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arXiv · 2604.06041

Covering-radius and Collinearity- Minimizing Pilots for Channel Estimation in TDD Systems

Xu Zhu·Yi Zeng·Tiejun Li
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Abstract

This letter studies pilot design for orthogonal frequency-division multiplexing-based time-division duplex (TDD) systems under a sliding-window latest-slot recovery framework that jointly exploits delay-Doppler sparsity across recent slots. Under contiguous-subband and fairness constraints, this viewpoint naturally leads to a geometry-aware time-frequency joint pilot assignment. We show that effective patterns should balance grid coverage and redundant-collinearity suppression, with an additional symmetry-avoidance refinement when complete collinearity elimination is infeasible. Based on these principles, we formulate a mixed-integer construction method compatible with practical TDD allocation. Numerical results show that minimum-coverage-radius and collinearity-control (MCC) pattern improves both surrogate geometry metrics and latest-slot recovery performance.

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Xu Zhu, Yi Zeng, Tiejun Li. 2026-04-07. Covering-radius and Collinearity- Minimizing Pilots for Channel Estimation in TDD Systems. https://arxiv.org/abs/2604.06041

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