Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers

Yoshiki Masuyama; Tsubasa Kusano; Kohei Yatabe; Yasuhiro Oikawa

doi:10.1109/ICASSP.2018.8462350

Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers

Yoshiki Masuyama, Tsubasa Kusano, Kohei Yatabe, Yasuhiro Oikawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	631-635
Number of pages	5
Volume	2018-April
ISBN (Print)	9781538646588
DOIs	https://doi.org/10.1109/ICASSP.2018.8462350
Publication status	Published - 2018 Sep 10
Event	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Calgary, Canada Duration: 2018 Apr 15 → 2018 Apr 20

Other

Other	2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018
Country	Canada
City	Calgary
Period	18/4/15 → 18/4/20

Keywords

Causality
Constrained filtering
Fourier transform
Perfect reconstruction
Piano

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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10.1109/ICASSP.2018.8462350

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Masuyama, Y., Kusano, T., Yatabe, K., & Oikawa, Y. (2018). Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers. In 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings (Vol. 2018-April, pp. 631-635). [8462350] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2018.8462350

Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers. / Masuyama, Yoshiki; Kusano, Tsubasa; Yatabe, Kohei ; Oikawa, Yasuhiro.

2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Vol. 2018-April Institute of Electrical and Electronics Engineers Inc., 2018. p. 631-635 8462350.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Masuyama, Y, Kusano, T, Yatabe, K & Oikawa, Y 2018, Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers. in 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. vol. 2018-April, 8462350, Institute of Electrical and Electronics Engineers Inc., pp. 631-635, 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018, Calgary, Canada, 18/4/15. https://doi.org/10.1109/ICASSP.2018.8462350

Masuyama Y, Kusano T, Yatabe K , Oikawa Y. Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers. In 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Vol. 2018-April. Institute of Electrical and Electronics Engineers Inc. 2018. p. 631-635. 8462350 https://doi.org/10.1109/ICASSP.2018.8462350

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abstract = "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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Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers

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