An eigenvalue based carrier frequency offset estimator for OFDM systems

Abdel Aziz M Al-Bassiouni, Muhammad Ismail Muhammad, Weihua Zhuang

Research output: Contribution to journalArticle

10 Citations (Scopus)


Orthogonal frequency division multiplexing (OFDM) is sensitive to frequency synchronization errors. This letter proposes a novel data-aided carrier frequency offset (CFO) estimator. We show that the eigenvalues of the inter-carrier interference (ICI) coefficient matrix are the elements of a geometric series distributed on the unit circle of the complex plane. Then, we prove that estimating the CFO is equivalent to finding the eigenvalues of a two-dimensional ICI coefficient matrix. As a result, by transmitting the corresponding eigenvectors, an estimate of the CFO value can be found. In addition to its simplicity, the proposed estimator is proven to be a maximum likelihood estimator. Simulation results are presented to demonstrate the high accuracy of the proposed estimator in presence of channel noise and fading.

Original languageEnglish
Article number6523041
Pages (from-to)475-478
Number of pages4
JournalIEEE Wireless Communications Letters
Issue number5
Publication statusPublished - 2013
Externally publishedYes



  • carrier frequency offset estimation
  • frequency synchronization errors
  • Orthogonal frequency division multiplexing

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Physics and Astronomy (miscellaneous)
  • Electrical and Electronic Engineering

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