# A Generalized Uncertainty Principle Involving Fractional Fourier Transform
> Rezki M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_105051338740
Jurnal / Konferensi: Science and Technology Indonesia
Tahun terbit: 2026
DOI: https://doi.org/10.26554/sti.2026.11.4.1679-1687
ISSN: 25804405
Kuartil SJR: Q2
Citations: 0

## Authors
- Rezki M.

## Abstract
It is well known that the fractional Fourier transform (FrFT) is a non-trivial generalization of the classical Fourier transform. This transform has been extensively utilized in signal analysis and image processing. The uncertainty principle is one of the fundamental results related to the FrFT. In the present paper, we first propose the different method in proving a variant of Heisenberg uncertainty principles associated with the FrFT. This method combines the Heisenberg-type uncertainty principle pertaining to the FrFT and the additive property of the FrFT. We then provide an alternative proof of the logarithmic inequality for the FRFT and find that this result differs slightly that in the literature. Finally, we explicitly expand the variant of Heisenberg uncertainty principle to a more general case.

## Keywords
- Uncertainty principle
- Fractional Fourier transform
- Mathematics
- Fourier transform
- Generalization
- Discrete Fourier transform (general)
- Applied mathematics
- Mathematical analysis
- Non-uniform discrete Fourier transform
- Harmonic wavelet transform
- Discrete-time Fourier transform
- Calculus (dental)
- Fourier inversion theorem
- Property (philosophy)
- Fourier analysis
- Short-time Fourier transform
- Logarithm
- Type (biology)
- Signal processing
- Algorithm
- Continuous wavelet transform
- Fourier transform on finite groups

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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