The Fourier Transform possesses the following properties: 1) Linearity. 2) Time shifting. 3) Conjugation and Conjugation symmetry. 4) Differentiation.
What is Fourier transform and its applications?
Fourier Transform is a mathematical model which helps to transform the signals between two different domains, such as transforming signal from frequency domain to time domain or vice versa. Fourier transform has many applications in Engineering and Physics, such as signal processing, RADAR, and so on.
What is the main purpose of Fourier transform?
The Fourier transform can be used to interpolate functions and to smooth signals. For example, in the processing of pixelated images, the high spatial frequency edges of pixels can easily be removed with the aid of a two-dimensional Fourier transform.