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- Title
Uncertainty principles for windowed coupled fractional Fourier transform.
- Authors
Bahri, Mawardi; Syamsuddin, Fitriyani; Bachtiar, Nasrullah; Amir, Amir Kamal
- Abstract
The windowed coupled fractional Fourier transform was recently proposed in the literature. It may be considered as a generalized version of the windowed fractional Fourier transform. In this study, we first present various basic properties of the windowed coupled fractional Fourier transform including linearity, shifting, modulation, parity, orthogonality relation, and inversion formula. Further, the close relation of the windowed coupled fractional Fourier transform with the two‐dimensional Fourier transform and the windowed fractional Fourier transform is studied. By combining the properties and relation, we derive several versions of the uncertainty inequalities related to the windowed coupled fractional Fourier transform.
- Subjects
FOURIER transforms; HEISENBERG uncertainty principle
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 9, p7418
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9980