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Multi angle Time-frequency frames and applications to audio analysis - Part 1: theory and concepts

Auteurs : Holighaus, Nicki (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Time-frequency (or Gabor) frames are constructed from time- and frequency shifts of one (or several) basic analysis window and thus carry a very particular structure. On the other hand, due to their close relation to standard signal processing tools such as the short-time Fourier transform, but also local cosine bases or lapped transforms, in the past years time-frequency frames have increasingly been applied to solve problems in audio signal processing.
    In this course, we will introduce the basic concepts of time-frequency frames, keeping their connection to audio applications as a guide-line. We will show how standard mathematical tools such as the Walnut representations can be used to obtain convenient reconstruction methods and also generalizations such the non-stationary Gabor transform. Applications such as the realization of an invertible constant-Q transform will be presented. Finally, we will introduce the basic notions of transform domain modelling, in particular those based on sparsity and structured sparsity, and their applications to denoising, multilayer decomposition and declipping. (Slides in attachment).

    Codes MSC :
    42C15 - General harmonic expansions, frames

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 06/11/14
      Date de captation : 21/10/14
      Collection : Research talks
      Format : quicktime ; audio/x-aac
      Durée : 01:27:47
      Domaine : Analyse & Applications
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : http://videos.cirm-math.fr/2014-10-21_Holighaus.mp4

    Informations sur la rencontre

    Nom du congrès : Jean-Morlet Chair - Doctoral school: Computational harmonic analysis - with applications to signal and image processing / Chaire Jean-Morlet - Ecole doctorale : Analyse harmonique computationnelle - avec applications au traitement du signal et de l'image
    Organisteurs Congrès : Feichtinger, Hans G. ; Torrésani, Bruno ; Anthoine, Sandrine ; Chaux, Caroline ; Mélot, Clothilde
    Dates : 20/10/14 - 24/10/14
    Année de la rencontre : 2014
    URL Congrès : http://feichtingertorresani.weebly.com/i...

    Citation Data

    DOI : 10.24350/CIRM.V.18614603
    Cite this video as: Holighaus, Nicki (2014). Time-frequency frames and applications to audio analysis - Part 1: theory and concepts.CIRM .Audiovisual resource. doi:10.24350/CIRM.V.18614603
    URI : http://dx.doi.org/10.24350/CIRM.V.18614603