Difference between revisions of "Talk:Video/The imaginary number i and the Fourier Transform"

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(Created page with "Fourier Transform is an equivalent representation of the signal. <math>\hat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,dx,\quad \forall\ \xi \in \mathbb R.</math>")
 
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Fourier Transform is an equivalent representation of the signal.
Fourier transform integral
<math>\hat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,dx,\quad \forall\ \xi \in \mathbb R.</math>
<math>\hat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,dx,\quad \forall\ \xi \in \mathbb R.</math>
Example for Fourier transform:
We have a signal called x(t) in time we will represent it in terms of the time domain. We also can represent it in another way which is called x(f) we will represent it in terms of the frequency domain.
this is what's called transformation. Fourier Transform is an equivalent representation of the signal.

Revision as of 14:52, 25 July 2022

Fourier transform integral

Example for Fourier transform: We have a signal called x(t) in time we will represent it in terms of the time domain. We also can represent it in another way which is called x(f) we will represent it in terms of the frequency domain.

this is what's called transformation. Fourier Transform is an equivalent representation of the signal.