Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers
Modal Decomposition of Musical Instrument Sound Via Alternating Direction Method of Multipliers
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DOI：
10.1109/icassp.2018.8462350
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发表时间：
2018-09
期刊：
影响因子：
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通讯作者：
Yoshiki Masuyama;Tsubasa Kusano;K. Yatabe;Yasuhiro Oikawa
中科院分区：
文献类型：
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作者：
Yoshiki Masuyama;Tsubasa Kusano;K. Yatabe;Yasuhiro Oikawa
对于包含分音或模式的乐器声音，在起音时间附近的模式的行为特别重要。然而，在发作时间前后准确地分解它并不是一件容易的事，特别是当发作是尖锐的时候。这是因为模式的光谱是峰值的，而尖锐的开始需要一个宽的。本文提出了一种基于优化的模态分解方法，以实现在攻击时刻附近的精确分解。该方法被配制成一个约束优化问题，以执行完美的重建属性，这是重要的准确分解。对于优化，交替方向的乘法器（ADMM），其中变量的更新计算在封闭的形式。该方法实现了模拟和真实的钢琴声的精确模态分解。
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.