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

Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood