To plot an ellipse on a poincare graph using MATLAB, where the ellipse is centered at the mean and has standard deviations as its radii, you can follow these steps:
1. Compute the mean of your data and the standard deviations along the principal axes.
data = randn(100, 2);
meanData = mean(data);
stdDev1 = std(data(:,1));
stdDev2 = std(data(:,2));
2. Generate points for the ellipse and use parametric equations for the ellipse.
% Parametric angle
theta = linspace(0, 2*pi, 100);
% Ellipse parameters
xEllipse = meanData(1) + stdDev1 * cos(theta);
yEllipse = meanData(2) + stdDev2 * sin(theta);
3. Use the "plot" function to draw the ellipse on the poincare graph.
figure;
scatter(data(:,1), data(:,2), 'b.');
hold on;
plot(xEllipse, yEllipse, 'r-', 'LineWidth', 2);
xlabel('x');
ylabel('y');
title('Poincaré Plot with Ellipse');
grid on;
axis equal;
hold off;
Hope this works for you!
