A Reduced Multiple Gabor Frame for Local Time Adaptation of the Spectrogram

Details A Reduced Multiple Gabor Frame for Local Time Adaptation of the Spectrogram A Reduced Multiple Gabor Frame for Local Time Adaptation of the Spectrogram

2011-09-27

arxiv.org/abs/1109.6313v1

Proc. of the 13th Int. Conference on Digital Audio Effects (DAFx-10), Graz, Austria , September 6-10, 2010

Computer Science

Sound

Scientific paper

In this paper we propose a method for automatic local time adap- tation of the spectrogram of an audio signal, based on its decomposition within a Gabor multi-frame. The sparsity of the analyses within each individual frame is evaluated through the R\'enyi entropies measures. According to the sparsity of the decompositions, an optimal resolution and a reduced multi-frame are determined, defining an adapted spectrogram with variable resolution and hop size. The composition of such a reduced multi-frame allows an immediate definition of a dual frame: re-synthesis techniques for this adapted analysis are easily derived by the traditional phase vocoder scheme.

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