!Slides com o Exercício de Transformada inversa de Fourier

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2
ω
( )F ω
pi−pi
ω
( )θ ω
pi
2
pi
−
−pi
2
pi
1( ) ( ) ( )
2
j tF f t F e d∞ ω
−∞
ω ↔ = ω ω
pi 
( )( ) ( ) jF F e θ ωω = ω
( )1( ) ( )
2
j j tf t F e e d∞ θ ω ω
−∞
= ω ω
pi 
0
2 2
0
1 2 2
2
j jj t j te e d e e d
pi pi pi
−ω ω
−pi
 
= ω+ ω
  pi  
0
0
1 j t j tje d je dpiω ω
−pi
 
= ω+ − ω
  pi  
0
0
j t j tj e e
jt jt
piω ω
−pi
 
 = −
pi   
1 ( 1)jt jtj e ej t
− pi pi = − − − pi
2( ) (1 cos )x t t
t
= − pi
pi
1 2 ( )jt jte e
t
pi − pi = − + pi