Time-frequency filtering based on spectrogram zeros - ENS de Lyon - École normale supérieure de Lyon Access content directly
Preprints, Working Papers, ... Year :

Time-frequency filtering based on spectrogram zeros


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.
Fichier principal
Vignette du fichier
TFfiltfromzeros.pdf (1.26 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

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


  • HAL Id : ensl-01121522 , version 1


Patrick Flandrin. Time-frequency filtering based on spectrogram zeros. 2015. ⟨ensl-01121522⟩
796 View
1291 Download


Gmail Facebook Twitter LinkedIn More