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 |
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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 | |
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 |
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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