(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...) |
(→Sampling Theorem) |
||
Line 13: | Line 13: | ||
then x(t) can be uniquely recovered from its samples. | then x(t) can be uniquely recovered from its samples. | ||
+ | |||
+ | |||
+ | go back to: [[Homework 8_ECE301Fall2008mboutin]] |
Latest revision as of 06:46, 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.
go back to: Homework 8_ECE301Fall2008mboutin