# Coupled Fractional Fourier Transform: Properties and Uncertainty Principle
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_105037933211
Jurnal / Konferensi: Journal of the Indonesian Mathematical Society
Tahun terbit: 2026
DOI: https://doi.org/10.22342/jims.v32i2.1961
ISSN: 20868952
Kuartil SJR: Q4
Citations: 1

## Authors
- Bahri M.

## Abstract
The coupled fractional Fourier transform is a general form of the fractional Fourier transform. In the present work, we demonstrate basic properties of the proposed transformation, such as linearity, shifting and modulation. We also propose convolution and correlation theorems and then explore a generalized uncertainty principle for the coupled fractional Fourier transform. These crucial results are modifications of the corresponding properties pertaining to the fractional Fourier transform and the conventional Fourier transform.

## Keywords
- Mathematics
- Fourier transform
- Convolution (computer science)
- Discrete-time Fourier transform
- Fractional Fourier transform
- Mathematical analysis
- Fourier series
- Fourier inversion theorem
- Fourier analysis
- Uncertainty principle
- Discrete Fourier transform (general)
- Fractional calculus
- Sine and cosine transforms
- Applied mathematics
- Phase correlation
- Fourier transform on finite groups
- Discrete Fourier series
- Convolution theorem

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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