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arXiv · 2602.04862

Capacity Bounds on Doppler OFDM Channels

Pablo Orellana·Zheng Li·Jean-Marc Kelif·Sheng Yang·Shlomo Shamai
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Abstract

Low Earth orbit (LEO) satellite systems experience significant Doppler effects due to high mobility. While Doppler shifts can be largely compensated, residual frequency uncertainty induces a structured form of channel uncertainty that can limit achievable rates. We model this effect using a block-fading channel of the form $ \mathbf{H} = \mathbf{F} + s \mathbf{G} $, where $s$ is an unknown scalar random parameter. We first study this model in a general $N\times N$ MIMO setting. For this channel, we derive achievable rate lower bounds based on explicit transmission schemes and capacity upper bounds using a duality approach. We study Gaussian signaling and propose a practical superposition scheme with subspace alignment (SN) and successive interference cancellation, where a coarse-layer stream serves as an implicit pilot for decoding refined-layer data. We characterize asymptotic capacity in the near-coherent and high-SNR regimes, and show via Doppler-OFDM simulations that the proposed SN scheme achieves near-optimal rates with low complexity.

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Pablo Orellana, Zheng Li, Jean-Marc Kelif, Sheng Yang, Shlomo Shamai. 2026-02-04. Capacity Bounds on Doppler OFDM Channels. https://arxiv.org/abs/2602.04862

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