Generalized Spectrograms and t -Wigner Transforms

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.

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Bibliographic Details
Main Authors: PAOLO,BOGGIATTO, GIUSEPPE,DE DONNO, ALESSANDRO,OLIARO, CUONG,BUI KIEN
Format: Digital revista
Language:English
Published: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300011
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