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Sinusoidal modeling relies on the decomposition of a given signal (continuous or discrete) into a set of sinusoidal components plus a residual signal. The sinusoidal parameters, namely the amplitude, frequency and phase, may vary upon time. Generally, the tracking of these parameters is performed via Short-Time Fourier Transform (STFT) analysis, providing in fine, for each sinusoidal component, estimates of the amplitude, frequency and phase for a considered time slot. The duration of the analysis time slots is chosen in order to guarantee that the signal under analysis is stationary enough to deliver useful data. If this requirement is not met, in particular if the frequency varies in the analysis slot, the phase estimation is biased. This paper introduces a method to estimate and to correct this bias as a function of the analysis parameters (window type and size) and of the frequency slope.
Author (s): Betser, Michaël;
Collen, Patrice;
Rault, Jean-Bernard;
Affiliation:
France Télécom R&D
(See document for exact affiliation information.)
AES Convention: 120
Paper Number:6766
Publication Date:
2006-05-06
Session subject:
Signal Processing; High Resolution Audio
DOI:
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Betser, Michaël; Collen, Patrice; Rault, Jean-Bernard; 2006; Accurate Phase Estimation for Chirp-like Signals [PDF]; France Télécom R&D; Paper 6766; Available from: https://aes.org/publications/elibrary-page/?id=13570
Betser, Michaël; Collen, Patrice; Rault, Jean-Bernard; Accurate Phase Estimation for Chirp-like Signals [PDF]; France Télécom R&D; Paper 6766; 2006 Available: https://aes.org/publications/elibrary-page/?id=13570
@inproceedings{Betser2006accurate,
title={{Accurate Phase Estimation for Chirp-like Signals}},
author={Betser, Michaël and Collen, Patrice and Rault, Jean-Bernard},
year={2006},
month={may},
booktitle={Journal of the Audio Engineering Society},
publisher={Paper 6766; AES Convention 120; May 2006},
number={6766},
organization={AES},
}
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