(New page: ==Part 1== Periodic signal Periodic signal turned Non-Periodic ==Part 2== Non-Periodic Signal Non-Periodic Signal turned Periodic)
 
(Part 2)
 
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==Part 1==
 
==Part 1==
 
Periodic signal
 
Periodic signal
Periodic signal turned Non-Periodic
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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.
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My all time favorite CT periodic signal- Sin(t)
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<pre>
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t  = 0:0.02:10;
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x = sin(t);
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plot(t,x)
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grid on
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</pre>
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[[image: SIN.jpg]]
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Periodic signal turned Non-Periodic, DT non-periodic signal
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<pre>
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t  = 0:0.5:10;
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x = sin((1/(2*pi))*t);
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plot(t,x)
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grid on
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stem(t,x)
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</pre>
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[[image: SINdt.jpg]]
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==Part 2==
 
==Part 2==
Non-Periodic Signal
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Non-Periodic Signal and Non-Periodic Signal turned Periodic
Non-Periodic Signal turned Periodic
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Using x(t) = t
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[[Image:Rampsjp_ECE301Fall2008mboutin.JPG]]
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Using image from Jacob Pfister.

Latest revision as of 16:10, 12 September 2008

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