(Created page with "Category:2018 Spring ECE 301 Boutin =Explanation of Sampling Theorem= The sampling theorem: 1. for x(nT) to be equally spaced samples of x(t), while n=0, +1, -1, +2, -...")
 
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  1. for x(nT) to be equally spaced samples of x(t), while n=0, +1, -1, +2, -2, ...
 
  1. for x(nT) to be equally spaced samples of x(t), while n=0, +1, -1, +2, -2, ...
 
  2. x(t) is band limited.
 
  2. x(t) is band limited.
   X(omega) = 0 for <math>|\omega|>\omega_m|</math>
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   X(<math>\omega</math>) = 0 for <math>|\omega|>\omega_m</math>
   
+
  3. <math> 2\pi/T = \omega_s > 2\omega_m</math>
 
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Revision as of 14:52, 30 April 2018


Explanation of Sampling Theorem

The sampling theorem:

1. for x(nT) to be equally spaced samples of x(t), while n=0, +1, -1, +2, -2, ...
2. x(t) is band limited.
  X($ \omega $) = 0 for $ |\omega|>\omega_m $
3. $  2\pi/T = \omega_s > 2\omega_m $

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

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