Part 1

Periodic signal Sampling the signal at a frequency that is a rational multiple of the frequency of the signal will result in a periodic Discrete Time signal. Sampling the signal at a frequency that is not a rational multiple of the frequency of the signal will result in a non-periodic Discrete Time signal.

My all time favorite CT periodic signal- Sin(t)

t  = 0:0.02:10; 
x = sin(t);
plot(t,x)
grid on

File:SIN.jpg

Periodic signal turned Non-Periodic, DT non-periodic signal

t  = 0:0.5:10; 
x = sin((1/(2*pi))*t);
plot(t,x)
grid on
stem(t,x)

File:SINdt.jpg

Part 2

Non-Periodic Signal and Non-Periodic Signal turned Periodic

Using x(t) = t

Rampsjp ECE301Fall2008mboutin.JPG

Using image from Jacob Pfister.

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett