ًWhy we use fourier transform in most of spectrum estimation approaches?

1. What is Fourier transform used for?
2. Why do we use Fourier transform in signal processing?
3. What is the main advantage of FFT?
4. What is the use of FFT analysis?

What is Fourier transform used for?

The Fourier Transform is an important image processing tool which is used to decompose an image into its sine and cosine components. The output of the transformation represents the image in the Fourier or frequency domain, while the input image is the spatial domain equivalent.

Why do we use Fourier transform in signal processing?

The Fourier transform is a mathematical formula that transforms a signal sampled in time or space to the same signal sampled in temporal or spatial frequency. In signal processing, the Fourier transform can reveal important characteristics of a signal, namely, its frequency components.

What is the main advantage of FFT?

The main advantage of an FFT is speed, which it gets by decreasing the number of calculations needed to analyze a waveform.

What is the use of FFT analysis?

It converts a signal into individual spectral components and thereby provides frequency information about the signal. FFTs are used for fault analysis, quality control, and condition monitoring of machines or systems.