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Convolution and Sampling Theorems for Offset Fractional Fourier Transform

Year: 2026

Type: article

Abstract: 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.

Source: Signals

Authors: Mawardi Bahri, Marni Rezki, Samsul Ariffin Abdul Karim, Nasrullah Bachtiar, Muhammad Zakir, Bannu Addul Samad

Institutions: Hasanuddin University, Universiti Utara Malaysia, Sumatera Institute of Technology

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,207

OpenAlex ID: W7133360394

FWCI:

Cites: 26

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