Sinusoidal modeling is based on the decomposition of audio signals into a sum of sinusoidal components plus a noise residual part. It involves accurate sinusoid parameters estimation and, in particular, accurate frequency estimation. A broad category of methods uses the Fast Fourier Transform (FFT) as a starting point to compute frequency. All these methods present very similar forms of estimators, but the relations between them are not yet fully understood. This work proposes to take a deeper look into these relations. The first goal of this work is to present a clear review and description fo the classical FFT-based frequency estimator. A new estimator similar to the phase vocoder is presented. The second goal of this work is to identify the common hypotheses and the common steps of the process for this category of estimator. Lastly, experimental comparisons are given.
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