DefinitionFourier Transform: In mathematics, the Fourier transform is a mathematical technique used in various fields, which have spread to other areas including the areas of statistical physics, ocean bouy systems and many others. They applies to a function in the time- or space-domain the transformation that takes us to the frequency-domain, where the frequency content, intensity, and phase is displayed. Due to their sin wave nature, the Fourier transform is used in signal processing, communication system and scientific analysis for breaking signals down into frequency components. Essentially, the Fourier transform is an integral transforms that transitions between the frequency representation of a signal and the time or spatial domain. As in the above example, If F(ω) is a representation in a frequency domain, G(ω) uses filter function H(ω) which can be obtained by adding weight W(h) to F(ω) like G(ω)=H(ω)F(ω)+H(ω)W(ω) [1] or something similar in Fourier domain.
