Abstract
We propose in this paper the time-based receive transformation (TRT), which can be regarded as the time-based version of the decorrelation based receive transformation proposed in Wang (IEEE Wirel Commun Lett 3(3):305–308, 2014), to suppress the inter-block interference (IBI) in the faster-than-Nyquist (FTN) system. We show that TRT can completely eliminate the effect of IBI in the FTN system so that instead of compromising the performance, FTN with TRT can make the achievable rate reach the maximum rate of the FTN system while having acceptable delay and complexity.
References
Anderson, J. B., Rusek, F., & Öwall, V. (2013). Faster-than-Nyquist signaling. Proceedings of the IEEE, 101(8), 1817–1830.
Rusek, F., & Anderson, J. B. (2009). Constrained capacities for faster-than-Nyquist signaling’. IEEE Transactions on Information Theory, 55(2), 764–775.
Xiang, W., & Pietrobon, S. S. (2003). On the capacity and normalization of ISI channels. IEEE Transactions on Information Theory, 49(9), 2263–2268.
Grokop, L. H., & Tse, D. N. C. (2009). Diversity–multiplexing tradeoff in ISI channels. IEEE Transactions on Information Theory, 55(1), 109–135.
Wang, J. T. (2014). Decorrelation based receive transformation for MIMO system under multi-user co-channel interference. IEEE Wireless Communications Letters, 3(3), 305–308.
Wang, J. T. (2018). Interference-free criterion for interference-unaware receive transform in MIMO co-channel interference. IEEE Wireless Communications Letters, 7(2), 210–213.
Jiang, Y., Varanasi, M. K., & Li, J. (2011). Performance analysis of ZF and MMSE equalizers for MIMO systems: an in-depth study of the high SNR regime. IEEE Transactions on Information Theory, 57(4), 2008–2026.
Gesbert, D., Shafi, M., Shiu, D.-S., Smith, P. J., & Naguib, A. (2003). From theory to practice: an overview of MIMO space–time coded wireless systems. IEEE Journal on Selected Areas in Communications, 21(3), 281–302.
Wang, B. I., & Zhang, F. Z. (1992). Some inequalities for the eigenvalues of the product of positive semidefinite Hermitian matrices. Linear Algebra and its Applications, 160, 113–118.
Jindal, N., & Goldsmith, A. (2005). Dirty-paper coding versus TDMA for MIMO broadcast channels. IEEE Transactions on Information Theory, 51(5), 1783–1794.
Ganji, M., Zou, X., & Jafarkhani, H. (2020). On the capacity of faster than Nyquist signaling. IEEE Communications Letters, 24(6), 1197–1201.
Kim, Y. J. D., & Feng, Y. (2020). Capacity of multicarrier faster-than-Nyquist signaling. In: Proceedings of 2020 IEEE international symposium on information theory.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Wang, J.T. Faster-Than-Nyquist Signaling with Time-Based Receive Transformation. Wireless Pers Commun 118, 2445–2454 (2021). https://doi.org/10.1007/s11277-021-08134-7
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-021-08134-7