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].


Next Section:
Time-Bandwidth Products Unbounded Above
Previous Section:
Duration and Bandwidth as Second Moments