(Periodic Signals Revisited)
(Periodic Signals Revisited)
Line 3: Line 3:
 
1.  By sampling at different frequencies the function <math>y=sin(x)\!</math> can appear as both periodic and non-periodic in DT.  For example:
 
1.  By sampling at different frequencies the function <math>y=sin(x)\!</math> can appear as both periodic and non-periodic in DT.  For example:
  
<math>y=sin(x) \!</math> in CT
+
<math>y(x)=sin(x) \!</math> in CT
 
[[Image:Sinwave_ECE301Fall2008mboutin.jpg]]
 
[[Image:Sinwave_ECE301Fall2008mboutin.jpg]]
 +
 +
<math>y[n]=sin[n] with a sample rate of 1
 +
[[Image:samprate1_ECE301Fall2008mboutin.jpg]]

Revision as of 19:01, 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 [[Image:samprate1_ECE301Fall2008mboutin.jpg]] $

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

Dr. Paul Garrett