Revision as of 08:56, 11 September 2008 by Jkkietzm (Talk)

Periodic Signals Revisited

The function chosen (by randomly clicking a name) from hw1 is y=sin(t). Found here: http://cobweb.ecn.purdue.edu/~mboutin/ECE301/Index.html

I chose to modify the signal a bit and make it y = sin(5t).

Sin5t ECE301Fall2008mboutin.png

If you plot the signal in DT sampling at 5Hz you get a non-periodic signal as follows:

Sin5tnonper ECE301Fall2008mboutin.png

It looks very close to periodic, but it does not follow the definition of x(n+N) = x(n) that was learned in class. However, there are no integer values that can be used to sample this function to create a periodic function in DT.
One can use $ pi/3 $ to sample the function and create a periodic signal.

Sin5tper ECE301Fall2008mboutin.png

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