Update tangled file
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@ -8,7 +8,7 @@ s = zpk('s');
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data = load('mat/data_028.mat', 'data'); data = data.data;
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% Time domain plots
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% Time domain plots of the measured voltage
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figure;
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hold on;
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@ -82,6 +82,35 @@ psd_gv = px_dc./abs(squeeze(freqresp(G0*S, f, 'Hz'))).^2;
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psd_gm = psd_gv./(2*pi*f).^2;
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% Time domain plots of the ground motion
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% We can inverse the dynamics of the geophone to convert the measured voltage into the estimated ground motion.
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est_vel = lsim(inv(G0*S)*(s/2/pi)/(1+s/2/pi), data(:, 1), data(:, 3)); % Estimated velocity above 1Hz
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est_vel = est_vel - mean(est_vel(data(:,3)>10)); % The mean value of the velocity if removed
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est_dis = lsim(1/(1+s/2/pi), est_vel, data(:, 3)); % The velocity is integrated above 1Hz
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figure;
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hold on;
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plot(data(:, 3), est_vel);
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hold off;
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xlabel('Time [s]'); ylabel('Velocity [m/s]');
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xlim([10, 100]);
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% #+NAME: fig:time_domain_velocity
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% #+CAPTION: Time domain velocity ([[./figs/time_domain_velocity.png][png]], [[./figs/time_domain_velocity.pdf][pdf]])
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% [[file:figs/time_domain_velocity.png]]
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figure;
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hold on;
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plot(data(:, 3), est_dis);
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hold off;
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xlabel('Time [s]'); ylabel('Displacement [m]');
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xlim([10, 100]);
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% Computation of the ASD of the velocity and displacement
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% The ASD of the measured velocity is shown on figure [[fig:ground_motion_id31_asd_velocity]].
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@ -135,7 +164,7 @@ xlim([0.1, 500]); ylim([1e-13, 1e3]);
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% Save
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% We save the PSD of the ground motion for further analysis.
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save('./mat/psd_gm', 'f', 'psd_gm');
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save('./mat/psd_gm.mat', 'f', 'psd_gm', 'psd_gv');
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% Load the measurement data
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% First we load the measurement data.
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