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2014 On Two-Dimensional Quaternion Wigner-Ville Distribution
Mawardi Bahri
J. Appl. Math. 2014: 1-13 (2014). DOI: 10.1155/2014/139471

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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Mawardi Bahri. "On Two-Dimensional Quaternion Wigner-Ville Distribution." J. Appl. Math. 2014 1 - 13, 2014. https://doi.org/10.1155/2014/139471

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07010551
MathSciNet: MR3166750
Digital Object Identifier: 10.1155/2014/139471

Rights: Copyright © 2014 Hindawi

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