(New page: == Specify a Fourier transform <math>X(w)</math> == :<math> </math> == Inverse Fourier transform of <math>X(w)</math>== <math>\begin{align} x(t)&=\frac{1}{2\pi}\int_{-\infty}^{\inft...) |
(→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> | + | :<math> X(w)=\frac{1}{4+jw} </math> |
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== Inverse Fourier transform of <math>X(w)</math>== | == Inverse Fourier transform of <math>X(w)</math>== | ||
<math>\begin{align} x(t)&=\frac{1}{2\pi}\int_{-\infty}^{\infty}X(j \omega)e^{j\omega t}d\omega | <math>\begin{align} x(t)&=\frac{1}{2\pi}\int_{-\infty}^{\infty}X(j \omega)e^{j\omega t}d\omega | ||
Revision as of 18:37, 8 October 2008
Specify a Fourier transform $ X(w) $
- $ X(w)=\frac{1}{4+jw} $
Inverse Fourier transform of $ X(w) $
$ \begin{align} x(t)&=\frac{1}{2\pi}\int_{-\infty}^{\infty}X(j \omega)e^{j\omega t}d\omega \end{align} $
