A Novel Cross-Domain Channel Estimation Scheme for OFDM

📅 2026-01-21
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🤖 AI Summary
This work addresses the severe degradation of channel estimation performance in OFDM systems under high-mobility scenarios by proposing a cross-domain channel estimation algorithm. The method first maps time–frequency pilot symbols into the delay–Doppler domain and employs two-dimensional warped convolution to obtain coarse channel parameters. Subsequently, it refines the estimate by solving a sparse signal recovery problem formulated as an ℓ₁-regularized least squares optimization in the time–frequency domain. The approach innovatively integrates the coarse delay–Doppler domain estimation with a sparse recovery framework and establishes a theoretical analysis based on the ambiguity function. Experimental results demonstrate that the proposed method significantly outperforms conventional schemes in high-mobility environments, achieving notably improved channel estimation accuracy.

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📝 Abstract
In this paper, we propose a novel cross-domain channel estimation (CDCE) algorithm for orthogonal frequency division multiplexing (OFDM) systems, leveraging the unique characteristics of the delay-Doppler (DD) domain channel. Specifically, the proposed algorithm transforms the time-frequency (TF) domain pilot sequence of OFDM into the DD domain and applies a two-dimensional (2D) twisted-convolution for acquiring a coarse estimation of the underlying channel delay and Doppler. Then, the OFDM channel estimation is formulated as a sparse signal recovery problem in the TF domain according to the dictionary derived based on the obtained delay and Doppler estimates. Furthermore, a low-complexity $\ell_1$-regularized least-square estimator is proposed to effectively solve this problem. Moreover, we further develop a performance analysis framework of the proposed scheme based on the ambiguity function (AF) of the adopted pilot sequence. Our numerical results demonstrate noticeable estimation performance improvement compared to conventional OFDM channel estimation methods, particularly in the presence of high channel mobility.
Problem

Research questions and friction points this paper is trying to address.

OFDM
channel estimation
high mobility
cross-domain
delay-Doppler
Innovation

Methods, ideas, or system contributions that make the work stand out.

cross-domain channel estimation
delay-Doppler domain
sparse signal recovery
twisted convolution
ambiguity function
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