(→Inverse Fourier transform of X(w)) |
(→Specify a Fourier transform X(w)) |
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== Specify a Fourier transform <math>X(w)</math> == | == Specify a Fourier transform <math>X(w)</math> == | ||
| − | :<math> X(w)=\frac{1}{4+ | + | :<math> X(w)=\frac{1}{4+w} </math> |
== Inverse Fourier transform of <math>X(w)</math>== | == Inverse Fourier transform of <math>X(w)</math>== | ||
Revision as of 18:52, 8 October 2008
Specify a Fourier transform $ X(w) $
- $ X(w)=\frac{1}{4+w} $
Inverse Fourier transform of $ X(w) $
- $ \begin{align} x(t)&=\frac{1}{2\pi}\int_{-\infty}^{\infty}X( \omega)e^{j\omega t}d\omega \\& =\frac {1}{2\pi}\int_{-\infty}^{\infty}\left (\frac{1}{4+w}\right )e^{j\omega t}d\omega \end{align} $
