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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> | |
<math>when X(t) = x(t-t_0), X(w) = e^{-jwt_0}X(jw)</math><br><br> | <math>when 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 17:48, 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\, $
