Contents
Part 1
Given the Signal$ y=cos(pi*t) $
One can make 2 DT Signals which are periodic and non periodic.Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below.
If the sampling frequency is 2 then the Signal is periodic as seen below.
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
The non Periodic CT Signal is 2^t I made this periodic my shift 2^t from 0 to 4 several times as seen in the picture below
MATLAB CODE
t=0:.001:4; y=2.^t; plot(t,y,t+4,y,t+8,y,t+12,y,t+16,y)