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Time-frequency filtering based on spectrogram zeros

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Abstract

For a proper choice of the analysis window, a short-time Fourier transform is known to be completely characterized by its zeros, which coincide with those of the associated spectrogram. A simplified representation of the time-frequency structure of a signal can therefore be given by the Delaunay triangulation attached to spectrogram zeros. In the case of multicomponent AM-FM signals embedded in white Gaussian noise, it turns out that each time-frequency domain attached to a given component can ve viewed as the union of adjacent Delaunay triangles whose edge length is an outlier as compared to the distribution in noise-only regions. Identifying such domains offers a new way of disentangling the different components in the time-frequency plane, as well as of reconstructing the corresponding waveforms.
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Dates and versions

ensl-01121522 , version 1 (02-03-2015)

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  • HAL Id : ensl-01121522 , version 1

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Patrick Flandrin. Time-frequency filtering based on spectrogram zeros. 2015. ⟨ensl-01121522⟩
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