(Specify a Fourier transform X(w))
(Inverse Fourier transform of X(w))
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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 17:38, 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} $

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