1. (20 pts.)Using the definition of the Fourier transform compute X(W) = F{X(t)} for the following...

Question

1. (20 pts.)Using the definition of the Fourier transform compute X(W) = F{X(t)} for the following two signals: a) X(t) = eat u(-1), where a > 0 . ( b) X(t) = —ii XXXXXXXXXX2u(t) — tt(t —1). Hint: using the property that COS(w) = 1 — 2 sin= L° , can you 9( . 0) mite your final result in pan (b) in terms of a fine:ion of co , and Sint' — ? 2

David · Accepted Answer

a)  ( )      (  )
 { ( )}  ∫  ( )
 { ( )}  ∫
 ∫ (    )
 [
 (    ) 
    
]

 
 
    

b)  ( )    (   )    ( )   (   )
 { ( )}   {  (   )}   {  ( )}   {  (   )}
 { ( )}      (
 
  
   ( ))   (
 
  
   ( ))      (
 
  
   ( ))
 { ( )}   (          ) (
 
  
   ( ))
 { ( )}   (       )(
 
  
   ( ))    (      )(
 
  
   ( ))
 { ( )}       (   )(
 
  
   ( ))
 ( )  
 
    

a) Using Fourier transform of 
    ( ) and time shifting 
property
 ( )        (   )
b) No,

1. (20 pts.) Using the definition of the Fourier transform compute X(W) = F{X(t)} for the following two signals: a) X(t) = eat u(-1), where a > 0 . ( b) X(t) = —ii XXXXXXXXXX2u(t) — tt(t —1). Hint:...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment