A Study on the Fourier Transforms with Their Utilizations

Abstract

In applied sciences, Fourier transforms are crucial for comprehending a range of physical processes. The application of Fourier Transforms is particularly beneficial in the computational sciences. In this work, we discuss continuous Fourier Transforms, Discrete Fourier Transforms, and their utilizations in basic science and engineering i.e. in Communications, Optics, Quantum Physics and Singal processing, noise reduction, image compression, Biomedical Engineering   etc. The uses of the one-dimensional and two-dimensional Fourier transforms in image processing and signal noise filtering have been discussed here.