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(1) <math>\frac{dx(t)}{dt} \rightarrow j\omega \Chi (\omega)</math> | (1) <math>\frac{dx(t)}{dt} \rightarrow j\omega \Chi (\omega)</math> | ||
| − | (2) <math>\int_{-\infty}{t}x(\tau)d\tau \rightarrow \frac{1}{j\omega}\Chi (\omega) + \pi \Chi (0) \delta (\omega)</math> | + | (2) <math>\int_{-\infty}^{t}x(\tau)d\tau \rightarrow \frac{1}{j\omega}\Chi (\omega) + \pi \Chi (0) \delta (\omega)</math> |
Revision as of 18:15, 8 October 2008
Differentiation/Integration
(1) $ \frac{dx(t)}{dt} \rightarrow j\omega \Chi (\omega) $
(2) $ \int_{-\infty}^{t}x(\tau)d\tau \rightarrow \frac{1}{j\omega}\Chi (\omega) + \pi \Chi (0) \delta (\omega) $
