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Appl. Sci. 2016, 6(5), 127; doi:10.3390/app6050127

Full-Band Quasi-Harmonic Analysis and Synthesis of Musical Instrument Sounds with Adaptive Sinusoids

1
Sound and Music Computing Group, Institute for Systems and Computer Engineering, Technology and Science (INESC TEC), 4200-465 Porto, Portugal
2
Multimedia Informatics Lab, Department of Computer Science, University of Crete, 700-13 Heraklion, Greece
3
Signal Processing Laboratory, Institute of Computer Science, Foundation for Technology & Research-Hellas (FORTH), 700-13 Heraklion, Greece
*
Author to whom correspondence should be addressed.
Academic Editor: Vesa Valimaki
Received: 16 February 2016 / Revised: 18 April 2016 / Accepted: 19 April 2016 / Published: 2 May 2016
(This article belongs to the Special Issue Audio Signal Processing)
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Abstract

Sinusoids are widely used to represent the oscillatory modes of musical instrument sounds in both analysis and synthesis. However, musical instrument sounds feature transients and instrumental noise that are poorly modeled with quasi-stationary sinusoids, requiring spectral decomposition and further dedicated modeling. In this work, we propose a full-band representation that fits sinusoids across the entire spectrum. We use the extended adaptive Quasi-Harmonic Model (eaQHM) to iteratively estimate amplitude- and frequency-modulated (AM–FM) sinusoids able to capture challenging features such as sharp attacks, transients, and instrumental noise. We use the signal-to-reconstruction-error ratio (SRER) as the objective measure for the analysis and synthesis of 89 musical instrument sounds from different instrumental families. We compare against quasi-stationary sinusoids and exponentially damped sinusoids. First, we show that the SRER increases with adaptation in eaQHM. Then, we show that full-band modeling with eaQHM captures partials at the higher frequency end of the spectrum that are neglected by spectral decomposition. Finally, we demonstrate that a frame size equal to three periods of the fundamental frequency results in the highest SRER with AM–FM sinusoids from eaQHM. A listening test confirmed that the musical instrument sounds resynthesized from full-band analysis with eaQHM are virtually perceptually indistinguishable from the original recordings. View Full-Text
Keywords: musical instruments; analysis and synthesis; sinusoidal modeling; AM–FM sinusoids; adaptive modeling; nonstationary sinusoids; full-band modeling musical instruments; analysis and synthesis; sinusoidal modeling; AM–FM sinusoids; adaptive modeling; nonstationary sinusoids; full-band modeling
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Caetano, M.; Kafentzis, G.P.; Mouchtaris, A.; Stylianou, Y. Full-Band Quasi-Harmonic Analysis and Synthesis of Musical Instrument Sounds with Adaptive Sinusoids. Appl. Sci. 2016, 6, 127.

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