(Part 1)
(Part 1)
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If sampled at <math>period=0.1</math>, the function
 
If sampled at <math>period=0.1</math>, the function
  
<math>\,y[n]=x[\frac{n}{10}]=2cos(\frac{2\pi n}{10})\,</math>
+
<math>\,y[n]=x[0.1n]=2cos(\frac{2\pi n}{10})\,</math>
  
 
would be periodic, since
 
would be periodic, since

Revision as of 10:02, 11 September 2008

Part 1

The function was chosen at random from HW1: HW1.4 Hang Zhang - Periodic vs Non-period Functions_ECE301Fall2008mboutin

$ \,x(t)=2cos(2\pi t)\, $


Periodic Signal in DT:

If sampled at $ period=0.1 $, the function

$ \,y[n]=x[0.1n]=2cos(\frac{2\pi n}{10})\, $

would be periodic, since

$ \,y[n]=y[n+10N], \forall N\in Z\, $

TODO: Add MATLAB plot of the DT function

Part 2

Alumni Liaison

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

Dr. Paul Garrett