How Can I Calculate the Power Spectrum for Data in Binary Cellular Automata?

[goldtree]

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

 

[Jano L.]

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]

 

[goldtree]

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!