# Relation between Quaternion Fourier Transform and Quaternion Wigner-Ville Distribution Associated with Linear Canonical Transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85031899342
Jurnal / Konferensi: Journal of Applied Mathematics
Tahun terbit: 2017
DOI: https://doi.org/10.1155/2017/3247364
ISSN: 1110757X
Kuartil SJR: Q3
Citations: 14

## Authors
- Bahri M.

## Abstract
The quaternion Wigner-Ville distribution associated with linear canonical transform (QWVD-LCT) is a nontrivial generalization of the quaternion Wigner-Ville distribution to the linear canonical transform (LCT) domain. In the present paper, we establish a fundamental relationship between the QWVD-LCT and the quaternion Fourier transform (QFT). Based on this fact, we provide alternative proof of the well-known properties of the QWVD-LCT such as inversion formula and Moyal formula. We also discuss in detail the relationship among the QWVD-LCT and other generalized transforms. Finally, based on the basic relation between the quaternion ambiguity function associated with the linear canonical transform (QAF-LCT) and the QFT, we present some important properties of the QAF-LCT.

## Keywords
- Quaternion
- Mathematics
- Fourier transform
- Fractional Fourier transform
- Wigner distribution function
- Pure mathematics
- Mathematical analysis
- Fourier analysis
- Physics
- Geometry
- Quantum mechanics
- Quantum

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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