Question about Fourier transformation

[Frank Einstein]

Hello everybody.

I am currently comparing fourier's transformation of one physical phenomena and a two models which seek to emulate it.

One of the models nails the frecuency and the other one even though it's displaced to higher frequencies the power (defined as 2* absolute value of fourier's coefficient) looks like the original.

If I understand correctly, the power is proportional to the amount of times the phenomenon has happened for these frequencies, so the first one is good to predict that something is happening at some frequencies, but the second is better for knowing the differences between the periods in which the phenomenon can happen.

If someone could tell me about the meaning of the power of fourier's transform so I could provide a good analysis of both models I wolud be exrtremley thankful.

Thanks for reading.

 

[marcusl]

I can't follow quite what you are saying, so I will reply with just a general explanation. The power spectral density (PSD) is given by the magnitude-squared of the Fourier coefficient. It has units of W/Hz or J, and is a measure of the energy contained in the frequency slice represented by that coefficient.