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Math Help - Fourier Transform help.

  1. #1
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    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...
    Last edited by mr fantastic; October 7th 2010 at 02:18 AM. Reason: Edited title.
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  2. #2
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    How are you defining your Fourier transform?
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Dreamer78692 View Post
    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 e^{-|t|-1}=e^{-|t|}e^{-1} then use that in the definition of the FT and the known FT of e^{-|t|}

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

    CB
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  4. #4
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    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.
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