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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. | ||
| − | <math>2\pi f=frac{3}{4}</math> | + | <math>2\pi f=\frac{3}{4}</math> |
<math>f=\frac{3}{8\pi}</math> | <math>f=\frac{3}{8\pi}</math> | ||
Revision as of 12:18, 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=\frac{3}{4} $
$ f=\frac{3}{8\pi} $
Periodic DT Signal
Sampling the signal at a frequency (four times the original frequency )
