Ircam - Centre Georges-Pompidou Equipe Analyse/Synthèse

Sinusoidal+Residual Models for Musical Sound Signals Analysis/Synthesis

Xavier Rodet

in Proc. of the Fourth Meeting on the FWO Research Society on Foundations of Music Research: Time-Frequency Techniques and Music, (Ghent, Belgique, Mars 1998)

Abstract

Sinusoidal+Residual analysis/synthesis models have been developed for music applications. They have been very successful and are already found in commercial and experimental tools used by musicians as well as researchers. In this paper, we present the principles of this now classical model. However, the standard version of the model suffers from limitations in various cases. We discuss some improvements of the standard method designed in order to overcome these difficulties. We then present and compare other analysis techniques which use Elementary Waveforms, i.e. waveforms localised both on the frequency and the time axis. In particular, the High Resolution Matching Pursuit algorithm is proposed as a potentially successful new direction of research.