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<math> X(w) = \frac{2sin{3(w-2\pi)}}{w-2\pi}\,</math><br><br>
 
<math> X(w) = \frac{2sin{3(w-2\pi)}}{w-2\pi}\,</math><br><br>
 
We already knew that when <math>  x(t) = \frac{sinWt}{\pi t}, X(w) = 1 for |w|<W. \,</math><br><br>
 
We already knew that when <math>  x(t) = \frac{sinWt}{\pi t}, X(w) = 1 for |w|<W. \,</math><br><br>
<math>when x(t) = x(t-t_0), X(w) = e^{-jwt_0}X(jw)</math><br><br>   
+
when<math> x(t) = x(t-t_0), X(w) = e^{-jwt_0}X(jw)</math><br><br>   
 
W is 3 , and this was delayed <math>2\pi\,</math><br><br>
 
W is 3 , and this was delayed <math>2\pi\,</math><br><br>

Revision as of 17:49, 7 October 2008

$ X(w) = \frac{2sin{3(w-2\pi)}}{w-2\pi}\, $

We already knew that when $ x(t) = \frac{sinWt}{\pi t}, X(w) = 1 for |w|<W. \, $

when$ x(t) = x(t-t_0), X(w) = e^{-jwt_0}X(jw) $

W is 3 , and this was delayed $ 2\pi\, $

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Ruth Enoch, PhD Mathematics