Abstract

This paper discusses a method for multiple fundamental frequency (F0) tracking performed on a polyphonic mixture of musical instruments with dissimilar timbres recorded on a single monaural track. For each time frame, given a number of possible F0 candidates, F0 trajectories are extracted using an HMM-like method where observations are the input spectra and each F0 candidate is represented by one of the hidden states. The F0 trajectories are optimized according to a harmonic overlap score for each F0 candidate and a continuity score that is based on a distance between the F0 candidate’s harmonic amplitudes and frequencies calculated for all possible candidate pairs at successive adjacent frames. This step leads to the formation of note tracks. In a second step, instrument identification is performed on harmonic spectra associated with these note tracks to group similar timbres together. The method is demonstrated with an acoustic audio recording of a woodwind quintet. Applications include audio-to-MIDI conversion, instrument/voice separation, and automatic music transcription. F0 tracks can also be used as high level features for music information retrieval systems.

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