Title :
Reply to “Comments on ‘Iterative Estimation of Sinusoidal Signal Parameters’”
Author :
Pantazis, Yannis ; Rosec, Olivier ; Stylianou, Yannis
Author_Institution :
Comput. Sci. Dept., Univ. of Crete, Heraklion, Greece
Abstract :
The method proposed in , referred to as iterative Quasi-Harmonic Model (iQHM), is an iterative frequency estimation technique. It is based on a linearized version of the frequency error between the true frequency and the initially provided frequency, while the estimation of its unknown parameters is performed by Least Squares (LS) method. In , a relationship between iQHM and Gauss-Newton (GN) method was presented. More specifically it was claimed that iQHM is actually equivalent to an approximate Gauss-Newton method (AGN). In this correspondence, we show that iQHM is actually equivalent to a sequential version of the GN method.
Keywords :
Newton method; frequency estimation; least squares approximations; signal processing; approximate Gauss-Newton method; iterative frequency estimation technique; iterative quasi-harmonic model; least squares method; sinusoidal signal parameters; Approximation algorithms; Frequency estimation; Least squares approximation; Mathematical model; Signal to noise ratio; Frequency estimation; Gauss–Newton method; iterative QHM;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2010.2082528