HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Time-frequency filtering based on spectrogram zeros

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01121522
Contributor : Patrick Flandrin Connect in order to contact the contributor
Submitted on : Monday, March 2, 2015 - 9:14:45 AM
Last modification on : Wednesday, November 20, 2019 - 2:57:04 AM
Long-term archiving on: : Tuesday, June 2, 2015 - 9:31:47 AM

File

TFfiltfromzeros.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : ensl-01121522, version 1

Collections

Citation

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

Share

Metrics

Record views

718

Files downloads

1109