The 2D Fourier transform and its generalizations
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of sciences
Abstract
This graduation note is essentially devoted to the study of 2D Fourier transform
and its generalization. In fact, it is a natural generalization of the idea of Fourier
transform. This idea makes the 2D Fourier transform very natural in the study.
In the
rst part, we de
ned the 2D Fourier transform and we established some
properties of this transform. Moreover, some examples and applications across various
elds are illustrated . Then, we gave de
nitions, properties and some applications
for 2D windowed Fourier transform. Finally, the de
nition of 2D fractional Fourier
transform with some applications are presented