On Two-Dimensional Quaternion Wigner-Ville Distribution

Mawardi Bahri

doi:10.1155/2014/139471

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Home > Journals > J. Appl. Math. > Volume 2014 > Article

2014 On Two-Dimensional Quaternion Wigner-Ville Distribution

Mawardi Bahri

J. Appl. Math. 2014: 1-13 (2014). DOI: 10.1155/2014/139471

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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.