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%0 Journal Article
%A Liuni, Marco
%A Roebel, Axel
%A Matusiak, Ewa
%A Romito, Marco
%A Rodet, Xavier
%T Automatic Adaptation of the Time-Frequency Resolution for Sound Analysis and Re-Synthesis
%D 2013
%B IEEE Transactions on Audio, Speech, and Language Processing
%V 21
%N 5
%P 959-970
%F Liuni13a
%K automatic adaptivity
%K Gabor frames
%K sparsity
%K spectral processing
%X We present an algorithm for sound analysis and re-synthesis with local automatic adaptation of time-frequency resolution. The reconstruction formula we propose is highly efficient, and gives a good approximation of the original signal from analyses with different time-varying resolutions within complementary frequency bands: this is a typical case where perfect reconstruction cannot in general be achieved with fast algorithms, which provides an error to be minimized. We provide a theoretical upper bound for the reconstruction error of our method, and an example of automatic adaptive analysis and re- synthesis of a music sound.
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