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 repres...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidad de La Frontera
2010-01-01
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| Series: | Cubo |
| Subjects: | |
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300011 |
| Summary: | 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.<br>Nosotros consideramos en este artículo representaciones de tipoWigner Wig t dependiendo de um parámetro t ∈ [0,1] como definido en [2]. Probamos que la clase Cohen puede ser caracterizada en terminos de la convolución de tales Wig t con una distribución temperada. Introducimos también la clase de “representaciones cuadraticas” Sp t basado en el t-Wigner, como una extensión de dos ventanas espectrograma (ver [2]). Nosotros damos propiedades básicas de Sp t como subclases de la clase Cohen. |
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| ISSN: | 0716-7776 0719-0646 |