Question 1

Signal: f(t) = 5cos(2t)

5cos2x ECE301Fall2008mboutin.jpg

Periodic DT Signal: Using a sampling rate of Ts=0.1 we get the signal

Periodichw2 ECE301Fall2008mboutin.jpg

Non-Periodic DT Signal: However, the signal becomes non-periodic if we change the sampling rate to Ts=0.4

Nonperiodichw2 ECE301Fall2008mboutin.jpg


Question 2

Signal: $ f(t)=e^t $

Nonperiodicexp ECE301Fall2008mboutin.jpg

As a periodic function:

Periodicexp ECE301Fall2008mboutin.jpg

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Recent Math PhD now doing a post-doctorate at UC Riverside.

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