On Two-Dimensional Quaternion Wigner-Ville Distribution
Author(s) -
Mawardi Bahri
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/139471
Subject(s) - quaternion , mathematics , kernel (algebra) , distribution (mathematics) , wigner distribution function , fourier transform , pure mathematics , mathematical analysis , fractional fourier transform , fourier analysis , geometry , physics , quantum mechanics , quantum
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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