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Sampling the signal at a frequency that is an integer multiple of the frequency of the signal will result in a periodic DT signal. Sampling the signal at a frequency that is not an integer multiple of the frquency of the signal will result in a non-periodic DT signal.
 
Sampling the signal at a frequency that is an integer multiple of the frequency of the signal will result in a periodic DT signal. Sampling the signal at a frequency that is not an integer multiple of the frquency of the signal will result in a non-periodic DT signal.
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<math>2*\pi*f=3/4</math>
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<math>f=\frac{3}{8*\pi}</math>
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==Periodic DT Signal==
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Sampling the signal at a frequency (four times the original frequency )

Revision as of 12:17, 11 September 2008

Periodic CT Signal

In HW1, Kathleen Schremser posted the following periodic CT signal:

$ x(t)\;=\;sin(\frac{3}{4}t) $

Sampling the signal at a frequency that is an integer multiple of the frequency of the signal will result in a periodic DT signal. Sampling the signal at a frequency that is not an integer multiple of the frquency of the signal will result in a non-periodic DT signal.

$ 2*\pi*f=3/4 $

$ f=\frac{3}{8*\pi} $

Periodic DT Signal

Sampling the signal at a frequency (four times the original frequency )

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