(New page: ==Computing the Inverse Fourier Transform== <math>\ X(\omega)= 8 \pi w \delta(w-9) + 2 \pi w^{3} \delta(w-4 \pi) </math> The inverse Fourier transform is defined as: <math> x(t) = int_{...) |
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The inverse Fourier transform is defined as: | The inverse Fourier transform is defined as: | ||
| − | <math> x(t) = int_{- | + | <math> x(t) = \int_{-infty}^{infty} \frac{X(w)}{2 \pi} e^{jwt} dw </math> |
Revision as of 17:19, 8 October 2008
Computing the Inverse Fourier Transform
$ \ X(\omega)= 8 \pi w \delta(w-9) + 2 \pi w^{3} \delta(w-4 \pi) $
The inverse Fourier transform is defined as:
$ x(t) = \int_{-infty}^{infty} \frac{X(w)}{2 \pi} e^{jwt} dw $
