Fourier Transforms: Principles and Applications

The Fourier transform is an important area of mathematics. It is an extension of the Fourier series, in which all periodic functions are expressed as the sum of sine and cosine wave functions. The Fourier transform is relevant when the time period of a represented function approaches infinity. This mathematical tool decomposes a signal, which is a function of time, into its constituent frequencies. The basic properties of the Fourier transform are linearity, invertibility and periodicity, e...