Line 14: Line 14:
 
we have,
 
we have,
  
y(t)= t cos(-2t)
+
    y(t)= t cos(-2t)
    = t cos(2t)    ( as we know that  cos(-t)= cos (t))
+
        = t cos(2t)    ( as we know that  cos(-t)= cos (t))

Latest revision as of 14:15, 19 September 2008

The equation of the system is

y(t)= t * x(-t)

the example in the problem tells us that $ e^2jt $ = t * $ e^-2jt $

and

$ e^-2jt $ = t * $ e^2jt $

Therefore, for x(t)=cos(2t)

we have,

   y(t)= t cos(-2t)
       = t cos(2t)    ( as we know that  cos(-t)= cos (t))

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