We consider in this paper Wigner type representations Wigτ depending on a parameter τ ∈ [0,1] as defined in [2]. We prove that the Cohen class can be characterized in terms of the convolution of such Wigτ with a tempered distribution. We introduce furthermore a class of “quadratic representations” Spτ based on the τ-Wigner, as an extension of the two window Spectrogram (see [2]). We give basic properties of Spτ as subclasses of the general Cohen class.
@article{1398,
title = {Generalized Spectrograms and $\tau$-Wigner Transforms},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1398}
}
Paolo, Boggiatto; Giuseppe, De Donno; Alessandro, Oliaro; Kien Cuong, Bui. Generalized Spectrograms and τ-Wigner Transforms. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1398/