Modélisation Sinusoïdale des Sons Polyphoniques

Abstract : The aim of this thesis is to study a structured representation of polyphonic sounds. Some peaks are selected from successive short-time spectra. An algorithm called "partial tracking" links some of those peaks from frame to frame. This algorithm forms partials : quasi-sinusoidal oscillators with parameters evolving slowly and continuously with time. Several constraints of the analysis of polyphonic signals lead to a spectral representation with artefacts, i.e. some peaks may be corrupted or missing. The tracking of partials across this corrupted spectral representation requires new tracking methods that use characteristics of the sinusoidal model. The predictability of the evolutions of the parameters of the partials as well as the theoretical lack of high frequencies in these evolutions are exploited to propose new algorithms useful for our purposes. Several psychoacoustic cues may then be used to cluster partials like their common onset, their harmonic relation, and the correlated evolutions of their parameters. After this clustering process, some partials may be incomplete due to the presence of several acoustical entities in the same frequency band. These partials are then completed by a novel interpolation algorithm.
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Mathieu Lagrange. Modélisation Sinusoïdale des Sons Polyphoniques. Autre [cs.OH]. Université Sciences et Technologies - Bordeaux I, 2004. Français. ⟨tel-00009550⟩

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