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In the first homework, I explained how <math>sin(t)</math> was periodic. However, because that is rather boring, let's take a look at <math>sin(t)-cos(2t)</math>.
 
In the first homework, I explained how <math>sin(t)</math> was periodic. However, because that is rather boring, let's take a look at <math>sin(t)-cos(2t)</math>.
  
[[Image:HW2A1_ECE301Fall2008mboutin.jpg]]
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[[Image:sincos2x_ECE301Fall2008mboutin.jpg]]
  
 
[[Image:HW2A2_ECE301Fall2008mboutin.jpg]]
 
[[Image:HW2A2_ECE301Fall2008mboutin.jpg]]
  
 
[[Image:HW2A3_ECE301Fall2008mboutin.jpg]]
 
[[Image:HW2A3_ECE301Fall2008mboutin.jpg]]

Revision as of 14:49, 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

HW2A2 ECE301Fall2008mboutin.jpg

HW2A3 ECE301Fall2008mboutin.jpg

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett