# Fractional Fourier Transform: Duality, Correlation Theorem and Applications
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85142739370
Jurnal / Konferensi: International Conference on Wavelet Analysis and Pattern Recognition
Tahun terbit: 2022
DOI: https://doi.org/10.1109/ICWAPR56446.2022.9947156
ISSN: 21585695
Citations: 2

## Authors
- Bahri M.

## Abstract
We first start by introducing the fractional Fourier trans-form. We exhibit that the direct relationship between the fractional Fourier transform and Fourier transform can be developed for obtaining the fractional Fourier transform of a function. We then establish the duality property related to the fractional Fourier transform. It is shown that the correlation theorem can be found using the natural link between the convolution and cor-relation definitions in the fractional Fourier domains. For applications, various consequences of the convolution and correlation theorems including the fractional Fourier transform are also in-vestigated in detail.

## Keywords
- Fractional Fourier transform
- Fourier transform
- Fourier inversion theorem
- Convolution (computer science)
- Mathematics
- Discrete-time Fourier transform
- Discrete Fourier transform (general)
- Phase correlation
- Hartley transform
- Duality (order theory)
- Fourier analysis
- Mathematical analysis
- Pure mathematics
- Computer science
- Artificial intelligence
- Artificial neural network

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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