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I really need help with this fourier transform please

  1. Apr 6, 2009 #1
    1. The problem statement, all variables and given/known data

    an exponentially decaying sinusoid is defined as

    f (t) = a exp (-t/towel) exp (i2(pie)vt) ; t greater than or equal to 0
    0 ; t less than zero


    2. Relevant equations

    i have to show that its fourier transform is

    F(v) = a/(2(pie)j(v-v0) + (1/towel))

    3. The attempt at a solution

    i dont know where to start, thnx to all who help
     
    Last edited: Apr 6, 2009
  2. jcsd
  3. Apr 7, 2009 #2

    tiny-tim

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    Welcome to PF!

    Hi skullofchaos! Welcome to PF! :smile:

    (it's spelt tau, not towel! :biggrin: oh, and have one: τ and a pi: π and a ≥ :wink:)

    Hint: use the convolution formula.
     
  4. Apr 12, 2009 #3
    i am in 2nd year uni and i have not done any university maths so i am not sure what to do, this question is on my physics assignment
     
  5. Apr 13, 2009 #4

    tiny-tim

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  6. Apr 13, 2009 #5
    thnx for the reply, but sorry, none of it makes sense to me, um, what do i have to start with and my maths is a bit rusty (i have not done maths since year 12)
     
  7. Apr 13, 2009 #6

    tiny-tim

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    well, how much do you know?

    the question says "show that its fourier transform is …"

    do you know what a fourier transform is?
     
  8. Apr 13, 2009 #7
    we did not do much on fourier transforms and the lecture notes and text book dont really help at all. i know how to integrate and differentiate - basic differential calculus
     
  9. Apr 13, 2009 #8

    tiny-tim

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    well, you'll need to do extensive reading on fourier transforms then …

    it's a whole subject in itself, and not the sort of thing we can give a quick introduction to :redface:

    try wikipedia first, and then your text book (which book is it?) … if that isn't enough, you'll need to find a better text book :smile:
     
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