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EnglishThe quadratic nature of the Wigner distribution causes the appearance of unwanted interferences. This is the reason why engineers, mathematicians and physicists look for related time-frequency distributions, many of them are members of the Cohen class. Among them, the Born-Jordan distribution has recently attracted the attention of many authors, since the so-called ghost frequencies are damped quite well, and the noise is in general reduced. The very insight relies on the kernel of such a distribution, which contains the sinus cardinalis (sinc), which can be viewed as the Fourier transform, of the first B-Spline. Replacing the function B-Spline with the spline or order n, on the Fourier side we obtain the n-th power of sinc, whose decay at infinity increases with n. We introduce the corresponding Cohen's Kernel and study the properties of the related time-frequency distribution which we call generalized Born--Jordan distribution.
Generalized Born--Jordan Distributions and Applications / Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio. - In: ADVANCES IN COMPUTATIONAL MATHEMATICS. - ISSN 1019-7168. - STAMPA. - 46:4(2020).
| Titolo: | Generalized Born--Jordan Distributions and Applications |
| Autori: | |
| Data di pubblicazione: | 2020 |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10444-020-09788-w |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| ACM2020.pdf | post-print editoriale | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia |
| deGosson-revised27012020.pdf | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Embargo: 06/06/2021 Richiedi una copia |
http://hdl.handle.net/11583/2853979
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