new file

matlab/tfgm/scripts/script_gabmul_eigs_properties.m

+clc; clear; close all; 
+%%
+
+load('evdn_gauss_hann.mat');
+
+
+pwd;
+fig_dir ='fig_localisation_properties_of_gabmul_eigs';
+if ~exist(fig_dir,'dir')
+    mkdir(fig_dir);
+end
+addpath(fig_dir)
+
+%%
+%%
+figure; 
+D1 = diag(evdn_hann.Gauss256.D);
+D4= diag(evdn_gauss.Gauss256.D);
+
+semilogy(D4,'b', 'Linewidth',4);
+hold on; 
+semilogy(D1, 'r','Linewidth',4);
+semilogy(D4(1),'bo', 'Linewidth', 15,'MarkerSize',10)
+semilogy(D1(1),'r^','Linewidth', 15,'MarkerSize',10)
+semilogy(3539,D4(3539),'bo','Linewidth', 15,'MarkerSize',10)
+semilogy(3408,D1(3408),'r^','Linewidth', 15,'MarkerSize',10)
+grid on;
+
+
+xlabel({'index = $k$'},'Interpreter','latex');
+ylabel({' Eigenvalues $\sigma[k]$'},'Interpreter','latex');
+
+set(gca, 'FontSize', 20, 'fontName','Times');
+
+l = legend('Gauss','Hann',...,
+    '$\sigma[1]$ = 1, $\sigma[3539] = 2.699 \times 10^{-4}$',...,
+    '$\sigma[1]$ =1, $\sigma[3408] = 1.258 \times 10^{-4}$',...,
+    'Location','southwest');
+
+set(l, 'interpreter', 'latex')
+saveas(gcf,fullfile(fig_dir, 'eigenvalues_gauss_hann.fig'));
+saveas(gcf,fullfile(fig_dir, 'eigenvalues_gauss_hann.png'));
+%% eigenvectors
+figure; 
+eigs_gauss = evdn_gauss.Gauss256.U;
+set(gcf,'position',[1, 1 1000 800]);
+subplot(221);
+plot_spectrogram(eigs_gauss(:,147), param_dict.('Gauss256').dgt_params,...,
+    param_dict.('Gauss256').signal_params, param_dict.('Gauss256').dgt);
+yticks([0,1000,2000,3000,4000]);
+yticklabels([0,1,2,3,4]);
+ylabel('Frequency (kHz)')
+set(gca, 'FontSize', 20, 'fontName','Times');
+subplot(222);
+plot_spectrogram(eigs_gauss(:,86), param_dict.('Gauss256').dgt_params,...,
+    param_dict.('Gauss256').signal_params, param_dict.('Gauss256').dgt);
+yticks([0,1000,2000,3000,4000]);
+yticklabels([0,1,2,3,4]);
+ylabel('Frequency (kHz)')
+set(gca, 'FontSize', 20, 'fontName','Times');
+    subplot(223);
+plot_spectrogram(eigs_gauss(:,3039), param_dict.('Gauss256').dgt_params,...,
+    param_dict.('Gauss256').signal_params, param_dict.('Gauss256').dgt);
+yticks([0,1000,2000,3000,4000]);
+yticklabels([0,1,2,3,4]);
+ylabel('Frequency (kHz)')
+set(gca, 'FontSize', 20, 'fontName','Times');
+subplot(224);
+plot_spectrogram(eigs_gauss(:,3046), param_dict.('Gauss256').dgt_params,...,
+    param_dict.('Gauss256').signal_params, param_dict.('Gauss256').dgt);
+ylabel('Frequency (kHz)')
+yticks([0,1000,2000,3000,4000]);
+yticklabels([0,1,2,3,4]);
+set(gca, 'FontSize', 20, 'fontName','Times');
+saveas(gcf,fullfile(fig_dir, 'eigvectors_prop_illustration.png'));
+saveas(gcf,fullfile(fig_dir, 'eigvectors_prop_illustration.fig'));
+
+%% mask
+mask_gauss = mask_dict.Gauss256;
+figure;
+plot_spectrogram(mask_gauss.mask, param_dict.('Gauss256').dgt_params,...,
+    param_dict.('Gauss256').signal_params, param_dict.('Gauss256').dgt);
+ylabel('Frequency (kHz)')
+yticks([0,1000,2000,3000,4000]);
+yticklabels([0,1,2,3,4]);
+set(gca, 'FontSize', 20, 'fontName','Times');
+saveas(gcf,fullfile(fig_dir, 'mask_gauss.pdf'));
+
+
+%%
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