Analysis of Cross-Domain Message Passing for OTFS Transmissions

Fuente: arXiv
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Auteurs principaux: Chong, Ruoxi, Li, Shuangyang, Wei, Zhiqiang, Matthaiou, Michail, Ng, Derrick Wing Kwan, Caire, Giuseppe
Format: Preprint
Publié: 2024
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author Chong, Ruoxi
Li, Shuangyang
Wei, Zhiqiang
Matthaiou, Michail
Ng, Derrick Wing Kwan
Caire, Giuseppe
author_facet Chong, Ruoxi
Li, Shuangyang
Wei, Zhiqiang
Matthaiou, Michail
Ng, Derrick Wing Kwan
Caire, Giuseppe
contents In this paper, we investigate the performance of the cross-domain iterative detection (CDID) framework with orthogonal time frequency space (OTFS) modulation, where two distinct CDID algorithms are presented. The proposed schemes estimate/detect the information symbols iteratively across the frequency domain and the delay-Doppler (DD) domain via passing either the a posteriori or extrinsic information. Building upon this framework, we investigate the error performance by considering the bias evolution and state evolution. Furthermore, we discuss their error performance in convergence and the DD domain error state lower bounds in each iteration. Specifically, we demonstrate that in convergence, the ultimate error performance of the CDID passing the a posteriori information can be characterized by two potential convergence points. In contrast, the ultimate error performance of the CDID passing the extrinsic information has only one convergence point, which, interestingly, aligns with the matched filter bound. Our numerical results confirm our analytical findings and unveil the promising error performance achieved by the proposed designs.
format Preprint
id arxiv_https___arxiv_org_abs_2410_00698
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Analysis of Cross-Domain Message Passing for OTFS Transmissions
Chong, Ruoxi
Li, Shuangyang
Wei, Zhiqiang
Matthaiou, Michail
Ng, Derrick Wing Kwan
Caire, Giuseppe
Information Theory
Signal Processing
In this paper, we investigate the performance of the cross-domain iterative detection (CDID) framework with orthogonal time frequency space (OTFS) modulation, where two distinct CDID algorithms are presented. The proposed schemes estimate/detect the information symbols iteratively across the frequency domain and the delay-Doppler (DD) domain via passing either the a posteriori or extrinsic information. Building upon this framework, we investigate the error performance by considering the bias evolution and state evolution. Furthermore, we discuss their error performance in convergence and the DD domain error state lower bounds in each iteration. Specifically, we demonstrate that in convergence, the ultimate error performance of the CDID passing the a posteriori information can be characterized by two potential convergence points. In contrast, the ultimate error performance of the CDID passing the extrinsic information has only one convergence point, which, interestingly, aligns with the matched filter bound. Our numerical results confirm our analytical findings and unveil the promising error performance achieved by the proposed designs.
title Analysis of Cross-Domain Message Passing for OTFS Transmissions
topic Information Theory
Signal Processing
url https://arxiv.org/abs/2410.00698