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Calculate power spectrum?

  1. May 21, 2012 #1
    Hello!

    I am doing a thesis in ecology using a two dimensional binary cellular automata. I have sampled a parameter for a number of generations and I would like to calculate the power spectrum for this data. I had been planning to use a software for this, but now it seems I have to do it manually.

    Does anyone know or have any helpful links to how this can be done?

    Grateful for any help,
    Jimmy
     
  2. jcsd
  3. May 22, 2012 #2

    Jano L.

    User Avatar
    Gold Member

    What kind of function do you have to find spectrum of?

    In physics (acoustics, optics), the power spectrum of function [itex]f(t)[/itex] is sometimes called to be the function

    [tex]
    I(\omega) = \tilde f(\omega)^* \tilde f (\omega) ,
    [/tex]

    measuring the strength of vibrations at frequency [itex]\omega[/itex].

    The function [itex]\tilde f (\omega) [/itex] is the Fourier component of the function f(t) on the time interval 0..T considered:

    [tex]
    \tilde f(\omega) = \frac{1}{T}\int_0^T f(t) e^{-i \omega t} dt.
    [/tex]
     
  4. May 23, 2012 #3
    It's a power law function. I found this site that I think will help me:

    tuvalu.santafe.edu/~aaronc/powerlaws/

    Thanks though for trying to help!
     
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