Part 1
Given the Signal <math>y=cos(pi*t)</math>, One can make 2 DT Signals one that is periodic and one that is nonperiodic.
Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below.
[[Image:nonper_ECE301Fall2008mboutin.jpg]]
If the sampling frequency is 2 then the Signal is periodic as seen below.
[[Image:per_ECE301Fall2008mboutin.jpg]]
== MATLAB CODE ==
t=[1 2 3 4 5 6 7 8 9 10 11 12 13]
y=cos(pi.*t)
figure(1)
plot(t,y,'.')
xlabel('Time')
ylabel('cos(pi*t')
title('NonPeriodic Signal)')
t=t.*(2)
y=cos(pi.*t)
figure(2)
plot(t,y,'.')
xlabel('Time')
ylabel('cos(pi*t')
title('NonPeriodic Signal)')
== Part 2 ==
