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Time-Limited Signals

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


$\displaystyle \Delta t\cdot\Delta \omega \geq \pi$ (B.69)

where $ \Delta\omega$ is as defined above in (B.62).
Proof: See [202, pp. 274-5].
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