(1. Creating two DT signals (one periodic and one non-periodic) from a periodic CT signal)
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Sampling every <math>t = \pi</math>
 
Sampling every <math>t = \pi</math>
 
[[Image:Samp pi_ECE301Fall2008mboutin.jpg]]
 
[[Image:Samp pi_ECE301Fall2008mboutin.jpg]]
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 +
As can be seen from the graph, the values of x[n] are periodic because they repeat after every period of <math>t = 2\pi</math>
  
 
==Non Periodic Signal==
 
==Non Periodic Signal==
 
Sampling every t = 1
 
Sampling every t = 1
 
[[Image:Samp1_ECE301Fall2008mboutin.jpg]]
 
[[Image:Samp1_ECE301Fall2008mboutin.jpg]]

Revision as of 07:50, 11 September 2008

1. Creating two DT signals (one periodic and one non-periodic) from a periodic CT signal

Let x(t) = sin (t), which is a periodic CT signal

x(t) = sin (t) Sin1 ECE301Fall2008mboutin.jpg


Sampling every t = 0.01 Samp0 ECE301Fall2008mboutin.jpg


Periodic Signal

Sampling every $ t = \pi $ Samp pi ECE301Fall2008mboutin.jpg

As can be seen from the graph, the values of x[n] are periodic because they repeat after every period of $ t = 2\pi $

Non Periodic Signal

Sampling every t = 1 Samp1 ECE301Fall2008mboutin.jpg

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