A New Discretization Scheme for the Non-Isotropic Stockwell Transform

Hari M. Srivastava (), Azhar Y. Tantary and Firdous A. Shah
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Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Azhar Y. Tantary: Department of Mathematics, University of Kashmir, South Campus, Anantnag 192101, India
Firdous A. Shah: Department of Mathematics, University of Kashmir, South Campus, Anantnag 192101, India

Mathematics, 2023, vol. 11, issue 8, 1-9

Abstract: To avoid the undesired angular expansion of the sampling grid in the discrete non-isotropic Stockwell transform, in this communication we propose a scale-dependent discretization scheme that controls both the radial and angular expansions in unison. Based on the new discretization scheme, we derive a sufficient condition for the construction of Stockwell frames in L 2 ( R 2 ) .

Keywords: stockwell transform; two-dimensional fourier transform; discretization; frame (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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