Note on Fourier Transform of Hidden Variable Fractal Interpolation

Authors

  • A. Agathiyan
  • A. Gowrisankar
  • Pankajam Natarajan
  • Kishore Bingi
  • Nagoor Basha Shaik

DOI:

https://doi.org/10.4186/ej.2023.27.12.23 Full article

Abstract

This paper investigates the Fourier transform of a hidden variable fractal interpolation function with function scaling factors, which generalizes the Fourier transform of hidden variable fractal interpolation function with constant scaling factors. Furthermore, the Fourier transform of quadratic hidden variable fractal interpolation function with function scaling factors is also investigated. With an aim of maximizing the flexibility of hidden variable fractal interpolation function and quadratic hidden variable fractal interpolation function, a class of iterated function systems involving function scalings is chosen for the present study.

Keywords:

Fourier transform, function scaling factors, hidden variable fractal interpolation function

Affiliations

  • A. Agathiyan Vellore Institute of Technology
  • A. Gowrisankar Vellore Institute of Technology
  • Pankajam Natarajan Dr. Mahalingam College of Engineering and Technology
  • Kishore Bingi Universiti Teknologi Petronas
  • Nagoor Basha Shaik Chulalongkorn University

Corresponding author: A. Gowrisankar, gowrisankargri@gmail.com

2037 875

Author Biographies

  • A. Agathiyan

    Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India

  • A. Gowrisankar

    Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India

  • Pankajam Natarajan

    Department of Mathematics, Dr. Mahalingam College of Engineering and Technology, Pollachi, Coimbatore-642003, Tamil Nadu, India

  • Kishore Bingi

    Department of Electrical and Electronics Engineering, Universiti Teknologi PETRONAS, Seri Iskandar, 32610, Malaysia

  • Nagoor Basha Shaik

    Faculty of Engineering, Chulalongkorn University, Thailand

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How to Cite

[1]
A. Agathiyan, A. Gowrisankar, P. Natarajan, K. Bingi, and N. B. Shaik, “Note on Fourier Transform of Hidden Variable Fractal Interpolation”, Eng. J., vol. 27, no. 12, pp. 23–36, Dec. 2023, doi: 10.4186/ej.2023.27.12.23.

Citations

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Published

2023-12-31

Issue

Vol. 27 No. 12 (2023): Regular Issue

Section

Modern Engineering Technology

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