Difference between revisions of "Fourier transform"

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Suppose that we have some function, say <math> \beta (t) </math>, that is nonperiodic and finite in duration.<br>
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This means that <math> \beta(t)=0 </math> for some <math> T_\alpha < \left | t \right | </math>

Revision as of 08:29, 8 December 2004

An initially identity that is useful: 

x(t)=\int_{-\infty}^{\infty} x(t) e^{-j2\pi ft}\, dt

Suppose that we have some function, say  \beta (t) , that is nonperiodic and finite in duration.
This means that  \beta(t)=0 for some  T_\alpha < \left | t \right |