# Relationships between convolution and correlation for fourier transform and quaternion fourier transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/relationships-between-convolution-and-correlation-for-fourier-transform-and-quat
Jurnal / Konferensi: International Journal of Mathematical Analysis
Tahun terbit: 2013
DOI: https://doi.org/10.12988/ijma.2013.36157
ISSN: 13128876
Citations: 23

## Authors
- Bahri M.

## Abstract
In this paper we introduce convolution theorem for the Fourier transform (FT) of 
\ntwo complex functions. We show that the correlation theorem for the FT can be 
\nderived using properties of convolution. We develop this idea to derive the 
\ncorrelation theorem for the quaternion Fourier transform (QFT) of the two 
\nquaternion functions.

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

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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