Fourier

$\tt ifft()$ function - absolute vs real form

$\tt ifft()$ function - absolute vs real form
  1. What is the absolute value of Fourier transform?
  2. What is the purpose of Fourier transform?
  3. Why Fourier transform is used in signal processing?

What is the absolute value of Fourier transform?

For each frequency, the magnitude (absolute value) of the complex value represents the amplitude of a constituent complex sinusoid with that frequency, and the argument of the complex value represents that complex sinusoid's phase offset. If a frequency is not present, the transform has a value of 0 for that frequency.

What is the 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.

Why Fourier transform is used 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.

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