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

Logarithmic uncertainty principle for quaternion linear canonical transform

Bahri M.

International Conference on Wavelet Analysis and Pattern Recognition

Published: 2016Citations: 21

Abstract

The quaternion linear canonical transform (QLCT) can be thought as a generalization of the linear canonical transform (LCT) to quaternion algebra. The relationship between the QLCT and the quaternion Fourier transform (QFT) is derived. Based on this fact and properties of the QLCT, a logarithmic uncertainty principle associated with the quaternion linear canonical transform is established.

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QuaternionSciences
MathematicsSciences
LogarithmSciences
GeneralizationSciences
Fourier transformSciences
Quaternion algebraSciences
Algebra over a fieldSciences
Discrete Fourier transform (general)Sciences
Fractional Fourier transformSciences
Pure mathematicsSciences
Mathematical analysisSciences
Fourier analysisSciences
Algebra representationSciences
GeometrySciences
Division algebraSciences