Question

Determine second derivative of fourier transform​

Answer 1

Answer:

Function, f(t) Fourier Transform, F()

Definition of Inverse Fourier Transform

f t F e d j t ( ) 2

1 ( )

Definition of Fourier Transform

F f t e dt jt () ( )

( ) 0 f t t 0 ( ) j t F e

j t f t e 0 ( ) ( ) F 0

f (t) ( ) 1

F

F(t) 2f ()

n

n

dt

d f (t) ( j) F() n

( jt) f (t) n

n

n

d

d F

()

t

f ( )d (0) ( ) ( )  

F

j

F

(t) 1

j t

e 0 2 ( )   0

sgn (t)

j

2

Explanation: