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Towards complex matrix decomposition of spectrograms based on the relative phase offsets of harmonic sounds
Abstract : In this paper we study the relative phase offsets between partials in the sustained part of harmonic sounds and investigate their suitability for complex matrix decomposition of spectrograms. We formally introduce this property in a sinusoidal model and visualise the phase relations of a musical instrument. A model of complex matrix decomposition in the time-frequency domain is derived and equations for the estimation of the model parameters are provided in the monophonic case. We illustrate the model with the analysis of a monophonic saxophone signal. The results suggest that the phase offset is able to capture inherent time-invariant phase properties of harmonic sounds and outline its potential use for complex matrix decomposition.
Cited literature [15 references]
https://hal.inria.fr/hal-00945295
Contributor : Roland Badeau <>
Submitted on : Thursday, May 15, 2014 - 6:23:18 PM
Last modification on : Wednesday, October 14, 2020 - 1:11:49 PM
Long-term archiving on: : Friday, August 15, 2014 - 10:37:38 AM
Contributor : Roland Badeau <>
Submitted on : Thursday, May 15, 2014 - 6:23:18 PM
Last modification on : Wednesday, October 14, 2020 - 1:11:49 PM
Long-term archiving on: : Friday, August 15, 2014 - 10:37:38 AM
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Kirchhoff-ICASSP2014.pdf
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