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 expectation-maximization algorithm, which aims at maximizin...

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Bibliographic Details
Main Authors: Badeau, R., Emiya, V., David, B.
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Contracts
Covariance matrix
Envelope detection
Expectation-maximization algorithms
Frequency estimation
Harmonic analysis
Maximum likelihood estimation
Recursive estimation
Signal processing algorithms
Space exploration
Spectral analysis
Telecommunications
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Summary: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.
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2009.4960273