(Periodic Signals Revisited)
(Periodic Signals Revisited)
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[[Image:Samprate1_ECE301Fall2008mboutin.jpg]]
 
[[Image:Samprate1_ECE301Fall2008mboutin.jpg]]
  
<math>y[n]=sin[n] \!</math> with a sample rate of <math>pi/2 \!</math>
+
<math>y[n]=sin[n] \!</math> with a sample rate of <math>pi/4 \!</math>
 +
[[Image:Samprate2_ECE301Fall2008mboutin.jpg]]

Revision as of 19:08, 11 September 2008

Periodic Signals Revisited

1. By sampling at different frequencies the function $ y=sin(x)\! $ can appear as both periodic and non-periodic in DT. For example:

$ y(x)=sin(x) \! $ in CT Sinwave ECE301Fall2008mboutin.jpg

$ y[n]=sin[n] \! $ with a sample rate of 1 Samprate1 ECE301Fall2008mboutin.jpg

$ y[n]=sin[n] \! $ with a sample rate of $ pi/4 \! $ Samprate2 ECE301Fall2008mboutin.jpg

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

Dr. Paul Garrett