KAMALAKKANNAN R

@srmtrichy.edu.in

Assistant Professor
SRM Institute of Science and Technology, Tiruchirappalli Campus

KAMALAKKANNAN R


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https://researchid.co/kamalcutn

EDUCATION

M.Sc., M.Phil., Ph.D.

RESEARCH INTERESTS

Integral Transforms, Fourier Transforms
6

Scopus Publications

115

Scholar Citations

4

Scholar h-index

4

Scholar i10-index

Scopus Publications

  • Coupled 2D-Fractional Wavelet Transform
    Rajakumar Roopkumar, Ramanathan Kamalakkannan, Ahmed Zayed
    Contemporary Mathematics Singapore, 2024
    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.
  • Quaternionic Coupled Fractional Fourier Transform on Boehmians
    R. Kamalakkannan, R. Roopkumar, A. Zayed
    Applied and Numerical Harmonic Analysis, 2023
  • Two-dimensional Fractional Stockwell Transform
    Ramanathan Kamalakkannan, Rajakumar Roopkumar
    Circuits Systems and Signal Processing, 2022
  • On the extension of the coupled fractional Fourier transform and its properties
    R. Kamalakkannan, R. Roopkumar, A. Zayed
    Integral Transforms and Special Functions, 2022
    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
  • Short time coupled fractional fourier transform and the uncertainty principle
    Ramanathan Kamalakkannan, Rajakumar Roopkumar, Ahmed Zayed
    Fractional Calculus and Applied Analysis, 2021
    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.
  • Multidimensional fractional Fourier transform and generalized fractional convolution
    R. Kamalakkannan, R. Roopkumar
    Integral Transforms and Special Functions, 2020
    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.

RECENT SCHOLAR PUBLICATIONS

  • Coupled 2D-Fractional Wavelet Transform
    R Roopkumar, R Kamalakkannan, A Zayed
    Contemporary Mathematics , 2024
    2024
    Citations: 1
  • Quaternionic coupled fractional Fourier transform on Boehmians
    R Kamalakkannan, R Roopkumar, A Zayed
    Sampling, Approximation, and Signal Analysis: Harmonic Analysis in the … , 2024
    2024
    Citations: 3
  • Two-dimensional fractional Stockwell transform
    R Kamalakkannan, R Roopkumar
    Circuits, Systems, and Signal Processing 41 (3), 1735-1750 , 2022
    2022
    Citations: 12
  • On the extension of the coupled fractional Fourier transform and its properties
    R Kamalakkannan, R Roopkumar, A Zayed
    Integral Transforms and Special Functions 33 (1), 65-80 , 2022
    2022
    Citations: 26
  • Short time coupled fractional Fourier transform and the uncertainty principle
    R Kamalakkannan, R Roopkumar, A Zayed
    Fractional Calculus and Applied Analysis 24 (3), 667-688 , 2021
    2021
    Citations: 23
  • Multidimensional fractional Fourier transform and generalized fractional convolution
    R Kamalakkannan, R Roopkumar
    Integral Transforms and Special Functions 31 (2), 152-165 , 2020
    2020
    Citations: 50

MOST CITED SCHOLAR PUBLICATIONS

  • Multidimensional fractional Fourier transform and generalized fractional convolution
    R Kamalakkannan, R Roopkumar
    Integral Transforms and Special Functions 31 (2), 152-165 , 2020
    2020
    Citations: 50
  • On the extension of the coupled fractional Fourier transform and its properties
    R Kamalakkannan, R Roopkumar, A Zayed
    Integral Transforms and Special Functions 33 (1), 65-80 , 2022
    2022
    Citations: 26
  • Short time coupled fractional Fourier transform and the uncertainty principle
    R Kamalakkannan, R Roopkumar, A Zayed
    Fractional Calculus and Applied Analysis 24 (3), 667-688 , 2021
    2021
    Citations: 23
  • Two-dimensional fractional Stockwell transform
    R Kamalakkannan, R Roopkumar
    Circuits, Systems, and Signal Processing 41 (3), 1735-1750 , 2022
    2022
    Citations: 12
  • Quaternionic coupled fractional Fourier transform on Boehmians
    R Kamalakkannan, R Roopkumar, A Zayed
    Sampling, Approximation, and Signal Analysis: Harmonic Analysis in the … , 2024
    2024
    Citations: 3
  • Coupled 2D-Fractional Wavelet Transform
    R Roopkumar, R Kamalakkannan, A Zayed
    Contemporary Mathematics , 2024
    2024
    Citations: 1