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arXiv · 1901.01098

The two-sided Gabor quaternion Fourier transform and some uncertainty principles

Mohammed El Kassimi·Said Fahlaoui
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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.

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Mohammed El Kassimi, Said Fahlaoui. 2018-11-30. The two-sided Gabor quaternion Fourier transform and some uncertainty principles. https://arxiv.org/abs/1901.01098

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