(New page: == Part 1 == <b>Changing a Periodic Continuous Time Signal to a Non-Periodic Discrete Time Signal</b> The signal I chose for this part can be found [[HW1.4 Wei Jian Chan - Periodic and No...)
 
 
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== Part 2 ==
 
== Part 2 ==
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The signal I chose for this part can be found [[HW1.4 Jessica Sparks _ECE301Fall2008mboutin| here]]
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The function <math>e^{-t}(cos(t) + jsin(t))</math> can be made periodic by literally repeating the signal in MATLAB.  The result of this would look like the following signal:
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[[Image:Dt repeat ezarowny_ECE301Fall2008mboutin.jpg]]

Latest revision as of 15:07, 11 September 2008

Part 1

Changing a Periodic Continuous Time Signal to a Non-Periodic Discrete Time Signal

The signal I chose for this part can be found here.

When the periodic Continuous Time signal $ cos(t) $ is placed into Discrete Time, it is no longer periodic (as seen below).

File:Cos(t) ezarowny ECE301Fall2008mboutin.jpg

Changing a Periodic Continuous Time Signal to a Periodic Discrete Time Signal

In order to make $ cos(t) $ a periodic signal in Discrete Time, we would have to use a different sampling frequency than above. Using $ \frac{\pi}{8} $ we obtain the following periodic signal:

Cosine periodic dt zarowny ECE301Fall2008mboutin.jpg

Part 2

The signal I chose for this part can be found here

The function $ e^{-t}(cos(t) + jsin(t)) $ can be made periodic by literally repeating the signal in MATLAB. The result of this would look like the following signal:

Dt repeat ezarowny ECE301Fall2008mboutin.jpg

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