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Expectation-maximization algorithm for multi-pitch estimation and separation of overlapping harmonic spectra

Roland Badeau 1 Valentin Emiya 2 Bertrand David 1
2 METISS - Speech and sound data modeling and processing
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
Abstract : This paper addresses the problem of multi-pitch estimation, which consists in estimating the fundamental frequencies of multiple harmonic sources, with possibly overlapping partials, from their mixture. The proposed approach is based on the expectation-maximization algorithm, which aims at maximizing the likelihood of the observed spectrum, by performing successive single-pitch and spectral envelope estimations. This algorithm is illustrated in the context of musical chord identification.
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Roland Badeau, Valentin Emiya, Bertrand David. Expectation-maximization algorithm for multi-pitch estimation and separation of overlapping harmonic spectra. IEEE International Conference on Acoustics, Speech and Signal Processing, Apr 2009, Taipei, Taiwan. ⟨10.1109/ICASSP.2009.4960273⟩. ⟨inria-00452607⟩

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