# Convolution and Sampling Theorems for Offset Fractional Fourier Transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_105037081220
Jurnal / Konferensi: Signals
Tahun terbit: 2026
DOI: https://doi.org/10.3390/signals7020022
ISSN: 26246120
Kuartil SJR: Q2
Citations: 1

## Authors
- Bahri M.

## 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.

## Keywords
- Discrete-time Fourier transform
- Mathematics
- Convolution theorem
- Convolution (computer science)
- Offset (computer science)
- Fourier transform
- Product (mathematics)
- Sampling (signal processing)
- Nyquist–Shannon sampling theorem
- Mathematical analysis
- Fourier analysis
- Discrete Fourier transform (general)
- Applied mathematics
- Sampling theory
- Nonuniform sampling
- Fractional Fourier transform
- Circular convolution
- Non-uniform discrete Fourier transform
- Simple (philosophy)
- Algorithm
- Calculus (dental)
- Fourier inversion theorem
- Discrete mathematics
- Sample (material)

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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