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

Relationship among Three Definitions of Quaternion Fourier Transforms and Inversion Formula

Bahri M.

International Conference on Wavelet Analysis and Pattern Recognition

Published: 2019

Abstract

Firstly, based on basic properties of the kernel function of the quaternion Fourier transform we derive in detail relationships among three definitions of the quaternion Fourier transforms. Secondly, based on the quaternion Fourier transform of the quaternion Gaussian function we derive an inversion formula to recovering a quaternion function from the quaternion Fourier transform.

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QuaternionSciences
Fourier transformSciences
Fourier inversion theoremSciences
MathematicsSciences
Fourier seriesSciences
Fractional Fourier transformSciences
Discrete-time Fourier transformSciences
Discrete Fourier transform (general)Sciences
Mathematical analysisSciences
Fourier analysisSciences
GeometrySciences