期刊
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
卷 71, 期 3, 页码 3309-3314出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TVT.2021.3138866
关键词
Receivers; Complexity theory; Time-frequency analysis; Bit error rate; Approximation algorithms; Equalizers; Colored noise; Block circulant matrix with circulant blocks; frequency-domain equalization; generalized approximate message passing; multi-carrier faster-than-Nyquist signaling
资金
- Engineering and Physical Sciences Research Council [EP/P034284/1, EP/P003990/1]
- European Research Council [789028]
- National Natural Science Foundation of China [61971041, 62001027]
This paper proposes a low-complexity generalized approximate message passing (GAMP)-based frequency-domain equalization (FDE) algorithm for MFTN systems operating in multipath channels. By constructing block circulant interference matrices and utilizing the two-dimensional fast Fourier transform, the ill-condition of the equivalent channel matrix can be mitigated. Joint optimization of time- and frequency-domain packing factors can significantly improve the performance of MFTN 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 low-complexity generalized approximate message passing (GAMP)-based frequency-domain equalization (FDE) algorithms for MFTN systems operating in multipath channels. To mitigate the ill-condition 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 frequency-domain 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, our proposed MFTN systems employing the refined GAMP equalizer can achieve about 39% higher transmission rates at a negligible BER performance degradation.
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