| Line 5: | Line 5: | ||
and | and | ||
| + | |||
| + | <math>X(\omega) = \int_{-\infty}^{\infty}x(t)e^{-j\omega t}dt</math> | ||
| + | |||
| + | Above equations are referred to as the Fourier transform pair. | ||
| + | |||
| + | <math>X(\omega)</math> stands for Fourier Transform and the first equation is inverse Fourier transform equation. | ||
Revision as of 08:06, 23 October 2008
Brief explanation about Fourier Transform
for the CT Fourier Transform, there are two important formulas that we have to know which are,
$ x(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty}X(\omega)e^{j\omega t} d\omega $
and
$ X(\omega) = \int_{-\infty}^{\infty}x(t)e^{-j\omega t}dt $
Above equations are referred to as the Fourier transform pair.
$ X(\omega) $ stands for Fourier Transform and the first equation is inverse Fourier transform equation.
