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

On two-dimensional quaternion Wigner-Ville distribution

Bahri M.

Journal of Applied Mathematics

Q3
Published: 2014Citations: 38

Abstract

We present the two-dimensional quaternion Wigner-Ville distribution (QWVD). The transform is constructed by substituting the Fourier transform kernel with the quaternion Fourier transform (QFT) kernel in the classical Wigner-Ville distribution definition. Based on the properties of quaternions and the QFT kernel we obtain three types of the QWVD. We discuss some useful properties of various definitions for the QWVD, which are extensions of the classical Wigner-Ville distribution properties.

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10.1155/2014/139471

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QuaternionSciences
MathematicsSciences
Kernel (algebra)Sciences
Distribution (mathematics)Sciences
Wigner distribution functionSciences
Fourier transformSciences
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Fourier analysisSciences
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