HW2-A Scott Erdbruegger ECE301Fall2008mboutin - Rhea

Part 1

Given the Signal 

 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.

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)