Fourier transform of hat function

[captainjack2000]

Homework Statement

obtaining the Fourier transform of the hat function
h(x) = 1 if modulus of x</= 1
=0 otherwise

Homework Equations

F(k)=1/sqrt(2*PI) *integral from -1 to 1 of exp(ikx)

The Attempt at a Solution

I've carried through the transform and got an answer of
sqrt(2/PI)*sinc(k)
could someone tell me if this is correct please?

 

[tiny-tim]

obtaining the Fourier transform of the hat function
h(x) = 1 if modulus of x</= 1
=0 otherwise
…
F(k)=1/sqrt(2*PI) *integral from -1 to 1 of exp(ikx)

Hi captainjack2000!

(have a pi: π and a ≤ and a √ and an ∫ and try using the X² tag just above the Reply box )

Yes, that looks good … see http://en.wikipedia.org/wiki/Rectangular_function