1. ## 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)

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:

2. How are you defining your Fourier transform?

3. 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)

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

For the first observe that $\displaystyle e^{-|t|-1}=e^{-|t|}e^{-1}$ then use that in the definition of the FT and the known FT of $\displaystyle e^{-|t|}$

For the second use a change of variable $\displaystyle u=t-1$

CB

4. 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.