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==Part 1==
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The function I chose (at random) from homework1 can be found [[HW1.4 Miles Whittaker - Periodic and Non-Periodic Examples _ECE301Fall2008mboutin| here]].
 
The function I chose (at random) from homework1 can be found [[HW1.4 Miles Whittaker - Periodic and Non-Periodic Examples _ECE301Fall2008mboutin| here]].
  
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Notice that the first image of values (from the first sampling) are not periodic.  There is no integer 'N' such that sampling(n) = sampling(n+N).
 
Notice that the first image of values (from the first sampling) are not periodic.  There is no integer 'N' such that sampling(n) = sampling(n+N).
 
However, in the second case, this does occur.  One may observe that sampling(n) = sampling(n+10).  Thus, the second case is periodic.
 
However, in the second case, this does occur.  One may observe that sampling(n) = sampling(n+10).  Thus, the second case is periodic.
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==Part 2==
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not there yet.  I'll get to it.  promise.

Revision as of 10:38, 9 September 2008

Part 1

The function I chose (at random) from homework1 can be found here.

The function x(t) = cos(t) is periodic in CT, as its period is 2$ \pi $. However, it is not periodic in DT.

Here is the function sampled at a frequency of 5 samples/unit:


cos(t) sampled at 5 per unit
The sampling shown based on index













Here is the function sampled at $ {\pi \over 2} $ (as closely as MATLAB is able to approximate pi)


cos(t) shown sampled at pi/2 per unit
The sampling shown based on index













Notice that the first image of values (from the first sampling) are not periodic. There is no integer 'N' such that sampling(n) = sampling(n+N). However, in the second case, this does occur. One may observe that sampling(n) = sampling(n+10). Thus, the second case is periodic.

Part 2

not there yet. I'll get to it. promise.

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ECE462 Survivor

Seraj Dosenbach