(New page: The input to the system is e^2jt which can be re-written as: cos(t)+2jsin(t). Its response to this signal is t*e^-2jt which can be rewritten as: t*cos(t)-2j*sin(...)
 
 
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The input to the system is e^2jt which can be re-written as:
+
The input to the system is <math>e^{2jt}</math> which can be re-written as:
 
             cos(t)+2jsin(t).   
 
             cos(t)+2jsin(t).   
  
Its response to this signal is t*e^-2jt which can be rewritten as:
+
Its response to this signal is <math>t*e^{-2jt}</math> which can be rewritten as:
 
             t*cos(t)-2j*sin(t)
 
             t*cos(t)-2j*sin(t)
  
 
Since the system is linear, the input of cos(2t) should yeild a result of:
 
Since the system is linear, the input of cos(2t) should yeild a result of:
 
             t*cos(2t)
 
             t*cos(2t)

Latest revision as of 06:27, 17 September 2008

The input to the system is $ e^{2jt} $ which can be re-written as:

           cos(t)+2jsin(t).  

Its response to this signal is $ t*e^{-2jt} $ which can be rewritten as:

           t*cos(t)-2j*sin(t)

Since the system is linear, the input of cos(2t) should yeild a result of:

           t*cos(2t)

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