%0 Conference Proceedings %T On the dimension of the discrete Wigner-Ville transform range space: application to time-frequency based detectors design %+ Laboratoire Modélisation et Sûreté des Systèmes (LM2S) %A Richard, Cédric %A Lengellé, Régis %< avec comité de lecture %B International Symposium on Time-Frequency and Time-Scale Analysis 1998 %C Pittsburgh, United States %I IEEE %3 Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis %P 5-8 %8 1998-10-09 %D 1998 %R 10.1109/TFSA.1998.721348 %Z Computer Science [cs]/Numerical Analysis [cs.NA]Conference papers %X The information conveyed by the discrete Wigner-Ville representations of real, complex or analytic signals is highly redundant, each time-frequency location being related to others via non-obvious relationships. In this paper, we demonstrate that there also exists a large amount of linear relationships between time-frequency samples. This implies that a whole discrete Wigner-Ville representation can be determined from linear combinations of some selected time-frequency locations. A simple example illustrates this property. Next, we design a linear detector that only exploits the information provided by these locations and that yields the same performance as linear receivers performing in the whole time-frequency domain. Finally, some potential implications of this property are briefly presented. %G English %L hal-02353913 %U https://utt.hal.science/hal-02353913 %~ CNRS %~ UNIV-TROYES %~ UTT %~ UTT-LIST3N %~ LM2S-UTT