Wireless Personal Communications

, Volume 96, Issue 3, pp 4661–4673 | Cite as

Carrier Frequency Recovery for Nyquist and Faster-than-Nyquist Signaling System

  • X. H. Liang
  • A. J. Liu
  • X. F. Pan
  • F. Chen
  • Q. S. Zhang


Proposed is a new estimator for the carrier frequency recovery in Nyquist and faster-than-Nyquist (FTN) signaling system. Considering the intentional inter-symbol interference caused by FTN, a discrete-time model for synchronization of FTN is built for the first time, which is different from the traditional model based on the Nyquist criterion. The discrete-time model is simplified assumed that the frequency offset is much smaller than the sampling rate and the shaping pulse is time-truncated adopted from the 3GPP standard. Furthermore, a novel frequency estimator with three discrete Fourier transform samples interpolation is proposed for FTN signaling over the additive white Gaussian noise channel. Comparing with the Cramer–Rao bound, numerical results show the performance of new frequency estimator in the transmission system with the Nyquist rate and beyond the Nyquist rate.


Frequency estimation Faster-than-Nyquist signaling Discrete Fourier transform (DFT) Interpolation 



The authors would like to thank all the anonymous reviewers for their constructive comments and suggestions which are helpful to improve the paper.


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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  • X. H. Liang
    • 1
  • A. J. Liu
    • 1
  • X. F. Pan
    • 1
  • F. Chen
    • 1
  • Q. S. Zhang
    • 1
  1. 1.Key Laboratory of Military Satellite Communications, College of Communications EngineeringPLAUSTNanjingChina

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