MATLAB: Power density spectrum F(jω) to time domain input signal F(t)

Question

Hi there,

For this problem, I have the input signal's Power density spectrum [S(jω)] and its Standard deviation [σ] this is all the given information. I need to get the signal in time domain as [h(t)].

How can I do this either using MATLAB code or Simulink blocks?.

I would be grateful for any help, thanks in advance.

Answer 1

Hi Mahmoud

this is John BG ( jgb2012@sky.com )

May the readers of the question know the following:

1.

from

http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782011000300005

instead of getting the pavement roughness spectral density time response, wouldn't it make more sense to aim at the [x y] response after applying the vehicle signal?

2.

the above source shows pavement roughness PSD with units [m^3], the PSD of your question Sh(w) has units [cm^2*s] . Is the model of your question 1D or 2D?

3.

from

http://www.slac.stanford.edu/econf/C110825/hepmad11_talks/randriatefison.pdf

the inverse transform of the pavement roughness is a surface, not a time signal, right? so you are asking for the surface that has the PSD in the question table?