On Two-Dimensional Quaternion Wigner-Ville Distribution

被引：25
作者：
Bahri, Mawardi [1 ]
机构：
[1] Hasanuddin Univ, Dept Math, Makassar 90245, Indonesia
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
关键词：
FOURIER-TRANSFORM; THEOREMS;
D O I：
10.1155/2014/139471
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：13
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