KAMALAKKANNAN R
@srmtrichy.edu.in
Assistant Professor
SRM Institute of Science and Technology, Tiruchirappalli Campus
EDUCATION
M.Sc., M.Phil., Ph.D.
RESEARCH INTERESTS
Integral Transforms, Fourier Transforms
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
R. Kamalakkannan, R. Roopkumar, and A. Zayed
Springer International Publishing
Ramanathan Kamalakkannan and Rajakumar Roopkumar
Springer Science and Business Media LLC
R. Kamalakkannan, R. Roopkumar, and A. Zayed
Informa UK Limited
The coupled fractional Fourier transform is a two-dimensional fractional Fourier transform that depends on two angles that are coupled in such a way that the transform parameters are and It generalizes the two-dimensional Fourier transform and it serves as useful tool in some applications in optics and signal processing. In this article we derive new properties of the transform, such as its additive property. We then extend some of them to and show that the transform is a unitary operator on
Ramanathan Kamalakkannan, Rajakumar Roopkumar, and Ahmed Zayed
Springer Science and Business Media LLC
In this paper, we introduce a short-time coupled fractional Fourier transform ( scfrft ) using the kernel of the coupled fractional Fourier transform ( cfrft ). We then prove that it satisfies Parseval’s relation, derive its inversion and addition formulas, and characterize its range on ℒ 2 (ℝ 2 ). We also study its time delay and frequency shift properties and conclude the article by a derivation of an uncertainty principle for both the coupled fractional Fourier transform and short-time coupled fractional Fourier transform.
R. Kamalakkannan and R. Roopkumar
Informa UK Limited
ABSTRACT In this paper, we prove inversion theorems and Parseval identity for the multidimensional fractional Fourier transform. Analogous to the existing fractional convolutions on functions of single variable, we also introduce a generalized fractional convolution on functions of several variables and we derive their properties including convolution theorem and product theorem for the multidimensional fractional Fourier transform.