(→Inverse Fourier Transform) |
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<math> x[n] = \int_{-\infty}^\infty \delta (\omega - \pi)e^{j\omega t} dw </math> | <math> x[n] = \int_{-\infty}^\infty \delta (\omega - \pi)e^{j\omega t} dw </math> | ||
| + | |||
| + | <math> x[n] = \int_{\pi} e^{j\omega t} dw </math> | ||
| + | |||
| + | <math> x[n] = e^{j\pi t} </math> | ||
Revision as of 19:07, 8 October 2008
Inverse Fourier Transform
$ \chi(\omega) = 2 \pi \sigma (\omega - \pi) $
$ x[n] = \frac{1}{2\pi}\int_{-\infty}^{\infty} 2\pi \delta (\omega - \pi)e^{j\omega t} dw $
$ x[n] = \int_{-\infty}^\infty \delta (\omega - \pi)e^{j\omega t} dw $
$ x[n] = \int_{\pi} e^{j\omega t} dw $
$ x[n] = e^{j\pi t} $
