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  • Cubo: A Mathematical Journal
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Generalized spectrograms and τ-Wigner transforms

Author
Paolo, Boggiatto

Giuseppe, De Donno

Alessandro, Oliaro

Kien Cuong, Bui

Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1398
10.4067/S0719-06462010000300011
Abstract
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.
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Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
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Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

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