(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 [[Final_ECE301Fall2008mboutin| Final Exam Summary]]

Latest revision as of 10:02, 11 December 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 Final Exam Summary

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal