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Equipe Analyse/Synthèse
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Musical Sound Signals Analysis/Synthesis: Sinusoidal+Residual and
Elementary Waveform Models,
X. Rodet
to appear in Proceedings of the IEEE Time-Frequency and
Time-Scale Workshop (TFTS'97), University of Warwick, Coventry,
UK, 27th-29th August 1997.
Abstract
Several versions of 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 begin by presenting 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.