The two-sided Gabor quaternion Fourier transform and some uncertainty principles
Classical Analysis and ODEs
2019-01-07 v1
Abstract
In this paper, we define a new transform called the Gabor quaternionic Fourier transform (GQFT), which generalizes the classical windowed Fourier transform to quaternion valued-signals, we give several important properties such as the Plancherel formula and inversion formula. Finally, we establish the Heisenberg uncertainty principles for the GQFT.
Keywords
Cite
@article{arxiv.1901.01098,
title = {The two-sided Gabor quaternion Fourier transform and some uncertainty principles},
author = {Mohammed El Kassimi and Said Fahlaoui},
journal= {arXiv preprint arXiv:1901.01098},
year = {2019}
}