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. <pre> [[Image:nonper_ECE301Fall2008mboutin.jpg]] <pre> If the sampling frequency is 2 then the Signal is periodic as seen below. <pre> [[Image:per_ECE301Fall2008mboutin.jpg]] == MATLAB CODE == <pre> 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)')