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Méthodes à haute résolution pour l'estimation et le suivi de sinusoïdes modulées. Application aux signaux de musique

Abstract : In the field of speech and music signals analysis, the tonal part of a broad variety of sounds is often represented as a sum of sinusoids with slowly varying parameters. The Fourier transform remains a prominent tool for estimating the parameters of this model. This is due to its robustness and to the existence of fast algorithms. However, its spectral resolution is bounded. High Resolution (HR) methods are conversely not constrained by this limit, since they rely on a particular structure of the signal model. Nevertheless, they are seldom used in the field of audio signal processing, mainly because of their high computational cost. The reduction of this complexity is one of the major contributions of this thesis. To track the temporal variations of the parameters, fast subspace tracking algorithms (referred to as FAPI, YAST and SWASVD) and an adaptive version of the ESPRIT method are developed. Their application to audio signals is not straightforward : the number of sinusoidal components is unknown and the nature and the variety of these signals lead to specific difficulties. Preprocessings are developed to ensure the robustness of the HR analysis, and a new model order selection method is proposed. Lastly, a part of the document is devoted to the estimation of mixtures of complex exponentials modulated by polynomials, resulting from the presence of multiple poles. This study leads to the development of a generalized version of the ESPRIT method and to the statistical analysis of its performance.
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Contributor : Roland Badeau Connect in order to contact the contributor
Submitted on : Thursday, May 26, 2005 - 5:12:38 PM
Last modification on : Tuesday, March 8, 2022 - 5:46:03 PM
Long-term archiving on: : Friday, April 2, 2010 - 9:49:45 PM


  • HAL Id : tel-00009321, version 1



Roland Badeau. Méthodes à haute résolution pour l'estimation et le suivi de sinusoïdes modulées. Application aux signaux de musique. Traitement du signal et de l'image [eess.SP]. Télécom ParisTech, 2005. Français. ⟨tel-00009321⟩



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