A Low-Cost and Robust Maximum Likelihood Joint Estimator for the Doppler Spread and CFO Parameters over Flat-Fading Rayleigh Channels

Faouzi Bellili*, Yassine Selmi, Sofiene Affes, Ali Ghrayeb

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

This paper addresses the problem of Doppler spread and carrier frequency offset (CFO) estimation under flat-fading Rayleigh channels. We develop a new low-cost and robust approximate maximum likelihood (ML) estimator for these two key parameters that builds upon an elegant two-ray approximation model of the channel's covariance matrix. The latter is then inverted analytically thereby yielding a closed-form expression for the underlying log-likelihood function that is prone to easy evaluation by the fast Fourier transform. Computer simulations show that the new estimator is accurate over wide ranges of the Doppler spread and CFO parameters. Moreover, it outperforms many state-of-the-art techniques under the adverse conditions of short data records and/or low SNR thresholds. Most prominently, it exhibits an unprecedented robustness to the Doppler spectrum shape of the channel since it does not require its a priori knowledge.

Original languageEnglish
Article number7911290
Pages (from-to)3467-3478
Number of pages12
JournalIEEE Transactions on Communications
Volume65
Issue number8
DOIs
Publication statusPublished - Aug 2017
Externally publishedYes

Keywords

  • CFO estimation
  • Doppler spread estimation
  • Rayleigh channels
  • maximum likelihood

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