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Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review

Uncertainty principles for coupled fractional Wigner-Ville distribution

Nur A.T.A.

Royal Society Open Science

Q1
Published: 2024Citations: 3

Abstract

The coupled fractional Wigner-Ville distribution is a more general version of the fractional Wigner-Ville distribution. Main properties including boundedness, Moyal's formula and inversion formula are studied in detail for the transformation. Additionally, the relation of the coupled fractional Wigner-Ville distribution with the two-dimensional Fourier transform is studied. We also present the relationship between the coupled fractional Wigner-Ville distribution with the two-dimensional Wigner-Ville distribution. We show how the properties and relations allow us to derive several versions of the uncertainty inequalities related to the coupled fractional Wigner-Ville distribution.

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10.1098/rsos.231579

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