Time-Limited Signals

If $ x(t)=0$ for $ \left\vert t\right\vert\geq \Delta t/2$, then

$\displaystyle \Delta t\cdot\Delta \omega \geq \pi
$

where $ \Delta \omega $ is as defined above in Eq.$ \,$(C.1).


Proof: See [52, pp. 274-5].


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