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Math Help - fourier transform integration problem

  1. #1
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    fourier transform integration problem

    The problem is t(x)=I(0)exp(-a(x)) which is also roughly equal to =I(0)[1-a(x)] but what if we have s(x)=t(xo-m*cos(wt))

    find the fourier transform of s(x):
    which is given by:
    S(y)= int(s(x)*exp(-i*x*y))dx
    = int(t(xo-m*cos(wt)*exp(-i*xo*y))dxo
    and now is where i get lost the next line in the solution is:
    = exp(-i*m*y*cos(wt))*int(t(xo)*exp(-i*xo*y))dxo
    i dont understand how they took out the mcos(wt) from the integration, can someone help giving me direction to get to this line before continuing
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  2. #2
    Super Member girdav's Avatar
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    Re: fourier transform integration problem

    Your post is difficult to read. Can you rewrite it using Latex?
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  3. #3
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    Re: fourier transform integration problem

     t(x)=I(0)e^-^a^(^x^) =I(0)[1-a(x)]

    we have we have  s(x)=t(xo-mcos(wt))


    fourier transform
     \int s(x)e^-^i^x^y dx =\int t(xo-mcos(wt))e^-^i^x^o^y dxo
     e^-^i^y^m^c^o^s^w^t \int t(xo)e^-^i^x^o^y dxo this is the line i am lost line ,i dont understand how they took out the mcos(wt) from the integration, can someone help giving me direction to get to this line before continuing
    Last edited by zak9000; April 7th 2012 at 03:52 PM.
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