# On two-dimensional quaternion Wigner-Ville distribution
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_84893802169
Jurnal / Konferensi: Journal of Applied Mathematics
Tahun terbit: 2014
DOI: https://doi.org/10.1155/2014/139471
ISSN: 1110757X
Kuartil SJR: Q3
Citations: 38

## Authors
- Bahri M.

## Abstract
We present the two-dimensional quaternion Wigner-Ville distribution (QWVD). The transform is constructed by substituting the Fourier transform kernel with the quaternion Fourier transform (QFT) kernel in the classical Wigner-Ville distribution definition. Based on the properties of quaternions and the QFT kernel we obtain three types of the QWVD. We discuss some useful properties of various definitions for the QWVD, which are extensions of the classical Wigner-Ville distribution properties.

## Keywords
- Quaternion
- Mathematics
- Kernel (algebra)
- Distribution (mathematics)
- Wigner distribution function
- Fourier transform
- Pure mathematics
- Mathematical analysis
- Fractional Fourier transform
- Fourier analysis
- Geometry
- Physics
- Quantum mechanics
- Quantum

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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