Application and graphical interpretation of a new two-dimensional quaternion fractional Fourier transform

Parmar, Khinal; Gorty, V. R. Lakshmi

doi:10.28924/2291-8639-19-2021-561

Research Article

Application and graphical interpretation of a new two-dimensional quaternion fractional Fourier transform

Khinal Parmar¹*
V. R. Lakshmi Gorty¹

NMIMS, MPSTME

* Corresponding author

Abstract

In this paper, a new two-dimensional quaternion fractional Fourier transform is developed. The properties such as linearity, shifting and derivatives of the quaternion-valued function are studied. The convolution theorem and inversion formula are also established. An example with graphical representation is solved. An application related to two-dimensional quaternion Fourier transform is also demonstrated.

How to Cite

K. Parmar, V. R. L. Gorty, Application and graphical interpretation of a new two-dimensional quaternion fractional Fourier transform, Int. J. Anal. Appl. 19 (2021), 561–575. https://doi.org/10.28924/2291-8639-19-2021-561

BibTeX

@article{Parmar2021,
  author  = {Parmar, Khinal and Gorty, V. R. Lakshmi},
  title   = {Application and graphical interpretation of a new two-dimensional quaternion fractional Fourier transform},
  journal = {Int. J. Anal. Appl.},
  volume  = {19},
  year    = {2021},
  pages   = {561--575},
  doi     = {10.28924/2291-8639-19-2021-561}
}

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