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Dunkl–Stockwell transform and its applications to the time–frequency analysis

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In this paper, we extend the one-dimensional Stockwell transform discussed in Stockwell et al. (IEEE Trans Signal Process 44:998–1001, 1996) to the Dunkl theory seeting. We obtain the expected properties… Click to show full abstract

In this paper, we extend the one-dimensional Stockwell transform discussed in Stockwell et al. (IEEE Trans Signal Process 44:998–1001, 1996) to the Dunkl theory seeting. We obtain the expected properties of the extended Stockwell transform such as Parseval’s formula, inversion formula, Calderon’s formula. Next, some applications are given as the uncertainty principles and the theory of localization operators associated with this new transform.

Keywords: applications time; stockwell; time frequency; transform applications; stockwell transform; dunkl stockwell

Journal Title: Journal of Pseudo-differential Operators and Applications
Year Published: 2021

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