Add waterfall graph

content/data_sci/visualization/sci_graphics/waterfall.md

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+---
+title: 3D Waterfall
+tags:
+  - advanced
+  - graph
+  - matlab
+  - python
+date: 2024-05-07
+---
+
+3D Waterfall - 3D 瀑布图
+
+# Different kind of 3D waterfall for Different Applications
+
+## 3D Waterfall for EMD
+
+### Code
+
+
+```matlab
+clear all;clc;close all;
+
+set(0, 'DefaultAxesFontSize', 16); % 设置坐标轴标签的字体大小
+
+set(0, 'DefaultTextFontSize', 16); % 设置文本框的字体大小
+
+% 假设你已经有了一个信号，这里我们创建一个示例信号
+
+t = 0:0.01:10; % 时间向量
+
+signal = cos(2*pi*t) + 0.5*cos(4*pi*t) + rand(1, length(t)) * 0.1; % 示例信号
+
+% 使用EMD进行分解
+
+[IMFs, residuals] = emd(signal);
+
+% waterfall plot the IMFs
+
+figure('Position', [0 0 1500 900]);
+
+plot3(zeros(length(IMFs), 1), t, signal, 'LineWidth', 1.5, 'DisplayName', 'Signal');
+
+hold on;
+
+for i = 1:size(IMFs, 2)
+
+plot3(ones(length(IMFs), 1) * i, t, IMFs(:, i), 'LineWidth', 1.5, 'DisplayName', ['IMF ' num2str(i)]);
+
+hold on;
+
+end
+
+% plot the residuals
+
+plot3(ones(length(IMFs), 1) * (size(IMFs, 2) + 1), t, residuals, 'LineWidth', 1.5, 'DisplayName', 'Residuals');
+
+hold off;
+
+xStringLables = cell(1, size(IMFs, 2) + 2);
+
+xStringLables{1} = 'Signal';
+
+for i = 1:size(IMFs, 2)
+
+xStringLables{i + 1} = ['IMF ' num2str(i)];
+
+end
+
+xStringLables{size(IMFs, 2) + 2} = 'Residuals';
+
+% 设置图例
+
+legend('show');
+
+xlabel('IMF Index');
+
+ylabel('Time');
+
+zlabel('Amplitude');
+
+title('EMD Decomposition of Signal');
+
+xticks(0:size(IMFs, 2) + 1);
+
+xticklabels(xStringLables);
+
+grid on;
+
+% 保存图像
+
+saveas(gcf, 'EMD_Decomposition.png');
+```
+
+### Result
+
+![](data_sci/visualization/sci_graphics/attachments/EMD_Decomposition.png)