Generalization of the derivative analysis method to non-stationary sinusoidal modeling
In the context of non-stationary sinusoidal modeling, this paper introduces the generalization of the derivative method (presented at the first DAFx edition) for the analysis stage. This new method is then compared to the reassignment method for the estimation of all the parameters of the model (phase, amplitude, frequency, amplitude modulation, and frequency modulation), and to the CramérRao bounds. It turns out that the new method is less biased, and thus outperforms the reassignment method in most cases for signalto-noise ratios greater than −10dB.