1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to Fourier transform this expression?

  1. Aug 10, 2014 #1
    I have this expression:
    [tex]f(\tau) = 4 \pi \int \omega ^2 P_2[\cos (\omega \tau)] P(\omega) \, \mathrm{d}w \quad [1][/tex] where [itex]P_2[/itex] is a second order Legendre polynomial, and [itex]P(\omega)[/itex] is some distribution function.

    Now I am told that, given a data set of [itex]f(\tau)[/itex], I can solve for [itex]P(\omega)[/itex] by either assuming a model for it or Fourier transforming Eq. [1]. I can do this by assuming a distribution, eg Gaussian, then putting it in the integral, but I do not understand how I can obtain [itex]P(\omega)[/itex] directly via Fourier transforming. How could I do this in say MATLAB or Mathematica?

  2. jcsd
  3. Aug 16, 2014 #2
    I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook