Engineering Handbook/Mathematics/Fourier Transformation

Fourier Transform

 * $$F(j\omega) = \mathcal{F} \left\{f(t) \right\} = \int_{-\infty}^\infty f(t) e^{-j\omega t}dt$$

Inverse Fourier Transform

 * $$\mathcal{F}^{-1}\left\{F(j\omega) \right\}

= f(t) = \frac{1}{2\pi}\int_{-\infty}^\infty F(j\omega) e^{j\omega t} d\omega$$

Table of Fourier Transforms
This table contains some of the most commonly encountered Fourier transforms.