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MODAL DECOMPOSITION OF MUSICAL INSTRUMENT SOUND VIA ALTERNATING DIRECTION METHOD OF MULTIPLIERS

Citation Author(s):
Yoshiki Masuyama, Tsubasa Kusano, Kohei Yatabe, Yasuhiro Oikawa
Submitted by:
Yoshiki Masuyama
Last updated:
29 December 2018 - 11:23pm
Document Type:
Poster
Document Year:
2018
Event:
Presenters:
Yoshiki Masuyama
Paper Code:
AASP-P9.10
 

For a musical instrument sound containing partials, or modes, the behavior of modes around the attack time is particularly important. However, accurately decomposing it around the attack time is not an easy task, especially when the onset is sharp. This is because spectra of the modes are peaky while the sharp onsets need a broad one. In this paper, an optimization-based method of modal decomposition is proposed to achieve accurate decomposition around the attack time. The proposed method is formulated as a constrained optimization problem to enforce the perfect reconstruction property which is important for accurate decomposition. For optimization, the alternating direction method of multipliers (ADMM) is utilized, where the update of variables is calculated in closed form. The proposed method realizes accurate modal decomposition in the simulation and real piano sounds.

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