near-field XL-MIMO channel acquisition and grant-free massive access in future 6G wireless communication systems.

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王姣姣,戴继生.基于变分贝叶斯推断的近场双重稀疏信道估计与多用户检测[J].数据采集与处理,2026,(5):1409-1420

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  • 收稿日期:2025-02-24
  • 最后修改日期:2025-10-15
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  • 在线发布日期: 2026-10-14