Skip to Main content Skip to Navigation
Conference papers

On the linear relations connecting the components of the discrete Wigner distribution in the case of real-valued signals

Abstract : It was shown that information conveyed by the discrete Wigner distribution is highly redundant, linear relations connecting its time-frequency components. This means that every component of the discrete Wigner distribution can be expressed as a linear combination of the elements of a basis. This set of generators consists of particular time-frequency components of the distribution. However, up to now, this basis and the associated linear map that allows to entirely generate the representation have still not been characterized. This problem is addressed in the case of real-valued signals. Results are illustrated by means of computer simulations. Finally, some extensions are pointed out.
Document type :
Conference papers
Complete list of metadatas

https://hal-utt.archives-ouvertes.fr/hal-02356150
Contributor : Jean-Baptiste Vu Van <>
Submitted on : Friday, November 8, 2019 - 3:45:36 PM
Last modification on : Saturday, November 9, 2019 - 2:14:19 AM

Links full text

Identifiers

Collections

ROSAS | CNRS | UTT

Citation

Cédric Richard, Régis Lengellé. On the linear relations connecting the components of the discrete Wigner distribution in the case of real-valued signals. 2000 International Conference on Acoustics, Speech and Signal Processing, Jun 2000, Istanbul, Turkey. pp.85-88, ⟨10.1109/ICASSP.2000.861870⟩. ⟨hal-02356150⟩

Share

Metrics

Record views

35