A new discretization scheme for the non-isotropic Stockwell transform

Files

srivastava_hari_mathematics_2023.pdf (1.03 MB)

Date

2023

Authors

Srivastava, Hari M.
Tanary, Azhar Y.
Shah, Firdous A.

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

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 L²(ℝ²). .

Description

Keywords

stockwell transform, two-dimensional fourier transform, discretization, frame

Citation

Srivastava, H. M., Tantary, A. Y., & Shah, F. A. (2023). A new discretization scheme for the non-isotropic Stockwell transform. Mathematics, 11(8), 1839. https://doi.org/10.3390/math11081839

URI

https://doi.org/10.3390/math11081839
 http://hdl.handle.net/1828/15932

Collections

Faculty Publications (BioMed Central & Faculty of Science)
 
University of Victoria Libraries

We acknowledge and respect the Lək̓ʷəŋən (Songhees and Esquimalt) Peoples on whose territory the university stands, and the Lək̓ʷəŋən and W̱SÁNEĆ Peoples whose historical relationships with the land continue to this day.