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

Uncertainty principles related to quaternionic windowed Fourier transform

Bahri M.

International Journal of Wavelets Multiresolution and Information Processing

Q3
Published: 2020Citations: 11

Abstract

In this paper, we first introduce uncertainty principles for the quaternion Fourier transform (QFT). We then provide a different proof of the well-known properties of the quaternionic windowed Fourier transform (QWFT) using properties of the QFT which is a little bit simpler than usual. Based on uncertainty principles for the QFT and the relationship between the QFT and QWFT, we establish uncertainty principles related to the QWFT.

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10.1142/S0219691320500150

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Fourier transformSciences
QuaternionSciences
MathematicsSciences
Uncertainty principleSciences
Discrete Fourier transform (general)Sciences
Algebra over a fieldSciences
Fractional Fourier transformSciences
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Calculus (dental)Sciences
Computer scienceSciences
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