Coupled 2D-Fractional Wavelet Transform

Authors

  • Rajakumar Roopkumar Department of Mathematics, Central University of Tamil Nadu, Thiruvarur 610005, India
  • Ramanathan Kamalakkannan Department of Mathematics, Central University of Tamil Nadu, Thiruvarur 610005, India
  • Ahmed Zayed Department of Mathematical Sciences, De Paul University, Chicago, IL 60614, USA

DOI:

https://doi.org/10.37256/cm.5320244615

Keywords:

Coupled Fractional Fourier Transform, fractional wavelet transform, convolution, uncertainty principle

Abstract

We introduce a new fractional wavelet transform using the convolution for the coupled fractional Fourier transform. We derive that the fractional wavelet transform satisfies all the expected properties such as Parseval identity, inversion formula, convolution theorem. We also characterize the range of the fractional wavelet transform on . Finally, we establish the uncertainty principle for the fractional wavelet transform.

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Published

2024-08-07

Issue

Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131

Section

Research Article

License

Copyright (c) 2024 Rajakumar Roopkumar, Ramanathan Kamalakkannan, Ahmed Zayed

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Coupled 2D-Fractional Wavelet Transform. Contemp. Math. [Internet]. 2024 Aug. 7 [cited 2025 Dec. 24];5(3):3098-117. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/4615