Title: On-Grid Equivalence of Continuous-Time Doubly Selective Channels: A Revisit of Bello's Models Show Chinese title

Title: 连续时间双选择信道的网格等价性：对贝洛模型的再审视

Abstract: Significant studies on communications over doubly selective channels have utilized on-grid DD channel models, which are previously investigated in Bello's seminar paper in 1963. The DD grid is typically specified by the bandwidth and time duration of the transmission frames. However, the physical channels are determined by the propagation environments and they are typically off-grid. Hence, there is often a gap between an actual physical channel and the on-grid model. This paper revisits the on-grid modeling of practical physical channels. We study the associated on-grid DD-domain representations for continuous-time, doubly selective channels with off-grid delay and Doppler shifts, accounting for practical time/frequency-domain windowing at the transceivers. The universal models obtained are applicable under the mild assumption that the windows have finite supports, and they extend Bello's classical results to account for more general windows. We also discuss the features and implications of the equivalent on-grid models. Show Chinese abstract

Abstract: 对双选择信道通信的重要研究已经利用了基于网格的DD信道模型，这些模型之前在Bello 1963年的研讨会论文中进行了研究。 DD网格通常由传输帧的带宽和时间持续时间指定。 然而，物理信道由传播环境决定，它们通常是非网格的。 因此，实际物理信道和基于网格的模型之间通常存在差距。 本文重新研究了实际物理信道的基于网格建模。 我们研究了连续时间双选择信道在非网格延迟和多普勒偏移下的相关基于网格DD域表示，考虑了收发器处的实际时域/频域加窗。 获得的通用模型在窗口具有有限支持的温和假设下适用，并且它们扩展了Bello的经典结果以考虑更一般的窗口。 我们还讨论了等效基于网格模型的特征和含义。