Tangle files
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index.org
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index.org
@ -104,18 +104,28 @@
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** Time Domain Data
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#+begin_src matlab
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figure;
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subplot(1,2,1);
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plot(data(:, 3), data(:, 1))
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ylabel('Input Voltage [V]'); xlabel('Time [s]');
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subplot(1,2,2);
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plot(data(:, 3), data(:, 2))
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plot(t, y)
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ylabel('Output Displacement [m]'); xlabel('Time [s]');
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#+end_src
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** PSD of Measurement Noise
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#+begin_src matlab
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Ts = t(end)/(length(t)-1);
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Fs = 1/Ts;
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win = hanning(ceil(1*Fs));
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#+end_src
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#+begin_src matlab
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[pxx, f] = pwelch(y, win, [], [], Fs);
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#+end_src
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#+begin_src matlab
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figure;
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plot(f, sqrt(pxx));
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
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xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
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#+end_src
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* Transfer Function Estimation with m=5kg
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:PROPERTIES:
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@ -125,7 +135,8 @@
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** Load Data
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#+begin_src matlab
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load('./mat/huddle_test.mat', 't', 'u', 'y');
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ht = load('./mat/huddle_test.mat', 't', 'u', 'y');
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load('./mat/apa95ml_5kg.mat', 't', 'u', 'y');
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#+end_src
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** Time Domain Data
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@ -133,15 +144,39 @@
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figure;
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subplot(1,2,1);
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plot(data(:, 3), data(:, 1))
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plot(t, u)
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ylabel('Input Voltage [V]'); xlabel('Time [s]');
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subplot(1,2,2);
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plot(data(:, 3), data(:, 2))
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plot(t, y)
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ylabel('Output Displacement [m]'); xlabel('Time [s]');
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#+end_src
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** Comparison of the PSD with Huddle Test
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#+begin_src matlab
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Ts = t(end)/(length(t)-1);
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Fs = 1/Ts;
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win = hanning(ceil(1*Fs));
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#+end_src
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#+begin_src matlab
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[pxx, f] = pwelch(y, win, [], [], Fs);
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[pht, ~] = pwelch(ht.y, win, [], [], Fs);
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#+end_src
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#+begin_src matlab
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figure;
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hold on;
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plot(f, sqrt(pxx), 'DisplayName', '5kg');
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plot(f, sqrt(pht), 'DisplayName', 'Huddle Test');
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
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xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
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legend('locaation', 'norteast');
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#+end_src
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** Compute TF estimate and Coherence
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#+begin_src matlab
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win = hann(ceil(1/Ts));
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23
matlab/huddle_test.m
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23
matlab/huddle_test.m
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@ -0,0 +1,23 @@
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% Load Data
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load('./mat/huddle_test.mat', 't', 'u', 'y');
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% Time Domain Data
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figure;
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plot(t, y)
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ylabel('Output Displacement [m]'); xlabel('Time [s]');
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% PSD of Measurement Noise
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Ts = t(end)/(length(t)-1);
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Fs = 1/Ts;
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win = hanning(ceil(1*Fs));
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[pxx, f] = pwelch(y, win, [], [], Fs);
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figure;
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plot(f, sqrt(pxx));
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
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xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
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11
matlab/run_experiment.m
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11
matlab/run_experiment.m
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@ -0,0 +1,11 @@
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% Load Data
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data = SimulinkRealTime.utils.getFileScopeData('data/apa95ml.dat').data;
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% Save Data
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u = data(:, 1); % Input Voltage [V]
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y = data(:, 2); % Output Displacement [m]
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t = data(:, 3); % Time [s]
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save('./mat/huddle_test.mat', 't', 'u', 'y', 'Glpf');
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9
matlab/setup_experiment.m
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9
matlab/setup_experiment.m
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@ -0,0 +1,9 @@
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% Parameters
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Ts = 1e-4;
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% Filter White Noise
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Glpf = 1/(1 + s/2/pi/500);
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Gz = c2d(Glpf, Ts, 'tustin');
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74
matlab/tf_estimation.m
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74
matlab/tf_estimation.m
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@ -0,0 +1,74 @@
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% Load Data
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ht = load('./mat/huddle_test.mat', 't', 'u', 'y');
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load('./mat/apa95ml_5kg.mat', 't', 'u', 'y');
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% Time Domain Data
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figure;
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subplot(1,2,1);
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plot(t, u)
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ylabel('Input Voltage [V]'); xlabel('Time [s]');
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subplot(1,2,2);
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plot(t, y)
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ylabel('Output Displacement [m]'); xlabel('Time [s]');
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% Comparison of the PSD with Huddle Test
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Ts = t(end)/(length(t)-1);
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Fs = 1/Ts;
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win = hanning(ceil(1*Fs));
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[pxx, f] = pwelch(y, win, [], [], Fs);
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[pht, ~] = pwelch(ht.y, win, [], [], Fs);
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figure;
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hold on;
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plot(f, sqrt(pxx), 'DisplayName', '5kg');
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plot(f, sqrt(pht), 'DisplayName', 'Huddle Test');
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
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xlabel('Frequency [Hz]'); ylabel('ASD [$m/\sqrt{Hz}$]');
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legend('locaation', 'norteast');
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% Compute TF estimate and Coherence
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win = hann(ceil(1/Ts));
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[tf_est, f] = tfestimate(data(:, 1), -data(:, 2), win, [], [], 1/Ts);
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[co_est, ~] = mscohere( data(:, 1), -data(:, 2), win, [], [], 1/Ts);
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% Coherence
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figure;
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hold on;
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plot(f, co_est, 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
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ylabel('Coherence'); xlabel('Frequency [Hz]');
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hold off;
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% Transfer Function
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figure;
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ax1 = subplot(2, 1, 1);
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hold on;
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plot(f, abs(tf_est), 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'log');
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ylabel('Amplitude'); xlabel('Frequency [Hz]');
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hold off;
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ax2 = subplot(2, 1, 2);
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hold on;
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plot(f, 180/pi*angle(tf_est), 'k-')
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set(gca, 'Xscale', 'log'); set(gca, 'Yscale', 'lin');
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ylabel('Phase'); xlabel('Frequency [Hz]');
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legend();
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hold off;
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linkaxes([ax1,ax2], 'x');
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xlim([10, 5000]);
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