# On one-dimensional quaternion fourier transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85075016333
Jurnal / Konferensi: Journal of Physics Conference Series
Tahun terbit: 2019
DOI: https://doi.org/10.1088/1742-6596/1341/6/062004
ISSN: 17426588
Citations: 19

## Authors
- Bahri M.

## Abstract
Abstract There have been several efforts in the literature to extend the traditional Fourier transformation by using the quaternion algebra. This paper presents the one-dimensional quaternion Fourier transform. We derive its properties which are the extensions of corresponding properties of the one-dimensional Fourier transformation. Finally, the convolution theorem related to the one-dimensional quaternion Fourier transform is discussed.

## Keywords
- Quaternion
- Fourier transform
- Fourier inversion theorem
- Convolution (computer science)
- Mathematics
- Discrete-time Fourier transform
- Transformation (genetics)
- Convolution theorem
- Fractional Fourier transform
- Discrete Fourier transform (general)
- Fourier transform on finite groups
- Fourier analysis
- Algebra over a field
- Mathematical analysis
- Pure mathematics
- Computer science
- Geometry
- Artificial intelligence
- Artificial neural network
- Biochemistry
- Chemistry
- Gene

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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