Note on Fourier Transform of Hidden Variable Fractal Interpolation

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

doi:10.4186/ej.2023.27.12.23

Note on Fourier Transform of Hidden Variable Fractal Interpolation

Authors

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

DOI:

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

Keywords:

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

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.

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Author Biographies

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

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

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

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

Nagoor Basha Shaik
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Faculty of Engineering, Chulalongkorn University, Thailand

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Published In

Vol 27 No 12, Dec 31, 2023

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.

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