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Thread Subject:
Fourier spectrum - ground motion

Subject: Fourier spectrum - ground motion

From: stef

Date: 1 Aug, 2013 14:09:08

Message: 1 of 2

Hello,
I have ground motion data of an earthquake and I would like to represent them in a frequency domain. How could I do? I know that I have to use fft, but I did not understand very well the examples that I found on internet.
Thank you for your help in advance


The Fourier spectrum that I aspect is:

http://scrooge.mi.ingv.it/ItacaNet/CadmoDriver?_action_do_single=1&_criteria=CZ003AND%20CZ003AND%20CZ003AND%20CZ003AND%20CZ003AND%20CZ003AND%20CZ001%3d%20AZ033digitizer_installation_start_timeIAZ0191976-06-08%2000%3a00%3a00%27CZ001%3d%20AZ014itaca_event_idIAZ012IT-1976-0027%27CZ001%3d%20AZ013location_codeIAZ00200%27CZ001%3d%20AZ008net_codeIAZ0013%27CZ001%3d%20AZ016orientation_codeIAZ003HNE%27CZ001%3d%20AZ030sensor_installation_start_timeIAZ0191976-06-08%2000%3a00%3a00%27CZ001%3d%20AZ012station_codeIAZ003GMN%27&_page=ACC_Waveform_Component_Diagrams&_rock=INVALID&_state=find&_tabber=1&_token=NULLNULLNULLNULL


and the data are:

0.000000e+00
5.750000e-09
2.723750e-07
8.026250e-07
1.599275e-06
2.665100e-06
4.002875e-06
5.615400e-06
7.505500e-06
9.676000e-06
1.212975e-05
1.486960e-05
1.789840e-05
2.121903e-05
2.483437e-05
2.874735e-05
3.296085e-05
3.747780e-05
4.230113e-05
4.743377e-05
5.287870e-05
5.863887e-05
6.471727e-05
7.111690e-05
7.784075e-05
8.489182e-05
9.227315e-05
9.998777e-05
1.080387e-04
1.164291e-04
1.251618e-04
1.342401e-04
1.436670e-04
1.534456e-04
1.635790e-04
1.740703e-04
1.849227e-04
1.961391e-04
2.077229e-04
2.196771e-04
2.320050e-04
2.447095e-04
2.577940e-04
2.712616e-04
2.851155e-04
2.993589e-04
3.139950e-04
3.290270e-04
3.444581e-04
3.602916e-04
3.765306e-04
3.931785e-04
4.102383e-04
4.277135e-04
4.456072e-04
4.639227e-04
4.826633e-04
5.018322e-04
5.214327e-04
5.414681e-04
5.619416e-04
5.828566e-04
6.042163e-04
6.260241e-04
6.482831e-04
6.709968e-04
6.941685e-04
7.178013e-04
7.418987e-04
7.664640e-04
7.915004e-04
8.170112e-04
8.429999e-04
8.694696e-04
8.964238e-04
9.238657e-04
9.517987e-04
9.802260e-04
1.009151e-03
1.038577e-03
1.068507e-03
1.098945e-03
1.129894e-03
1.161357e-03
1.193337e-03
1.225839e-03
1.258864e-03
1.292417e-03
1.326501e-03
1.361118e-03
1.396273e-03
1.431969e-03
1.468208e-03
1.504994e-03
1.542331e-03
1.580221e-03
1.618668e-03
1.657675e-03
1.697246e-03
1.737383e-03
1.778090e-03
1.819369e-03
1.861225e-03
1.903660e-03
1.946678e-03
1.990281e-03
2.034473e-03
2.079257e-03
2.124636e-03
2.170614e-03
2.217192e-03
2.264375e-03
2.312166e-03
2.360567e-03
2.409581e-03
2.459212e-03
2.509463e-03
2.560337e-03
2.611836e-03
2.663964e-03
2.716723e-03
2.770117e-03
2.824148e-03
2.878819e-03
2.934134e-03
2.990095e-03
3.046704e-03
3.103966e-03
3.161881e-03
3.220454e-03
3.279687e-03
3.339582e-03
3.400143e-03
3.461372e-03
3.523272e-03
3.585845e-03
3.649094e-03
3.713022e-03
3.777631e-03
3.842923e-03
3.908901e-03
3.975568e-03
4.042925e-03
4.110977e-03
4.179723e-03
4.249168e-03
4.319313e-03
4.390161e-03
4.461714e-03
4.533973e-03
4.606942e-03
4.680622e-03
4.755016e-03
4.830125e-03
4.905952e-03
4.982498e-03
5.059765e-03
5.137756e-03
5.216472e-03
5.295915e-03
5.376087e-03
5.456989e-03
5.538624e-03
5.620992e-03
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6.043896e-03
6.130699e-03
6.218247e-03
6.306540e-03
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6.485366e-03
6.575902e-03
6.667188e-03
6.759225e-03
6.852013e-03
6.945554e-03
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7.134898e-03
7.230703e-03
7.327262e-03
7.424579e-03
7.522652e-03
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7.721070e-03
7.821416e-03
7.922521e-03
8.024384e-03
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8.230386e-03
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8.651497e-03
8.758670e-03
8.866602e-03
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9.084737e-03
9.194939e-03
9.305898e-03
9.417611e-03
9.530079e-03
9.643300e-03
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1.010370e-02
1.022067e-02
1.033839e-02
1.045685e-02
1.057606e-02
1.069601e-02
1.081670e-02
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Subject: Fourier spectrum - ground motion

From: stef

Date: 1 Aug, 2013 14:42:12

Message: 2 of 2

"stef" wrote in message <ktdq64$b5a$1@newscl01ah.mathworks.com>...
> Hello,
> I have ground motion data of an earthquake and I would like to represent them in a frequency domain. How could I do? I know that I have to use fft, but I did not understand very well the examples that I found on internet.
> Thank you for your help in advance
>
>
> The Fourier spectrum that I aspect is:
>
> http://scrooge.mi.ingv.it/ItacaNet/CadmoDriver?_action_do_single=1&_criteria=CZ003AND%20CZ003AND%20CZ003AND%20CZ003AND%20CZ003AND%20CZ003AND%20CZ001%3d%20AZ033digitizer_installation_start_timeIAZ0191976-06-08%2000%3a00%3a00%27CZ001%3d%20AZ014itaca_event_idIAZ012IT-1976-0027%27CZ001%3d%20AZ013location_codeIAZ00200%27CZ001%3d%20AZ008net_codeIAZ0013%27CZ001%3d%20AZ016orientation_codeIAZ003HNE%27CZ001%3d%20AZ030sensor_installation_start_timeIAZ0191976-06-08%2000%3a00%3a00%27CZ001%3d%20AZ012station_codeIAZ003GMN%27&_page=ACC_Waveform_Component_Diagrams&_rock=INVALID&_state=find&_tabber=1&_token=NULLNULLNULLNULL
>
>
> and the data are:
>
> 0.000000e+00


My script is

Assisi=load('displ_assisi.dat');
xg=Assisi(:,1); %cm
L=length(xg);
T=0.005;
Fs=1/T;
t=[0:T:T*(L-1)];
NFFT = 2^nextpow2(L);
Y = fft(xg,NFFT)/L;
f = Fs/2*linspace(0,1,NFFT/2+1);
loglog(f,2*abs(Y(1:NFFT/2+1)))

but I did not obtain the rigth values of the amplitude...

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