Statistics and Music: Fitting a Local Harmonic Model to Musical Sound Signals (1998)
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BibTeX
@TECHREPORT{Irizarry98statisticsand,
author = {Rafael Angel Irizarry},
title = {Statistics and Music: Fitting a Local Harmonic Model to Musical Sound Signals},
institution = {},
year = {1998}
}
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Abstract
Statistical modeling and analysis have been applied to different music related fields. One of them is sound synthesis and analysis. Sound can be represented as a real-valued function of time. This function can be sampled at a small enough rate so that the resulting discrete version is almost as good as the continuous one. This permits one to study musical sounds as a discrete time series, an entity for whichmany statistical techniques are available. Physical modeling suggests that manymusical instruments' sounds are characterized bya harmonic and an additive noise signal. The noise is not something to get rid of rather it's an important part of the signal. In this research the interest is in separating these two elements of the sound. To do so a local harmonic model that tracks ch...
