Cyclic Delay-Doppler Shift: A Simple Transmit Diversity Technique for Delay-Doppler Waveforms in Doubly Selective Channels
Abstract
Delay-Doppler waveform design has been considered as a promising solution to achieve reliable communication under high-mobility channels for the space-air-ground-integrated networks (SAGIN). In this paper, we introduce the cyclic delay-Doppler shift (CDDS) technique for delay-Doppler waveforms to extract transmit diversity in doubly selective channels. Two simple CDDS schemes, named time-domain CDDS (TD-CDDS) and modulation-domain CDDS (MD-CDDS), are proposed in the setting of multiple-input multiple-output (MIMO). We demonstrate the applications of CDDS on two representative delay-Doppler waveforms, namely orthogonal time frequency space (OTFS) and affine frequency division multiplexing (AFDM), by deriving their corresponding CDDS matrices. Furthermore, we prove theoretically and experimentally that CDDS can provide OTFS and AFDM with full transmit diversity gain on most occasions.
Keywords
Cite
@article{arxiv.2302.11179,
title = {Cyclic Delay-Doppler Shift: A Simple Transmit Diversity Technique for Delay-Doppler Waveforms in Doubly Selective Channels},
author = {Haoran Yin and Jiaojiao Xiong and Yu Zhou and Chi Zhang and Di Zhang and Xizhang Wei and Yanqun Tang},
journal= {arXiv preprint arXiv:2302.11179},
year = {2025}
}
Comments
We are requesting the withdrawal of this paper due to critical issues identified in the document. Specifically, in Section III of the paper, the expression in Equation (7) is ambiguous and leads to inconsistencies in the subsequent derivations and conclusions. As a result, this could potentially confuse readers and misguide further research. Significant changes are made to the documents