Generalized Spatial Modulation Aided Affine Frequency Division Multiplexing
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908544052232192 |
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| author | Sui, Zeping Liu, Zilong Musavian, Leila Yang, Lie-Liang Hanzo, Lajos |
| author_facet | Sui, Zeping Liu, Zilong Musavian, Leila Yang, Lie-Liang Hanzo, Lajos |
| contents | Generalized spatial modulation-aided affine frequency division multiplexing (GSM-AFDM) is conceived for reliable multiple-input multiple-output (MIMO) communications over doubly selective channels. \textcolor{black}{We commence by proposing several low-complexity detectors for large-scale GSM-AFDM systems to meet the diverse requirements of heterogeneous receiver designs in terms of detection complexity and reliability.} Specifically, we introduce the linear minimum mean square error (LMMSE) equalizer-based maximum likelihood detector (LMMSE-MLD). By exploiting the GSM properties, we then derive the LMMSE-based transmit-antenna activation pattern (TAP) check-based log-likelihood ratio detector (LMMSE-TC-LLRD). In addition, we propose a pair of new detectors, namely the greedy residual check detector (GRCD) and the reduced space check detector (RSCD). We also derive a bit error rate (BER) upper-bound by considering the MLD. \textcolor{black}{Our analytical results are also available for multiple-input multiple-output (MIMO)-AFDM, since MIMO-AFDM can be regarded as a special case of the proposed GSM-AFDM.} Our simulation results demonstrate that 1) the BER upper bound derived is tight for moderate to high signal-to-noise ratios (SNRs), \textcolor{black}{2) the proposed GSM-AFDM achieves lower BER than its conventional orthogonal frequency division multiplexing (OFDM), orthogonal time frequency space (OTFS) and AFDM counterparts. Specifically, at a BER of $10^{-4}$ and a velocity of $540$ km/h, the proposed GSM-AFDM is capable of attaining about $6$ dB SNR gain compared to GSM-OFDM,} and 3) the conceived detectors strike a compelling trade-off between the BER and complexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Spatial Modulation Aided Affine Frequency Division Multiplexing Sui, Zeping Liu, Zilong Musavian, Leila Yang, Lie-Liang Hanzo, Lajos Signal Processing Generalized spatial modulation-aided affine frequency division multiplexing (GSM-AFDM) is conceived for reliable multiple-input multiple-output (MIMO) communications over doubly selective channels. \textcolor{black}{We commence by proposing several low-complexity detectors for large-scale GSM-AFDM systems to meet the diverse requirements of heterogeneous receiver designs in terms of detection complexity and reliability.} Specifically, we introduce the linear minimum mean square error (LMMSE) equalizer-based maximum likelihood detector (LMMSE-MLD). By exploiting the GSM properties, we then derive the LMMSE-based transmit-antenna activation pattern (TAP) check-based log-likelihood ratio detector (LMMSE-TC-LLRD). In addition, we propose a pair of new detectors, namely the greedy residual check detector (GRCD) and the reduced space check detector (RSCD). We also derive a bit error rate (BER) upper-bound by considering the MLD. \textcolor{black}{Our analytical results are also available for multiple-input multiple-output (MIMO)-AFDM, since MIMO-AFDM can be regarded as a special case of the proposed GSM-AFDM.} Our simulation results demonstrate that 1) the BER upper bound derived is tight for moderate to high signal-to-noise ratios (SNRs), \textcolor{black}{2) the proposed GSM-AFDM achieves lower BER than its conventional orthogonal frequency division multiplexing (OFDM), orthogonal time frequency space (OTFS) and AFDM counterparts. Specifically, at a BER of $10^{-4}$ and a velocity of $540$ km/h, the proposed GSM-AFDM is capable of attaining about $6$ dB SNR gain compared to GSM-OFDM,} and 3) the conceived detectors strike a compelling trade-off between the BER and complexity. |
| title | Generalized Spatial Modulation Aided Affine Frequency Division Multiplexing |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2501.10865 |