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

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 expectationmaximization 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.

• Type: Conference
• Year: 2009
• Where: ICASSP
• Authors: Roland Badeau, Valentin Emiya, Bertrand David
• Keywords: ICASSP 2009, Multiple Harmonic Sources, Musical Chord Identification, Signal Processing, Spectral Envelope Estimations