(Sampling Theorem)
(Sampling Theorem)
 
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=== Sampling ===
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The word "sampling" is used in various fields but in this area(electrical engineering), we should get some sample signal at the poing during time interval and according to the signal data, we can make the sampling data.
 
=== Sampling Theorem===
 
=== Sampling Theorem===
 
If the signal is sampled every T seconds, then x(t) can be reconstructed from these samples with no distortion.
 
If the signal is sampled every T seconds, then x(t) can be reconstructed from these samples with no distortion.
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<math>\omega_s = \frac{2\pi}{T} : sampling frequency</math>  
 
<math>\omega_s = \frac{2\pi}{T} : sampling frequency</math>  
  
<math>x_p(t) = x(t)p(t)</math>
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<math>x_p(t) = x(t)p(t) </math>
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[[Image:HAN99_ECE301Fall2008mboutin.JPG]]

Latest revision as of 12:48, 9 November 2008

Sampling

The word "sampling" is used in various fields but in this area(electrical engineering), we should get some sample signal at the poing during time interval and according to the signal data, we can make the sampling data.

Sampling Theorem

If the signal is sampled every T seconds, then x(t) can be reconstructed from these samples with no distortion.

period T :sampling interval

p(t) : sampling function

$ \omega_s = \frac{2\pi}{T} : sampling frequency $

$ x_p(t) = x(t)p(t) $

HAN99 ECE301Fall2008mboutin.JPG

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