# Windowed linear canonical transform: its relation to windowed Fourier transform and uncertainty principles
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85122205766
Jurnal / Konferensi: Journal of Inequalities and Applications
Tahun terbit: 2022
DOI: https://doi.org/10.1186/s13660-021-02737-1
ISSN: 10255834
Kuartil SJR: Q2
Citations: 15

## Authors
- Bahri M.

## Abstract
Abstract The windowed linear canonical transform is a natural extension of the classical windowed Fourier transform using the linear canonical transform. In the current work, we first remind the reader about the relation between the windowed linear canonical transform and windowed Fourier transform. It is shown that useful relation enables us to provide different proofs of some properties of the windowed linear canonical transform, such as the orthogonality relation, inversion theorem, and complex conjugation. Lastly, we demonstrate some new results concerning several generalizations of the uncertainty principles associated with this transformation.

## Keywords
- Fourier transform
- Fractional Fourier transform
- Orthogonality
- Mathematics
- Hartley transform
- Relation (database)
- Transformation (genetics)
- Fourier transform on finite groups
- Discrete Fourier transform (general)
- Mathematical proof
- Constant Q transform
- Harmonic wavelet transform
- Mathematical analysis
- Short-time Fourier transform
- Fourier analysis
- Computer science
- Artificial intelligence
- Wavelet transform
- Geometry
- Data mining
- Gene
- Biochemistry
- Chemistry
- Wavelet
- Discrete wavelet transform

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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