Mawardi Bahri, Marni Rezki, Samsul Ariffin Abdul Karim, Nasrullah Bachtiar, Muhammad Zakir, Bannu Addul Samad
The offset fractional Fourier transform (OFrFT) has emerged as a mathematical tool for time-frequency analysis of non-stationary signals. However, there has been relatively little research on investigating properties including the convolution theorem and the sampling formulas. This paper investigates the new form of convolution theorem and its product theorem associated with the OFrFT. We also establish a sampling formula related to the transformation. Finally, a simple example is displayed to verify the results related to the sampling formula for the OFrFT. © 2026 by the authors.
Department of Mathematics, Hasanuddin University, Makassar, 90245, Indonesia; Institute of Strategic Industrial Decision Modelling (ISIDM), School of Quantitative Sciences, UUM College of Arts & Sciences, Universiti Utara Malaysia, Sintok, 06010, Malaysia; Computational Statistics and Applied Mathematics (CSAM) Research Group, School of Quantitative Sciences, UUM College of Arts and Sciences, Universiti Utara Malaysia, Sintok, 06010, Malaysia; Quaternion Fourier Transform Research Group (Q-FourT), Hasanuddin University, Makassar, 90245, Indonesia; Department of Actuarial Science, Sumatera Institute of Technology, South Lampung, 35365, Indonesia; Department of Physics, Hasanuddin University, Makassar, 90245, Indonesia
Research at a Glance
Register to unlock
Topics & SDG Alignment
Register to unlock
Collaboration
Register to unlock
Author Profile (Selected)
Register to unlock
References Overview
Register to unlock
Journal & Source
Register to unlock
Metadata & Integrity
Register to unlock