ISAC with Affine Frequency Division Multiplexing: An FMCW-Based Signal Processing Perspective

Fuente: arXiv
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Main Authors: Zhu, Jiajun, Tang, Yanqun, Yi, Cong, Yin, Haoran, Ni, Yuanhan, Liu, Fan, Wei, Zhiqiang, Arslan, Huseyin
Format: Preprint
Published: 2025
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author Zhu, Jiajun
Tang, Yanqun
Yi, Cong
Yin, Haoran
Ni, Yuanhan
Liu, Fan
Wei, Zhiqiang
Arslan, Huseyin
author_facet Zhu, Jiajun
Tang, Yanqun
Yi, Cong
Yin, Haoran
Ni, Yuanhan
Liu, Fan
Wei, Zhiqiang
Arslan, Huseyin
contents This paper investigates the sensing potential of affine frequency division multiplexing (AFDM) in high-mobility integrated sensing and communication (ISAC) from the perspective of radar waveforms. We introduce an innovative parameter selection criterion that establishes a precise mathematical equivalence between AFDM subcarriers and Nyquist-sampled frequency-modulated continuous-wave (FMCW). This connection not only provides a clear physical insight into AFDM's sensing mechanism but also enables a direct mapping from the DAFT index to delay-Doppler (DD) parameters of wireless channels. Building on this, we develop a novel input-output model in a DD-parameterized DAFT (DD-DAFT) domain for AFDM, which explicitly reveals the inherent DD coupling effect arising from the chirp-channel interaction. Subsequently, we design two matched-filtering sensing algorithms. The first is performed in the time-frequency domain with low complexity, while the second is operated in the DD-DAFT domain to precisely resolve the DD coupling. Simulations show that our algorithms achieve effective pilot-free sensing and demonstrate a fundamental trade-off between sensing performance, communication overhead, and computational complexity. The proposed AFDM outperforms classical AFDM and other variants in most scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2511_12308
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ISAC with Affine Frequency Division Multiplexing: An FMCW-Based Signal Processing Perspective
Zhu, Jiajun
Tang, Yanqun
Yi, Cong
Yin, Haoran
Ni, Yuanhan
Liu, Fan
Wei, Zhiqiang
Arslan, Huseyin
Signal Processing
This paper investigates the sensing potential of affine frequency division multiplexing (AFDM) in high-mobility integrated sensing and communication (ISAC) from the perspective of radar waveforms. We introduce an innovative parameter selection criterion that establishes a precise mathematical equivalence between AFDM subcarriers and Nyquist-sampled frequency-modulated continuous-wave (FMCW). This connection not only provides a clear physical insight into AFDM's sensing mechanism but also enables a direct mapping from the DAFT index to delay-Doppler (DD) parameters of wireless channels. Building on this, we develop a novel input-output model in a DD-parameterized DAFT (DD-DAFT) domain for AFDM, which explicitly reveals the inherent DD coupling effect arising from the chirp-channel interaction. Subsequently, we design two matched-filtering sensing algorithms. The first is performed in the time-frequency domain with low complexity, while the second is operated in the DD-DAFT domain to precisely resolve the DD coupling. Simulations show that our algorithms achieve effective pilot-free sensing and demonstrate a fundamental trade-off between sensing performance, communication overhead, and computational complexity. The proposed AFDM outperforms classical AFDM and other variants in most scenarios.
title ISAC with Affine Frequency Division Multiplexing: An FMCW-Based Signal Processing Perspective
topic Signal Processing
url https://arxiv.org/abs/2511.12308