Statistical Modeling of Sound Aperiodicities
Shlomo Dubnov, Xavier Rodet · 1997
In this work we investigate aperiodicities that occur in the sustained portion of a sound due to phase synchronous versus unsynchronous deviations of the partials. By using an additive sinusoidal model, correlation statistics and phase coupling effects are considered for various instruments. The phase coupling is shown to be an important characteristic of musical instrument. These analyses are compared to results from Higher Order Statistical analysis and are shown to be equivalent. General applications for sound synthesis are discussed and a simulation of phase fluctuations in string instrument is presented. 1 Introduction Acoustical musical instruments which are considered to produce a well defined pitch, emit waveforms which are never exactly periodic. The aperiodicities supposedly originate in some not well known fundamental mechanism of their sound production. This effect, which for time scales shorter than 100 or 200 ms is beyond the control of the player, is expected to be typi...