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A New Discretization Scheme for the Non-Isotropic Stockwell Transform

Author

Listed:
  • Hari M. Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan)

  • 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)

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 ) .

Suggested Citation

  • Hari M. Srivastava & Azhar Y. Tantary & Firdous A. Shah, 2023. "A New Discretization Scheme for the Non-Isotropic Stockwell Transform," Mathematics, MDPI, vol. 11(8), pages 1-9, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1839-:d:1122108
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