Resumen

PAOLO, BOGGIATTO; GIUSEPPE, DE DONNO; ALESSANDRO, OLIARO  y  CUONG, BUI KIEN. Generalized Spectrograms and t -Wigner Transforms. Cubo [online]. 2010, vol.12, n.3, pp. 171-186. ISSN 0719-0646.  doi: 10.4067/S0719-06462010000300011.

We consider in this paper Wigner type representations Wig_t depending on a parameter t ∈ [0,1] as defined in [2]. We prove that the Cohen class can be characterized in terms of the convolution of such Wig_t with a tempered distribution. We introduce furthermore a class of “quadratic representations” Sp^t based on the t-Wigner, as an extension of the two window Spectrogram (see [2]). We give basic properties of Sp^t as subclasses of the general Cohen class.

Palabras clave : Time-Frequency representation; t-Wigner distribution; generalized Spectrogram.