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可对角化的延迟-多普勒信道及其对角化波形

On Diagonalizable Delay-Doppler Channels and Their Diagonalizing Waveforms

Sirui Li, Cheng Du, Yu Zhu

arXiv 2608.30717首次发表:更新:

发表机构

Fudan University; Great Bay University(复旦大学; 东莞理工学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文针对双选择性信道的延迟-多普勒耦合问题,基于循环前缀块传输与正交调制波形,识别出可对角化的信道支撑集并推导闭式波形,为简化单抽头均衡提供了理论依据。

AI 中文摘要

在双选择性信道中,联合延迟与多普勒色散通常会导致发送符号间产生耦合,从而增加接收机均衡的复杂度。不过,通过使用适当设计的波形,具有特定延迟-多普勒(DD)支撑集的信道可被对角化,以实现单抽头均衡。除了文献中已识别的若干示例外,此类DD支撑集及其对应波形的整体情况仍不明确。本文中,在基于循环前缀(CP)的块传输下,并假设调制波形构成标准正交基,我们通过一个基本表达式识别了所有此类信道支撑集,并推导了对应的闭式波形。

英文摘要

In doubly selective channels, the joint delay and Doppler dispersion generally induces coupling among transmitted symbols, thereby increasing receiver equalization complexity. Nevertheless, by using appropriately designed waveforms, channels with certain delay-Doppler (DD) supports can be diagonalized for one-tap equalization. The whole picture of such DD supports and their corresponding waveforms is still unclear, except for several examples identified in literature. In this paper, under cyclic-prefix (CP)-based block transmission and assuming that the modulation waveforms form an orthonormal basis, we identify all such channel supports by an elementary expression, and derive the corresponding waveforms in closed form.

CommentsSubmitted to Information Theory Workshop (ITW) 2027

论文原文

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