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From the first two statments we can deduce that the general behavior of the system is
 
From the first two statments we can deduce that the general behavior of the system is
  
  <math>/ x(t) \rightarrow SYSTEM \rightarrow ty(-t)</math>
+
  <math>\ x(t) \rightarrow SYSTEM \rightarrow tx(-t)</math>

Revision as of 23:43, 18 September 2008

We know that:

$ \ e^{2jt} \rightarrow SYSTEM \rightarrow te^{-2jt} $
$ \ e^{-2jt} \rightarrow SYSTEM \rightarrow te^{2jt} $

We also know that the response for

$ \ cos(2t) = \frac{e^{2jt} + e^{-2jt}}{2}  $

From the first two statments we can deduce that the general behavior of the system is

$ \ x(t) \rightarrow SYSTEM \rightarrow tx(-t) $

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