• DocumentCode
    894685
  • Title

    Tekalp-Erdem estimator gives the LS estimate for Fourier phase and log-Fourier modulus

  • Author

    Roux, J. Le ; Solé, P. ; Tekalp, A. Murat ; Erdem, A. Tanju

  • Author_Institution
    CNRS, Nice Univ., Valbonne, France
  • Volume
    41
  • Issue
    4
  • fYear
    1993
  • fDate
    4/1/1993 12:00:00 AM
  • Firstpage
    1705
  • Lastpage
    1707
  • Abstract
    It is shown that the algorithm proposed by A.M. Tekalp and A.T. Erdem (1989) for Fourier phase reconstruction indeed gives the least-squares (LS) estimate of the phase. This is important because the Tekalp-Erdem estimator has a much simpler implementation than with some other approaches, because it only involves averaging in the log-spectrum domain. It is also shown that this estimator can be used to obtain the LS estimate of the log-Fourier modulus
  • Keywords
    Fourier analysis; estimation theory; least squares approximations; spectral analysis; Fourier phase reconstruction; LS estimate; Tekalp-Erdem estimator; log-Fourier modulus; log-spectrum domain; Equations; Fourier transforms; Frequency; Higher order statistics; Image reconstruction; Laboratories; Least squares approximation; Phase estimation; Phase measurement; Signal processing algorithms;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.212749
  • Filename
    212749