# Convolution and Correlation Theorems for Quaternion Fourier Transformation Based on the Orthogonal Planes Split
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85078332738
Jurnal / Konferensi: International Conference on Wavelet Analysis and Pattern Recognition
Tahun terbit: 2019
DOI: https://doi.org/10.1109/ICWAPR48189.2019.8946471
ISSN: 21585695
Citations: 1

## Authors
- Bahri M.

## Abstract
The quaternion Fourier transformation based on orthogonal planes split is an extension of the two-sided quaternion Fourier transformations using quaternion split. In the present paper we investigate its basic properties such as linearity, frequency-shift and time-frequency shift. We then study the convolution and correlation definitions for the quaternion Fourier transformation based on orthogonal planes split and obtain their convolution and correlation theorems.

## Keywords
- Quaternion
- Convolution (computer science)
- Transformation (genetics)
- Fourier transform
- Mathematics
- Convolution theorem
- Fourier series
- Extension (predicate logic)
- Circular convolution
- Mathematical analysis
- Fourier analysis
- Computer science
- Geometry
- Fractional Fourier transform
- Artificial intelligence
- Programming language
- Gene
- Biochemistry
- Artificial neural network
- Chemistry

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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