• DocumentCode
    1333686
  • Title

    Estimation of frequency, amplitude, and phase from the DFT of a time series

  • Author

    Quinn, Barry G.

  • Author_Institution
    Dept. of Math. & Comput. Sci., London Univ., UK
  • Volume
    45
  • Issue
    3
  • fYear
    1997
  • fDate
    3/1/1997 12:00:00 AM
  • Firstpage
    814
  • Lastpage
    817
  • Abstract
    In a previous paper, a frequency estimator using only three Fourier coefficients was introduced, which has asymptotic variance of order T-3. In this correspondence, a similar technique of Rife and Vincent (1970) is shown to have asymptotic variance of larger order. A new estimator is introduced that has asymptotic variance Less than 1.65 times the CRLB
  • Keywords
    amplitude estimation; discrete Fourier transforms; frequency estimation; phase estimation; signal processing; time series; DFT; Fourier coefficients; amplitude estimation; asymptotic variance; frequency estimation; phase estimation; time series; Amplitude estimation; Discrete Fourier transforms; Equations; Frequency estimation; Least squares approximation; Phase estimation;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.558515
  • Filename
    558515