# A Version of Uncertainty Principle for Quaternion Linear Canonical Transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85047647431
Jurnal / Konferensi: Abstract and Applied Analysis
Tahun terbit: 2018
DOI: https://doi.org/10.1155/2018/8732457
ISSN: 10853375
Kuartil SJR: Q4
Citations: 16

## Authors
- Bahri M.

## Abstract
In recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the quaternion linear canonical transform (QLCT), we derive a version of the uncertainty principle associated with the QLCT. We also discuss the generalization of the Hausdorff-Young inequality in the QLCT domain.

## Keywords
- Quaternion
- Mathematics
- Generalization
- Fourier transform
- Focus (optics)
- Domain (mathematical analysis)
- Fractional Fourier transform
- Uncertainty principle
- Algebra over a field
- Pure mathematics
- Mathematical analysis
- Fourier analysis
- Geometry
- Physics
- Optics
- Quantum mechanics
- Quantum

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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