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[Engineering Report] The robust estimation of the frequency of some sinusoidal components is a major prerequisite for many applications, such as in sinusoidal sound modeling, where the estimation often has to be done with low complexity, on short-term spectra. Besides the estimators proposed in the literature, a class known as phase-based estimators is described. It is proven that five of these estimators are equivalent, at least in theory. In-depth practical experiments demonstrate that these estimators perform roughly similarly in practice, although small differences remain, differences that are most probably due to numerical properties of the mathematical operators used in their implementation.
Author (s): Lagrange, Mathieu;
Marchand, Sylvain;
Affiliation:
LaBRI (Computer Science Laboratory), CNRS—University of Bordeaux, Talence, France
(See document for exact affiliation information.)
Publication Date:
2007-05-06
DOI:
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Lagrange, Mathieu; Marchand, Sylvain; 2007; Estimating the Instantaneous Frequency of Sinusoidal Components Using Phase-Based Methods [PDF]; LaBRI (Computer Science Laboratory), CNRS—University of Bordeaux, Talence, France; Paper ; Available from: https://aes.org/publications/elibrary-page/?id=14165
Lagrange, Mathieu; Marchand, Sylvain; Estimating the Instantaneous Frequency of Sinusoidal Components Using Phase-Based Methods [PDF]; LaBRI (Computer Science Laboratory), CNRS—University of Bordeaux, Talence, France; Paper ; 2007 Available: https://aes.org/publications/elibrary-page/?id=14165
@article{Lagrange2007estimating,
title={{Estimating the Instantaneous Frequency of Sinusoidal Components Using Phase-Based Methods}},
author={Lagrange, Mathieu and Marchand, Sylvain},
year={2007},
month={may},
journal={Journal of the Audio Engineering Society},
volume={55},
number={5},
pages={385-399},
}
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