(New page: == Differentiation == x(t) = <math>\int\limits_{-\infty}^{\infty}X(jw)e^{(-\jmath wt)}dt</math> diffrentiate both sides x'(t) = d(<math>\int\limits_{-\infty}^{\infty}X(jw)e^{(-\jmath w...) |
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x'(t) = d(<math>\int\limits_{-\infty}^{\infty}X(jw)e^{(-\jmath wt)}dt</math>) | x'(t) = d(<math>\int\limits_{-\infty}^{\infty}X(jw)e^{(-\jmath wt)}dt</math>) | ||
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| + | x'(t) = j*w*(j*w) | ||
| + | |||
| + | importance | ||
| + | |||
| + | replacing a differentiation operation in the time domain with a multiplication operation in the frequecy domain. | ||
Revision as of 04:34, 9 July 2009
Differentiation
x(t) = $ \int\limits_{-\infty}^{\infty}X(jw)e^{(-\jmath wt)}dt $
diffrentiate both sides
x'(t) = d($ \int\limits_{-\infty}^{\infty}X(jw)e^{(-\jmath wt)}dt $)
x'(t) = j*w*(j*w)
importance
replacing a differentiation operation in the time domain with a multiplication operation in the frequecy domain.
