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Recursive Flow: A Generative Framework for MIMO Channel E...
[Submitted on 22 Jan 2026 (v1), last revised 20 Aug 2026 (this v · 2026-01-22 · via math updates on arXiv.org

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Abstract:Channel estimation is a fundamental challenge in massive multiple-input multiple-output systems, where estimation accuracy governs the spectral efficiency and link reliability. In this work, we introduce Recursive Flow (RC-Flow), a novel solver that leverages pre-trained flow matching priors to robustly recover channel state information from noisy, under-determined measurements. Different from conventional open-loop generative models, our approach establishes a closed-loop refinement framework via a serial restart mechanism and anchored trajectory rectification. By synergizing flow-consistent prior directions with data-fidelity proximal projections, the proposed RC-Flow achieves robust channel reconstruction and delivers state-of-the-art performance across diverse noise levels, particularly in noise-dominated scenarios. The framework is further augmented by an adaptive dual-scheduling strategy, offering flexible management of the trade-off between convergence speed and reconstruction accuracy. Theoretically, we analyze the Jacobian spectral radius of the recursive operator to prove its global asymptotic stability. Numerical results demonstrate that RC-Flow reduces inference latency by two orders of magnitude while achieving a 2.7 dB performance gain in low signal-to-noise ratio regimes compared to the score-based baseline.

Submission history

From: Zehua Jiang [view email]
[v1] Thu, 22 Jan 2026 08:58:48 UTC (2,395 KB)
[v2] Fri, 23 Jan 2026 06:20:56 UTC (2,394 KB)
[v3] Thu, 20 Aug 2026 16:23:19 UTC (2,714 KB)