measure LF FRF
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@ -9,7 +9,9 @@ addpath('./src/');
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% Test with one APA
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%% Load measurement data for APA number 1
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load(sprintf('mat/frf_data_%i_sweep_lf.mat', 2), 't', 'Va', 'Vs', 'de', 'da');
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strut_number = 1;
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% load(sprintf('mat/frf_data_exc_strut_%i_noise_lf.mat', strut_number), 't', 'Va', 'Vs', 'de');
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load(sprintf('mat/frf_data_exc_strut_%i_noise_hf.mat', strut_number), 't', 'Va', 'Vs', 'de');
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% Compute transfer functions:
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@ -18,31 +20,17 @@ Fs = 1/Ts;
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win = hanning(ceil(1*Fs)); % Hannning Windows
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%% DVF
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[G_dvf, f] = tfestimate(Va, de, win, [], [], 1/Ts);
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[G_d, ~] = tfestimate(Va, da, win, [], [], 1/Ts);
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[G_iff, ~] = tfestimate(Va, Vs, win, [], [], 1/Ts);
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[coh_dvf, ~] = mscohere(Va, de, win, [], [], 1/Ts);
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[coh_d, ~] = mscohere(Va, da, win, [], [], 1/Ts);
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[coh_iff, ~] = mscohere(Va, Vs, win, [], [], 1/Ts);
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%%
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figure;
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hold on;
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plot(f, coh_dvf);
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plot(f, coh_d);
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plot(f, coh_iff);
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hold off;
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set(gca, 'XScale', 'log');
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tiledlayout(3, 1, 'TileSpacing', 'None', 'Padding', 'None');
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%%
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figure;
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tiledlayout(2, 1, 'TileSpacing', 'None', 'Padding', 'None');
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ax1 = nexttile;
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ax1 = nexttile([2,1]);
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hold on;
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plot(f, abs(G_dvf));
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plot(f, abs(G_d));
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for i =1:6
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plot(f, abs(G_dvf(:,i)));
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end
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
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ylabel('Amplitude $V_{out}/V_{in}$ [V/V]'); set(gca, 'XTickLabel',[]);
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@ -50,8 +38,9 @@ hold off;
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ax2 = nexttile;
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hold on;
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plot(f, 180/pi*angle(G_dvf));
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plot(f, 180/pi*angle(G_d));
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for i =1:6
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plot(f, 180/pi*angle(G_dvf(:,i)));
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end
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
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xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
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@ -61,29 +50,58 @@ yticks(-360:90:360);
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linkaxes([ax1,ax2],'x');
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xlim([5, 5e3]);
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figure;
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tiledlayout(2, 1, 'TileSpacing', 'None', 'Padding', 'None');
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%% IFF
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[G_iff, f] = tfestimate(Va, Vs, win, [], [], 1/Ts);
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ax1 = nexttile;
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plot(f, abs(G_iff));
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figure;
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tiledlayout(3, 1, 'TileSpacing', 'None', 'Padding', 'None');
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ax1 = nexttile([2,1]);
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hold on;
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for i =1:6
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plot(f, abs(G_iff(:,i)));
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end
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
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ylabel('Amplitude $V_{out}/V_{in}$ [V/V]'); set(gca, 'XTickLabel',[]);
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hold off;
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ax2 = nexttile;
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plot(f, 180/pi*angle(G_iff));
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hold on;
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for i =1:6
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plot(f, 180/pi*angle(G_iff(:,i)));
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end
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
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xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
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hold off;
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yticks(-360:90:360);
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linkaxes([ax1,ax2],'x');
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xlim([0.1, 10]);
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xlim([5, 5e3]);
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% Comparison of all APA
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%%
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[coh_dvf, ~] = mscohere(Va, de, win, [], [], 1/Ts);
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[coh_iff, ~] = mscohere(Va, Vs, win, [], [], 1/Ts);
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%% Load all the measurements
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meas_data = {};
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for i = 1:7
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meas_data(i) = {load(sprintf('mat/frf_data_%i.mat', i), 't', 'Va', 'Vs', 'de', 'da')};
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%%
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figure;
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hold on;
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for i =1:6
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plot(f, coh_dvf(:,i));
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end
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
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xlabel('Frequency [Hz]'); ylabel('Coherence');
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ylim([0,1]);
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%%
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figure;
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hold on;
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for i =1:6
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plot(f, coh_iff(:,i));
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end
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hold off;
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set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin');
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xlabel('Frequency [Hz]'); ylabel('Coherence');
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ylim([0,1]);
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@ -17,19 +17,17 @@ close(f);
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data = SimulinkRealTime.utils.getFileScopeData('data/data.dat').data;
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da = data(:, 1); % Excitation Voltage (input of PD200) [V]
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de = data(:, 2); % Measured voltage (force sensor) [V]
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Vs = data(:, 3); % Measurment displacement (encoder) [m]
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Va = data(:, 4); % Measurement displacement (attocube) [m]
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de = data(:, 1:6); % Measurment displacement (encoder) [m]
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Vs = data(:, 7:12); % Measured voltage (force sensor) [V]
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Va = data(:, 13); % Excitation Voltage [V]
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t = data(:, end); % Time [s]
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% And we save this to a =mat= file:
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apa_number = 1;
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% leg_number = 4;
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strut_number = 1;
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save(sprintf('mat/frf_data_leg_coder_%i_noise.mat', apa_number), 't', 'Va', 'Vs', 'de', 'da');
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% save(sprintf('mat/frf_data_leg_coder_%i_sweep.mat', apa_number), 't', 'Va', 'Vs', 'de', 'da');
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% save(sprintf('mat/frf_data_leg_coder_%i_noise_hf.mat', apa_number), 't', 'Va', 'Vs', 'de', 'da');
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% save(sprintf('mat/frf_data_leg_coder_%i_add_mass_closed_circuit.mat', apa_number), 't', 'Va', 'Vs', 'de', 'da');
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% save(sprintf('mat/frf_data_exc_strut_%i_noise.mat', strut_number), 't', 'Va', 'Vs', 'de');
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% save(sprintf('mat/frf_data_exc_strut_%i_noise_lf.mat', strut_number), 't', 'Va', 'Vs', 'de');
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% save(sprintf('mat/frf_data_exc_strut_%i_sweep.mat', strut_number), 't', 'Va', 'Vs', 'de');
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save(sprintf('mat/frf_data_exc_strut_%i_noise_hf.mat', strut_number), 't', 'Va', 'Vs', 'de');
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% save(sprintf('mat/frf_data_exc_strut_%i_add_mass_closed_circuit.mat', strut_number), 't', 'Va', 'Vs', 'de');
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@ -7,8 +7,8 @@ s = zpk('s');
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addpath('./src/');
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%% Simulation configuration
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Fs = 10e3; % Sampling Frequency [Hz]
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Ts = 1/Fs; % Sampling Time [s]
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Fs = 10e3; % Sampling Frequency [Hz]
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Ts = 1/Fs; % Sampling Time [s]
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%% Data record configuration
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Trec_start = 5; % Start time for Recording [s]
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@ -27,7 +27,7 @@ V_noise = generateShapedNoise('Ts', 1/Fs, ...
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%% Sweep Sine
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gc = 0.1;
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xi = 0.5;
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wn = 2*pi*94.3;
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wn = 2*pi*92.7;
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% Notch filter at the resonance of the APA
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G_sweep = 0.2*(s^2 + 2*gc*xi*wn*s + wn^2)/(s^2 + 2*xi*wn*s + wn^2);
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@ -41,8 +41,17 @@ V_sweep = generateSweepExc('Ts', Ts, ...
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'sweep_type', 'log', ...
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'V_exc', G_sweep*1/(1 + s/2/pi/500));
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V_sweep_lf = generateSweepExc('Ts', Ts, ...
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'f_start', 0.1, ...
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'f_end', 10, ...
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'V_mean', 3.25, ...
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't_start', Trec_start, ...
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'exc_duration', Trec_dur, ...
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'sweep_type', 'log', ...
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'V_exc', 0.2);
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%% High Frequency Shaped Noise
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[b,a] = cheby1(10, 2, 2*pi*[300 2e3], 'bandpass', 's');
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[b,a] = cheby1(10, 2, 2*pi*[240 2e3], 'bandpass', 's');
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wL = 0.005*tf(b, a);
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V_noise_hf = generateShapedNoise('Ts', 1/Fs, ...
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@ -52,6 +61,17 @@ V_noise_hf = generateShapedNoise('Ts', 1/Fs, ...
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'smooth_ends', true, ...
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'V_exc', wL);
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%% Low Frequency Shaped Noise
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[b,a] = cheby1(10, 2, 2*pi*[10 260], 'bandpass', 's');
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wL = 0.005*tf(b, a);
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V_noise_lf = generateShapedNoise('Ts', 1/Fs, ...
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'V_mean', 3.25, ...
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't_start', Trec_start, ...
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'exc_duration', Trec_dur, ...
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'smooth_ends', true, ...
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'V_exc', wL);
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%% Sinus excitation with increasing amplitude
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V_sin = generateSinIncreasingAmpl('Ts', 1/Fs, ...
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'V_mean', 3.25, ...
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@ -61,20 +81,33 @@ V_sin = generateSinIncreasingAmpl('Ts', 1/Fs, ...
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't_start', Trec_start, ...
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'smooth_ends', true);
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%% Zero Excitation
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% Trec_start = 10; % Start time for Recording [s]
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% Trec_dur = 10; % Recording Duration [s]
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%
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% Tsim = 2*Trec_start + Trec_dur; % Simulation Time [s]
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V_zero = generateShapedNoise('Ts', 1/Fs, ...
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'V_mean', 3.25, ...
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't_start', Trec_start, ...
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'exc_duration', Trec_dur, ...
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'smooth_ends', true, ...
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'V_exc', tf(0));
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%% Select the excitation signal
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V_exc = timeseries(V_noise(2,:), V_noise(1,:));
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V_exc = timeseries(V_noise_hf(2,:), V_noise_hf(1,:));
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%% Plot
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figure;
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tiledlayout(1, 2, 'TileSpacing', 'Normal', 'Padding', 'None');
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ax1 = nexttile;
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plot(V_exc(1,:), V_exc(2,:));
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plot(V_exc.Time, squeeze(V_exc.Data));
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xlabel('Time [s]'); ylabel('Amplitude [V]');
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ax2 = nexttile;
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win = hanning(floor(length(V_exc)/8));
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[pxx, f] = pwelch(V_exc(2,:), win, 0, [], Fs);
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win = hanning(floor(length(squeeze(V_exc.Data))/8));
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[pxx, f] = pwelch(squeeze(V_exc.Data), win, 0, [], Fs);
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plot(f, pxx)
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xlabel('Frequency [Hz]'); ylabel('Power Spectral Density [$V^2/Hz$]');
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set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
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matlab/mat/frf_data_exc_strut_1_noise_lf.mat
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matlab/mat/frf_data_exc_strut_1_noise_lf.mat
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matlab/mat/frf_data_exc_strut_2_noise_lf.mat
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matlab/mat/frf_data_exc_strut_2_noise_lf.mat
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matlab/mat/frf_data_exc_strut_3_noise_lf.mat
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matlab/mat/frf_data_exc_strut_3_noise_lf.mat
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matlab/mat/frf_data_exc_strut_4_noise_lf.mat
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matlab/mat/frf_data_exc_strut_4_noise_lf.mat
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matlab/mat/frf_data_exc_strut_5_noise_lf.mat
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matlab/mat/frf_data_exc_strut_5_noise_lf.mat
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matlab/mat/frf_data_exc_strut_6_noise_lf.mat
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matlab/mat/frf_data_exc_strut_6_noise_lf.mat
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