ESPRIT in Gabor Frames
This articles tackles the estimation of mode parameters in recorded sounds of resonant objects. High resolution methods such as the ESPRIT method have already proved to be of great use for this sort of purpose. However, these methods being model-sensitive, their application to real-life audio signals can lead to results that are not satisfactory enough for a consistent re-synthesis. This is especially the case when the computational cost makes it impossible to analyse the signal in totality, or when the signal presents a high number of components. Significant improvements have already been achieved by decomposing the signal into several sub-band filtered versions, and by applying the ESPRIT algorithm on each of the resulting signals. It is shown in this article that the ESPRIT algorithm can be efficiently applied on time-frequency representations of the signal obtained using Gabor frames. Numerical tests that highlight the advantages of such an approach are also detailed. In addition to the advantages offered by the sub-band approach, the solid Gabor frame formalism combined with the ESPRIT method allows a exible and sharp analysis on selected regions of the time-frequency plane, and leads to re-synthesis which are perceptually very close to the original sounds.
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