Low-complexity Frequency Domain Equalization for filtered-AFDM over General Physical Channels
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| Format: | Preprint |
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2026
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| _version_ | 1866913018249478144 |
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| author | Shen, Cheng Zhang, Chenyang Yuan, Jinhong |
| author_facet | Shen, Cheng Zhang, Chenyang Yuan, Jinhong |
| contents | Affine frequency division multiplexing (AFDM) has emerged as a promising waveform for high-mobility communications. However, its equalization remains a practical challenge under general physical channels with off-grid delay and Doppler effects. In this paper, we investigate frequency domain equalization for AFDM by considering a practical filtered-AFDM waveform. We analyze the input-output relations of filtered-AFDM across various domains and show that off-grid effects lead to severe inter-symbol interference in the DAFT domain, limiting the effectiveness of DAFT domain equalization. Motivated by the compactness of the frequency domain channel matrix in wideband systems, we propose a low-complexity two-stage frequency domain equalization scheme. Numerical results demonstrate that the proposed approach achieves performance close to full-block LMMSE equalization with significantly reduced computational complexity, and offers clear advantages over time domain equalization in wideband scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07680 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Low-complexity Frequency Domain Equalization for filtered-AFDM over General Physical Channels Shen, Cheng Zhang, Chenyang Yuan, Jinhong Signal Processing Affine frequency division multiplexing (AFDM) has emerged as a promising waveform for high-mobility communications. However, its equalization remains a practical challenge under general physical channels with off-grid delay and Doppler effects. In this paper, we investigate frequency domain equalization for AFDM by considering a practical filtered-AFDM waveform. We analyze the input-output relations of filtered-AFDM across various domains and show that off-grid effects lead to severe inter-symbol interference in the DAFT domain, limiting the effectiveness of DAFT domain equalization. Motivated by the compactness of the frequency domain channel matrix in wideband systems, we propose a low-complexity two-stage frequency domain equalization scheme. Numerical results demonstrate that the proposed approach achieves performance close to full-block LMMSE equalization with significantly reduced computational complexity, and offers clear advantages over time domain equalization in wideband scenarios. |
| title | Low-complexity Frequency Domain Equalization for filtered-AFDM over General Physical Channels |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2604.07680 |