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Special affine stockwell transform: Theory, uncertainty principles and applications.

  • Published In: International Journal of Wavelets, Multiresolution & Information Processing, 2024, v. 22, n. 3. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Dar, Aamir H.; Bhat, M. Younus 3 of 3

Abstract

In this paper, we combine the benefits of the well-known special affine Fourier and Stockwell transforms into a novel integral transform dubbed as special affine Stockwell transform and investigate the associated constant Q-property in the joint time–frequency domain. We do this by using the convolution structure of the special affine Fourier transform. The derivation of the basic properties, Rayleigh's energy theorem, the inversion formula and the range theorem are all included in the preliminary analysis. Besides, we also derive a direct relationship between the recently introduced special affine scaled Wigner distribution and the proposed SAST. Furthermore, we establish Heisenberg's uncertainty principle, logarithmic uncertainty principle and Nazarov's uncertainty principle associated with the proposed SAST. Towards the culmination of this paper, some potential applications with simulation are presented. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Wavelets, Multiresolution & Information Processing. 2024/05, Vol. 22, Issue 3, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2024
  • ISSN:0219-6913
  • DOI:10.1142/S0219691323500571
  • Accession Number:178538963
  • Copyright Statement:Copyright of International Journal of Wavelets, Multiresolution & Information Processing is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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