Thread: Fourier Transform help.

Find the fourier Transform of

1) e^(-|t|-1)

2) e^(-|t-1|)

if fourier transform of e^(-|t|) = 2/(1+4*pi^2*s^2)

My answers were

1) 2/e(1+4*pi^2*s^2)

2) e^(-2*pi*i*s).2/(1+4*pi^2*s^2)

This is most likely incorrect:
anybody knows the answers...

How are you defining your Fourier transform?

Originally Posted by Dreamer78692

Find the fourier Transform of

1) e^(-|t|-1)

2) e^(-|t-1|)

if fourier transform of e^(-|t|) = 2/(1+4*pi^2*s^2)

My answers were

1) 2/e(1+4*pi^2*s^2)

2) e^(-2*pi*i*s).2/(1+4*pi^2*s^2)

This is most likely incorrect:
anybody knows the answers...

Tell us which of the definitions of the FT you are using.

For the first observe that then use that in the definition of the FT and the known FT of

For the second use a change of variable

CB

Sorry I did not explain it right...
I just wanted to know the difference between the 2.

Now, I think I get it I think...

For (1) e^-1 is just a constant and for (2) I have to use the shifting rule.... right.

Thanks for your help.