Sampling theorem ECE301Fall2008mboutin - Rhea

Sampling Theorem

(Test question to state in your own words!)

Let $ \omega_m $ be a non-negative number.

Let x(t) be a signal with $ X(\omega)=0 $ when $ |\omega|>\omega_m $ (ie a band limited signal)

Consider the samples x(nT), for n=0, 1, -1, 2, -2, ...

If

$ T<\frac{1}{2}(\frac{2\pi}{\omega_m}) $

then x(t) can be uniquely recovered from its samples.

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