# Some Essential Relations for the Quaternion Quadratic-Phase Fourier Transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85149850869
Jurnal / Konferensi: Mathematics
Tahun terbit: 2023
DOI: https://doi.org/10.3390/math11051235
ISSN: 22277390
Kuartil SJR: Q2
Citations: 13

## Authors
- Bahri M.

## Abstract
Motivated by the fact that the quaternion Fourier transform is a powerful tool in quaternion signal analysis, here, we study the quaternion quadratic-phase Fourier transform, which is a generalized version of the quaternion Fourier transform. We first give a definition of the quaternion quadratic-phase Fourier transform. We derive in detail some essential properties related to this generalized transformation. We explore how the quaternion quadratic-phase Fourier transform is related to the quaternion Fourier transform. It is shown that this relation allows us to obtain several versions of uncertainty principles concerning the quaternion quadratic-phase Fourier transform.

## Keywords
- Quaternion
- Fourier transform
- Mathematics
- Fractional Fourier transform
- Fourier inversion theorem
- Fourier transform on finite groups
- Discrete-time Fourier transform
- Phase correlation
- Non-uniform discrete Fourier transform
- Discrete Fourier transform (general)
- Quadratic equation
- Mathematical analysis
- Fourier analysis
- Geometry

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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