10/10,13,16,17 - Fourier Transform Properties: Difference between revisions
Jump to navigation
Jump to search
(→??) |
|||
Line 39: | Line 39: | ||
| |
| |
||
|<math>=X(f-f_0)\,\!</math> |
|<math>=X(f-f_0)\,\!</math> |
||
|} |
|||
==??== |
|||
{| border="0" cellpadding="0" cellspacing="0" |
|||
|- |
|||
|<math>F[cos(2\pi f_0\,t)\cdot x(t)]</math> |
|||
|<math>=\int_{-\infty}^{\infty}\frac{e^{j\,2\pi f_0\,t} + e^{-j\,2\pi f_0\,t}}{2}x(t)\,e^{-j\,2\pi f\,t}\,dt</math> |
|||
|- |
|||
| |
|||
|<math>=\frac{1}{2}\int_{-\infty}^{\infty}x(t)\left[e^{-j\,2\pi (f-f_0)\,t} + e^{-j\,2\pi (f+f_0)\,t}\right]\,dt</math> |
|||
|- |
|||
| |
|||
|<math>=\frac{1}{2}X(f-f_0)+\frac{1}{2}X(f+f_0)</math> |
|||
|} |
|} |
Revision as of 18:23, 21 November 2008
Properties of the Fourier Transform
Linearity
Time Invariance (Delay)
Let and | ||