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Note how much more exciting <math>sin(t)-cos(2t)</math> is than <math>sin(t)</math>. Here the sampling frequency is very small, on the order of <math>10^4</math>
  
 
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Revision as of 14:51, 12 September 2008

Part A: Periodic Signals Revisited...Periodic Signals Revisited...Periodic Signals Revisited

As we discussed in class, a function $ x(t) $ is periodic if $ x(t+T)= x(t) $ , where T is a multiple of the fundamental period, or smallest period.

In the first homework, I explained how $ sin(t) $ was periodic. However, because that is rather boring, let's take a look at $ sin(t)-cos(2t) $.

Sincos2x ECE301Fall2008mboutin.jpg

Note how much more exciting $ sin(t)-cos(2t) $ is than $ sin(t) $. Here the sampling frequency is very small, on the order of $ 10^4 $

HW2A2 ECE301Fall2008mboutin.jpg

HW2A3 ECE301Fall2008mboutin.jpg

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett