Fourier

Restriction of Fourier Transform

Restriction of Fourier Transform
  1. What are the limits of Fourier Transform?
  2. What functions are Fourier transformable?
  3. What is the condition for Fourier integral?

What are the limits of Fourier Transform?

The limits for the Fourier transform is from -infinity to +infinity but when we do Fourier sine or cosine transform, we take limits from 0 to +infinity and also take a 2 common outside.

What functions are Fourier transformable?

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 condition for Fourier integral?

The Fourier integral theorem states that if (i) satisfies the Dirichlet conditions (Section 2.5.6) in every finite interval , and. (ii) ∫ − ∞ ∞ | f ( x ) | d x converges, then. (3.20)

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