# A New form of Plancherel Theorem for Two-Sided Quaternion Fourier Transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85142764847
Jurnal / Konferensi: International Conference on Wavelet Analysis and Pattern Recognition
Tahun terbit: 2022
DOI: https://doi.org/10.1109/ICWAPR56446.2022.9947132
ISSN: 21585695
Citations: 0

## Authors
- Bahri M.

## Abstract
In this work, we introduce the two-sided Quaternion Fourier transform and main properties. Using the decomposition of quaternion, we propose a new form of Plancherel's formula related to transformation. We also obtain a form of convolution theorem associated with the two-sided Quaternion Fourier Trans-form.

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

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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