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Generalized approximate message passing equalization for multi-carrier faster-than-nyquist signaling

Generalized approximate message passing equalization for multi-carrier faster-than-nyquist signaling
Generalized approximate message passing equalization for multi-carrier faster-than-nyquist signaling
Multi-carrier faster-than-Nyquist (MFTN) signaling constitutes a promising spectrally efficient non-orthogonal physical layer waveform. In this correspondence, we propose a pair of appealingly low-complexity generalized approximated message passing (GAMP)-based frequency-domain (FD) equalization (FDE) algorithms for MFTN systems operating in multipath channels. To mitigate the ill-conditioning of the resultant equivalent channel matrix, we construct block circulant interference matrices by inserting a few cyclic postfixes, followed by truncating the duration of the inherent two-dimensional interferences. Based on the decomposition of the block circulant matrices, we develop a novel FD received signal model using the two-dimensional fast Fourier transform for mitigating the colored noise imposed by the non-orthogonal matched filter. Moreover, we derive a GAMP-based FDE algorithm and its refined version, where the latter relies on approximations for circumventing the emergence of the ill-conditioned matrices. Our simulation results demonstrate that, for a fixed spectral efficiency, MFTN signaling can significantly improve the bit error rate (BER) performance by jointly optimizing the time- and frequency-domain packing factors. Compared to its Nyquist-signaling counterpart, MFTN signaling employing the proposed refined GAMP equalizer achieves about 39% higher transmission rate at a negligible BER performance degradation.
Multi-carrier faster-than-Nyquist signaling, block circulant matrix with circulant blocks, frequency-domain equalization, generalized approximate message passing
0018-9545
Ma, Yunsi
bc16d1c9-b7b9-4147-a7de-55b053c4494c
Wu, Nan
bb566e51-c5b6-4cb0-867a-1ff87611c504
Zhang, Andrew
a84310e2-9c60-4090-8e91-e75381a81c38
Li, Bin
d673f6b4-8765-40fd-b912-42206b88941c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Ma, Yunsi
bc16d1c9-b7b9-4147-a7de-55b053c4494c
Wu, Nan
bb566e51-c5b6-4cb0-867a-1ff87611c504
Zhang, Andrew
a84310e2-9c60-4090-8e91-e75381a81c38
Li, Bin
d673f6b4-8765-40fd-b912-42206b88941c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Ma, Yunsi, Wu, Nan, Zhang, Andrew, Li, Bin and Hanzo, Lajos (2021) Generalized approximate message passing equalization for multi-carrier faster-than-nyquist signaling. IEEE Transactions on Vehicular Technology. (doi:10.1109/TVT.2021.3138866).

Record type: Article

Abstract

Multi-carrier faster-than-Nyquist (MFTN) signaling constitutes a promising spectrally efficient non-orthogonal physical layer waveform. In this correspondence, we propose a pair of appealingly low-complexity generalized approximated message passing (GAMP)-based frequency-domain (FD) equalization (FDE) algorithms for MFTN systems operating in multipath channels. To mitigate the ill-conditioning of the resultant equivalent channel matrix, we construct block circulant interference matrices by inserting a few cyclic postfixes, followed by truncating the duration of the inherent two-dimensional interferences. Based on the decomposition of the block circulant matrices, we develop a novel FD received signal model using the two-dimensional fast Fourier transform for mitigating the colored noise imposed by the non-orthogonal matched filter. Moreover, we derive a GAMP-based FDE algorithm and its refined version, where the latter relies on approximations for circumventing the emergence of the ill-conditioned matrices. Our simulation results demonstrate that, for a fixed spectral efficiency, MFTN signaling can significantly improve the bit error rate (BER) performance by jointly optimizing the time- and frequency-domain packing factors. Compared to its Nyquist-signaling counterpart, MFTN signaling employing the proposed refined GAMP equalizer achieves about 39% higher transmission rate at a negligible BER performance degradation.

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Accepted/In Press date: 22 December 2021
Published date: 28 December 2021
Keywords: Multi-carrier faster-than-Nyquist signaling, block circulant matrix with circulant blocks, frequency-domain equalization, generalized approximate message passing

Identifiers

Local EPrints ID: 453322
URI: http://eprints.soton.ac.uk/id/eprint/453322
ISSN: 0018-9545
PURE UUID: 0b2606d7-edcb-49fd-ac30-29858233425d
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

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Date deposited: 12 Jan 2022 17:45
Last modified: 18 Mar 2024 02:36

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Contributors

Author: Yunsi Ma
Author: Nan Wu
Author: Andrew Zhang
Author: Bin Li
Author: Lajos Hanzo ORCID iD

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