Estimation of the parameters of sinusoidal signal components and of associated perceptual musical interpretation effects

The estimation of the parameters of a sinusoidal signal is an old problem and has been extensively studied in the literature. We propose here to use a well known method ; the estimation of the parameters by using the Fast Fourier Transform (FFT) and by taking into account the mutual influence of a part of the frequential peaks. When we extract the sinusoidal part of the signal, we obtain a noise composed, in the best case, by the background noise and the instrumental noise. In this situation estimating the SNR can allow us to detect some interpretation effect