(New page: ==Sampling Theorem== (Test question to state in your own words!) Let <math>\omega_m</math> be a non-negative number. Let x(t) be a signal with <math>X(\omega)=0</math> when <math>|\omega...) |
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Revision as of 07:46, 7 November 2008
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.
