%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