| Line 6: | Line 6: | ||
|<math>Since\text{ } k\delta (kt)=\delta (t),\forall k\ne 0</math> | |<math>Since\text{ } k\delta (kt)=\delta (t),\forall k\ne 0</math> | ||
|- | |- | ||
| − | |<math>X(f)=\delta (f-\frac{\ | + | |<math>X(f)=\delta (f-\frac{\omega_0}{2\pi})</math> |
|} | |} | ||
Revision as of 14:55, 9 September 2010
| CTFT of a complex exponential |
| $ X(f)= \mathcal{X}(2\pi f)=2\pi \delta (2\pi f-\omega_0) $ |
| $ Since\text{ } k\delta (kt)=\delta (t),\forall k\ne 0 $ |
| $ X(f)=\delta (f-\frac{\omega_0}{2\pi}) $ |
