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Audio Inpainting Using M-Frames

  • Classical short-time Fourier constructions lead to a signal decomposition with a fixed time-frequency resolution. However, having signals with varying features, such time-frequency decompositions are very restrictive. A more flexible and adaptive sampling of the time-frequency plane is achieved by the nonstationary Gabor transform. Here, the resolution can evolve over time or frequency, respectively, by using different windows for the different sampling positions in the time or frequency domain (Multiwindow-frames). This adaptivity in the time-frequency plane leads to a sparser signal representation. In terms of audio inpainting, i.e., filling in blanks of a depleted audio signal, sparsity in some representation space profoundly influences the quality of the reconstructed signal. We will compare this quality using different nonstationary Gabor transforms and the regular Gabor transform with different types of audio signals.

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Metadaten
Author:Florian Lieb
DOI:https://doi.org/10.1007/978-3-319-12577-0_77
ISBN:978-3-319-12576-3
Parent Title (English):Current Trends in Analysis and Its Applications
Publisher:Springer International Publishing
Document Type:Part of a Book
Language:English
Year of Completion:2013
Release Date:2015/03/18
Tag:Audio inpainting; Constant-Q transform; Convex optimization; ERBlet Transform; Nonstationary Gabor frames
GND Keyword:Mathematik; Aufsatzsammlung
Volume:2015
Page Number:9
First Page:705
Last Page:713
Urheberrecht:1
Institutes:Einrichtungen / ZeWiS
Licence (German):Keine Lizenz - es gilt das deutsche Urheberrecht
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