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M. Lagrange, and S. Marchand, "Estimating the Instantaneous Frequency of Sinusoidal Components Using Phase-Based Methods," J. Audio Eng. Soc., vol. 55, no. 5, pp. 385-399, (2007 May.). doi: M. Lagrange, and S. Marchand, "Estimating the Instantaneous Frequency of Sinusoidal Components Using Phase-Based Methods," J. Audio Eng. Soc., vol. 55 Issue 5 pp. 385-399, (2007 May.). doi:
Abstract: [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.

@article{lagrange2007estimating,
author={lagrange, mathieu and marchand, sylvain},
journal={journal of the audio engineering society},
title={estimating the instantaneous frequency of sinusoidal components using phase-based methods},
year={2007},
volume={55},
number={5},
pages={385-399},
doi={},
month={may},} @article{lagrange2007estimating,
author={lagrange, mathieu and marchand, sylvain},
journal={journal of the audio engineering society},
title={estimating the instantaneous frequency of sinusoidal components using phase-based methods},
year={2007},
volume={55},
number={5},
pages={385-399},
doi={},
month={may},
abstract={[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.},}

TY - paper
TI - Estimating the Instantaneous Frequency of Sinusoidal Components Using Phase-Based Methods
SP - 385 EP - 399
AU - Lagrange, Mathieu
AU - Marchand, Sylvain
PY - 2007
JO - Journal of the Audio Engineering Society
IS - 5
VO - 55
VL - 55
Y1 - May 2007 TY - paper
TI - Estimating the Instantaneous Frequency of Sinusoidal Components Using Phase-Based Methods
SP - 385 EP - 399
AU - Lagrange, Mathieu
AU - Marchand, Sylvain
PY - 2007
JO - Journal of the Audio Engineering Society
IS - 5
VO - 55
VL - 55
Y1 - May 2007
AB - [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.