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 furt...
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| Lenguaje: | English |
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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oai:scielo:S0719-064620100003000112018-10-08Generalized Spectrograms and t -Wigner TransformsPAOLO,BOGGIATTOGIUSEPPE,DE DONNOALESSANDRO,OLIAROCUONG,BUI KIEN Time-Frequency representation t-Wigner distribution generalized Spectrogram 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.3 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300011en10.4067/S0719-06462010000300011 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Time-Frequency representation t-Wigner distribution generalized Spectrogram |
| spellingShingle |
Time-Frequency representation t-Wigner distribution generalized Spectrogram PAOLO,BOGGIATTO GIUSEPPE,DE DONNO ALESSANDRO,OLIARO CUONG,BUI KIEN Generalized Spectrograms and t -Wigner Transforms |
| description |
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. |
| author |
PAOLO,BOGGIATTO GIUSEPPE,DE DONNO ALESSANDRO,OLIARO CUONG,BUI KIEN |
| author_facet |
PAOLO,BOGGIATTO GIUSEPPE,DE DONNO ALESSANDRO,OLIARO CUONG,BUI KIEN |
| author_sort |
PAOLO,BOGGIATTO |
| title |
Generalized Spectrograms and t -Wigner Transforms |
| title_short |
Generalized Spectrograms and t -Wigner Transforms |
| title_full |
Generalized Spectrograms and t -Wigner Transforms |
| title_fullStr |
Generalized Spectrograms and t -Wigner Transforms |
| title_full_unstemmed |
Generalized Spectrograms and t -Wigner Transforms |
| title_sort |
generalized spectrograms and t -wigner transforms |
| publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
| publishDate |
2010 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300011 |
| work_keys_str_mv |
AT paoloboggiatto generalizedspectrogramsandtwignertransforms AT giuseppededonno generalizedspectrogramsandtwignertransforms AT alessandrooliaro generalizedspectrogramsandtwignertransforms AT cuongbuikien generalizedspectrogramsandtwignertransforms |
| _version_ |
1714206769560944640 |