Multi-Gabor Dictionaries for Audio Time-Frequency Analysis

Dörfler, Monika Wolfe, Patrick J.

To appear at Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA01), Mohonk Mountain Resort, NY, 21-24 October 2001


It is trivial to construct valid time-frequency dictionaries for Hilbert spaces, the difficulty lies rather in designing such dictionaries to efficiently yield a salient representation for the class of signals most likely to be encountered. Here we propose and formalise the concept of reduced multi-Gabor systems and show that they constitute a frame for L2 and other Hilbert spaces of interest. We then apply this concept, in the form of a multi-Gabor dictionary, to the atomic decomposition of music and speech signals observed in noise. Results indicate the potential of such a system to yield a salient representation of audio signals while at the same time reducing computational costs associated with the decomposition.

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