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

Masuyama, Yoshiaki; Kusano, Tsubasa; Yatabe, Kohei; Oikawa, Yasuhiro

doi:10.1109/icassp.2018.8462350

Cited by 2 publications

(2 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If a filter is causal, i.e., no component is generated before the onset of the original musical instrument sounds, there exists some phase delay which shifts the waveform. Considering an impulse response of causal filters h causal ðtÞ ¼ 0 for all time t < 0, it can be written as The preliminary version of this paper has appeared in conference proceedings [24], where the difference between [24] and this paper is as follows. In this paper, we show the theoretical limitation of conventional linear filtering in Sect.…”

Section: Potential Issues Of Linear Filteringmentioning

confidence: 99%

“…This study aims to realize accurate modal decomposition without phase delay and pre-ringing. Hence, the optimization-based method of modal decomposition is proposed to overcome the accuracy deficiency around the onset [24] 1 . The proposed modal decomposition is formulated as the minimization of the energy of the modes weighted in the frequency domain with the perfect reconstruction and causality constraints.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modal decomposition of musical instrument sounds via optimization-based non-linear filtering

Masuyama

Kusano

Yatabe

et al. 2019

Acoust. Sci. & Tech.

Self Cite

View full text Add to dashboard Cite

For musical instrument sounds containing partials, which are referred to as modes, the decaying processes of the modes significantly affect the timbre of musical instruments and characterize the sounds. However, their accurate decomposition around the onset is not an easy task, especially when the sounds have sharp onsets and contain the non-modal percussive components such as the attack. This is because the sharp onsets of modes comprise peaky but broad spectra, which makes it difficult to get rid of the attack component. In this paper, an optimization-based method of modal decomposition is proposed to overcome it. The proposed method is formulated as a constrained optimization problem to enforce the perfect reconstruction property which is important for accurate decomposition and causality of modes. Three numerical simulations and application to the real piano sounds confirm the performance of the proposed method.

show abstract

Section: Potential Issues Of Linear Filteringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%