Share
Export Citation
APA
MLA
Chicago
Harvard
Vancouver
BIBTEX
RIS
Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review
Windowed linear canonical transform: its relation to windowed Fourier transform and uncertainty principles
Bahri M.
Journal of Inequalities and Applications
Q2Published: 2022Citations: 15
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.
Access to Document
10.1186/s13660-021-02737-1Other files and links
- Link to publication in Scopus
- Open Access Version Available
Fingerprint
Fourier transformSciences
Fractional Fourier transformSciences
OrthogonalitySciences
MathematicsSciences
Hartley transformSciences
Relation (database)Sciences
Transformation (genetics)Sciences
Fourier transform on finite groupsSciences
Discrete Fourier transform (general)Sciences
Mathematical proofSciences
Constant Q transformSciences
Harmonic wavelet transformSciences
Mathematical analysisSciences
Short-time Fourier transformSciences
Fourier analysisSciences
Computer scienceSciences
Artificial intelligenceSciences
Wavelet transformSciences
GeometrySciences
Data miningSciences
GeneSciences
BiochemistrySciences
ChemistrySciences
WaveletSciences
Discrete wavelet transformSciences