An Entropy Based Method for Local Time-Adaptation of the Spectrogram

Details An Entropy Based Method for Local Time-Adaptation of the Spectrogram An Entropy Based Method for Local Time-Adaptation of the Spectrogram

2011-09-27

arxiv.org/abs/1109.6314v1

CMMR 2010, LNCS 6684, pp. 60-75, 2011

Computer Science

Sound

Scientific paper

We propose a method for automatic local time-adaptation of the spectrogram of audio signals: it is based on the decomposition of a signal within a Gabor multi-frame through the STFT operator. The sparsity of the analysis in every individual frame of the multi-frame is evaluated through the R\'enyi entropy measures: the best local resolution is determined minimizing the entropy values. The overall spectrogram of the signal we obtain thus provides local optimal resolution adaptively evolving over time. We give examples of the performance of our algorithm with an instrumental sound and a synthetic one, showing the improvement in spectrogram displaying obtained with an automatic adaptation of the resolution. The analysis operator is invertible, thus leading to a perfect reconstruction of the original signal through the analysis coefficients.

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