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
fDate :
4/1/1993 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
