Title :
Iterative Estimation of Sinusoidal Signal Parameters
Author :
Pantazis, Yannis ; Rosec, Olivier ; Stylianou, Yannis
Author_Institution :
Comput. Sci. Dept., Univ. of Crete & ICS-FORTH, Heraklion, Greece
fDate :
5/1/2010 12:00:00 AM
Abstract :
While the problem of estimating the amplitudes of sinusoidal components in signals, given an estimation of their frequencies, is linear and tractable, it is biased due to the unavoidable, in practice, errors in the estimation of frequencies. These errors are of great concern for processing signals with many sinusoidal like components as is the case of speech and audio. In this letter, we suggest using a time-varying sinusoidal representation which is able to iteratively correct frequency estimation errors. Then the corresponding amplitudes are computed through Least Squares. Experiments conducted on synthetic and speech signals show the suggested model´s effectiveness in correcting frequency estimation errors and robustness in additive noise conditions.
Keywords :
amplitude estimation; frequency estimation; least squares approximations; signal representation; additive noise; amplitude estimation; frequency estimation error; least squares; sinusoidal signal parameter estimation; speech signal; synthetic signal; time-varying sinusoidal representation; Amplitude estimation; estimation theory; frequency estimation; sinusoidal modeling; time-varying models;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2010.2043153