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Channel Estimation with Hierarchical Sparse Bayesian Learning for ODDM Systems

Jiasong Han, Xuehan Wang, Jingbo Tan, Jintao Wang, Yu Zhang, Hai Lin, Jinhong Yuan

arXiv 8 Feb 2026 · Econometrics

arXiv:2602.07769 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Orthogonal delay-Doppler division multiplexing (ODDM) is a promising modulation technique for reliable communications in high-mobility scenarios. However, the existing channel estimation frameworks for ODDM systems cannot achieve both high accuracy and low complexity simultaneously, due to the inherent coupling of delay and Doppler parameters. To address this problem, a two-dimensional (2D) hierarchical sparse Bayesian learning (HSBL) based channel estimation framework is proposed in this paper. Specifically, we address the inherent coupling between delay and Doppler dimensions in ODDM by developing a partially-decoupled 2D sparse signal recovery (SSR) formulation on a virtual sampling grid defined in the delay-Doppler (DD) domain. With the help of the partially-decoupled formulation, the proposed 2D HSBL framework first performs low-complexity coarse on-grid 2D sparse Bayesian learning (SBL) estimation to identify potential channel paths. Then, high-resolution fine grids are constructed around these regions, where an off-grid 2D SBL estimation is applied to achieve accurate channel estimation. Simulation results demonstrate that the proposed framework achieves performance superior to conventional off-grid 2D SBL with significantly reduced computational complexity.

Citation extraction

16
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in-text mentions
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distinct cited
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main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Wei, Zhiqiang and Yuan, Weijie and Li, Shuangyang and Yuan, Jinhong… (2022) Off-Grid Channel Estimation With Sparse Bayesian Learning for OTFS Systems self1.000113100%
2Wang, Xuehan and Wang, Jintao and Yuan, Jinhong (2025) Low-complexity Channel Estimation and Orthogonal Precoding for Downlink Delay-Doppler Domain Multiple Access self0.92843100%
3Raviteja, P. and Phan, Khoa T. and Hong, Yi (2019) Embedded Pilot-Aided Channel Estimation for OTFS in Delay–Doppler Channels0.92843100%
4Lin, Hai and Yuan, Jinhong (2022) Orthogonal Delay-Doppler Division Multiplexing Modulation self0.64422100%
5Lin, Hai (2025) A Primer on Orthogonal Delay-Doppler Division Multiplexing (ODDM) self0.64422100%
6Tong, Jun and Yuan, Jinhong and Lin, Hai and Xi, Jiangtao (2024) Orthogonal Delay-Doppler Division Multiplexing (ODDM) Over General Physical Channels self0.64422100%
7Hadani, R. and Rakib, S. and Tsatsanis, M. and Monk, A. and Goldsmit… (2017) Orthogonal Time Frequency Space Modulation0.64422100%
8You, Kangyong and Guo, Wenbin and Liu, Yueliang and Wang, Wenbo and… (2018) Grid Evolution: Joint Dictionary Learning and Sparse Bayesian Recovery for Multiple Off-Grid Targets Localization0.51121100%
9Wei, Zhiqiang and Yuan, Weijie and Lit, Shuangyang and Yuant, Jinhon… (2021) A New Off-grid Channel Estimation Method with Sparse Bayesian Learning for OTFS Systems0.51121100%
103GPP (2009) Physical channels and mapping of transport channels onto physical channels (TDD)0.40511100%

Showing the top 10 of 16 scored citations.